Measured proton electromagnetic structure deviates from theoretical predictions

<!DOCTYPE html> <html lang="en" class="grade-c"> <head> <title>Measured proton electromagnetic structure deviates from theoretical predictions | Nature</title> <link rel="alternate" type="application/rss+xml" href="https://www.nature.com/nature.rss"/> <script id="save-data-connection-testing"> function hasConnection() { return navigator.connection || navigator.mozConnection || navigator.webkitConnection || navigator.msConnection; } function createLink(src) { var preloadLink = document.createElement("link"); preloadLink.rel = "preload"; preloadLink.href = src; preloadLink.as = "font"; preloadLink.type = "font/woff2"; preloadLink.crossOrigin = ""; document.head.insertBefore(preloadLink, document.head.firstChild); } var connectionDetail = { saveDataEnabled: false, slowConnection: false }; var connection = hasConnection(); if (connection) { connectionDetail.saveDataEnabled = connection.saveData; if (/\slow-2g|2g/.test(connection.effectiveType)) { connectionDetail.slowConnection = true; } } if (!(connectionDetail.saveDataEnabled || connectionDetail.slowConnection)) { createLink("/static/fonts/HardingText-Regular-Web-cecd90984f.woff2"); } else { document.documentElement.classList.add('save-data'); } </script> <link rel="preconnect" href="https://cmp.nature.com" crossorigin> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <meta name="applicable-device" content="pc,mobile"> <meta name="viewport" content="width=device-width,initial-scale=1.0,maximum-scale=5,user-scalable=yes"> <meta name="360-site-verification" content="5a2dc4ab3fcb9b0393241ffbbb490480" /> <script data-test="dataLayer"> window.dataLayer = [{"content":{"category":{"contentType":"article","legacy":{"webtrendsPrimaryArticleType":"research","webtrendsSubjectTerms":"experimental-nuclear-physics;theoretical-nuclear-physics","webtrendsContentCategory":null,"webtrendsContentCollection":null,"webtrendsContentGroup":"Nature","webtrendsContentGroupType":null,"webtrendsContentSubGroup":"Article","status":null}},"article":{"doi":"10.1038/s41586-022-05248-1"},"attributes":{"cms":null,"deliveryPlatform":"oscar","copyright":{"open":false,"legacy":{"webtrendsLicenceType":null}}},"contentInfo":{"authors":["R. Li","N. Sparveris","H. Atac","M. K. Jones","M. Paolone","Z. Akbar","C. Ayerbe Gayoso","V. Berdnikov","D. Biswas","M. Boer","A. Camsonne","J.-P. Chen","M. Diefenthaler","B. Duran","D. Dutta","D. Gaskell","O. Hansen","F. Hauenstein","N. Heinrich","W. Henry","T. Horn","G. M. Huber","S. Jia","S. Joosten","A. Karki","S. J. D. Kay","V. Kumar","X. Li","W. B. Li","A. H. Liyanage","S. Malace","P. Markowitz","M. McCaughan","Z.-E. Meziani","H. Mkrtchyan","C. Morean","M. Muhoza","A. Narayan","B. Pasquini","M. Rehfuss","B. Sawatzky","G. R. Smith","A. Smith","R. Trotta","C. Yero","X. Zheng","J. Zhou"],"publishedAt":1666137600,"publishedAtString":"2022-10-19","title":"Measured proton electromagnetic structure deviates from theoretical predictions","legacy":null,"publishedAtTime":null,"documentType":"aplusplus","subjects":"Experimental nuclear physics,Theoretical nuclear physics"},"journal":{"pcode":"nature","title":"nature","volume":"611","issue":"7935","id":41586,"publishingModel":"Hybrid Access"},"authorization":{"status":false},"features":[{"name":"furtherReadingSection","present":true}],"collection":null},"page":{"category":{"pageType":"article"},"attributes":{"template":"mosaic","featureFlags":[{"name":"nature-onwards-journey","active":false}],"testGroup":null},"search":null},"privacy":{},"version":"1.0.0","product":null,"session":null,"user":null,"backHalfContent":true,"country":"SG","hasBody":true,"uneditedManuscript":false,"twitterId":["o3xnx","o43y9","o3ef7"],"baiduId":"d38bce82bcb44717ccc29a90c4b781ea","japan":false}]; window.dataLayer.push({ ga4MeasurementId: 'G-ERRNTNZ807', ga360TrackingId: 'UA-71668177-1', twitterId: ['3xnx', 'o43y9', 'o3ef7'], baiduId: 'd38bce82bcb44717ccc29a90c4b781ea', ga4ServerUrl: 'https://collect.nature.com', imprint: 'nature' }); </script> <script> (function(w, d) { w.config = w.config || {}; w.config.mustardcut = false; if (w.matchMedia && w.matchMedia('only print, only all and (prefers-color-scheme: no-preference), only all and (prefers-color-scheme: light), only all and (prefers-color-scheme: dark)').matches) { w.config.mustardcut = true; d.classList.add('js'); d.classList.remove('grade-c'); d.classList.remove('no-js'); } })(window, document.documentElement); </script> <style>@media only print, only all and (prefers-color-scheme: no-preference), only all and (prefers-color-scheme: light), only all and (prefers-color-scheme: dark) { .c-article-editorial-summary__container .c-article-editorial-summary__article-title,.c-card--major .c-card__title,.c-card__title,.u-h2,.u-h3,h2,h3{-webkit-font-smoothing:antialiased;font-family:Harding,Palatino,serif;font-weight:700;letter-spacing:-.0117156rem}.c-article-editorial-summary__container .c-article-editorial-summary__article-title,.c-card__title,.u-h3,h3{font-size:1.25rem;line-height:1.4rem}.c-reading-companion__figure-title,.u-h4,h4{-webkit-font-smoothing:antialiased;font-weight:700;line-height:1.4rem}html{text-size-adjust:100%;box-sizing:border-box;font-size:100%;height:100%;line-height:1.15;overflow-y:scroll}body{background:#eee;color:#222;font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;font-size:1.125rem;line-height:1.76;margin:0;min-height:100%}details,main{display:block}h1{font-size:2em;margin:.67em 0}a,sup{vertical-align:baseline}a{background-color:transparent;color:#069;overflow-wrap:break-word;text-decoration:underline;text-decoration-skip-ink:auto;word-break:break-word}b{font-weight:bolder}sup{font-size:75%;line-height:0;position:relative;top:-.5em}img{border:0;height:auto;max-width:100%;vertical-align:middle}button,input,select{font-family:inherit;font-size:100%;line-height:1.15;margin:0}button,input{overflow:visible}button,select{text-transform:none}[type=submit],button{-webkit-appearance:button}[type=checkbox]{box-sizing:border-box;padding:0}summary{display:list-item}[hidden]{display:none}button{border-radius:0;cursor:pointer;font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif}h1{-webkit-font-smoothing:antialiased;font-family:Harding,Palatino,serif;font-size:2rem;font-weight:700;letter-spacing:-.0390625rem;line-height:2.25rem}.c-card--major .c-card__title,.u-h2,.u-h3,h2{font-family:Harding,Palatino,serif;letter-spacing:-.0117156rem}.c-card--major .c-card__title,.u-h2,h2{-webkit-font-smoothing:antialiased;font-size:1.5rem;font-weight:700;line-height:1.6rem}.u-h3{font-size:1.25rem}.c-card__title,.c-reading-companion__figure-title,.u-h3,.u-h4,h4,h5,h6{-webkit-font-smoothing:antialiased;font-weight:700;line-height:1.4rem}.c-article-editorial-summary__container .c-article-editorial-summary__article-title,.c-card__title,h3{font-family:Harding,Palatino,serif;font-size:1.25rem}.c-article-editorial-summary__container .c-article-editorial-summary__article-title,h3{-webkit-font-smoothing:antialiased;font-weight:700;letter-spacing:-.0117156rem;line-height:1.4rem}.c-reading-companion__figure-title,.u-h4,h4{font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;font-size:1.125rem;letter-spacing:-.0117156rem}button:focus{outline:3px solid #fece3e;will-change:transform}input+label{padding-left:.5em}nav ol,nav ul{list-style:none none}p:empty{display:none}.sans-serif{font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif}.article-page{background:#fff}.c-article-header{font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;margin-bottom:40px}.c-article-identifiers{color:#6f6f6f;display:flex;flex-wrap:wrap;font-size:1rem;line-height:1.3;list-style:none;margin:0 0 8px;padding:0}.c-article-identifiers__item{border-right:1px solid #6f6f6f;list-style:none;margin-right:8px;padding-right:8px}.c-article-identifiers__item:last-child{border-right:0;margin-right:0;padding-right:0}.c-article-title{font-size:1.5rem;line-height:1.25;margin:0 0 16px}@media only screen and (min-width:768px){.c-article-title{font-size:1.875rem;line-height:1.2}}.c-article-author-list{display:inline;font-size:1rem;list-style:none;margin:0 8px 0 0;padding:0;width:100%}.c-article-author-list__item{display:inline;padding-right:0}.c-article-author-list svg{margin-left:4px}.c-article-author-list__show-more{display:none;margin-right:4px}.c-article-author-list__button,.js .c-article-author-list__item--hide,.js .c-article-author-list__show-more{display:none}.js .c-article-author-list--long .c-article-author-list__show-more,.js .c-article-author-list--long+.c-article-author-list__button{display:inline}@media only screen and (max-width:539px){.js .c-article-author-list__item--hide-small-screen{display:none}.js .c-article-author-list--short .c-article-author-list__show-more,.js .c-article-author-list--short+.c-article-author-list__button{display:inline}}#uptodate-client,.js .c-article-author-list--expanded .c-article-author-list__show-more{display:none!important}.js .c-article-author-list--expanded .c-article-author-list__item--hide-small-screen{display:inline!important}.c-article-author-list__button,.c-button-author-list{background:#ebf1f5;border:4px solid #ebf1f5;border-radius:20px;color:#666;font-size:.875rem;line-height:1.4;padding:2px 11px 2px 8px;text-decoration:none}.c-article-author-list__button svg,.c-button-author-list svg{margin:1px 4px 0 0}.c-article-author-list__button:hover,.c-button-author-list:hover{background:#069;border-color:transparent;color:#fff}.c-article-info-details{font-size:1rem;margin-bottom:8px;margin-top:16px}.c-article-info-details__cite-as{border-left:1px solid #6f6f6f;margin-left:8px;padding-left:8px}.c-article-metrics-bar{display:flex;flex-wrap:wrap;font-size:1rem;line-height:1.3}.c-article-metrics-bar__wrapper{margin:16px 0}.c-article-metrics-bar__item{align-items:baseline;border-right:1px solid #6f6f6f;margin-right:8px}.c-article-metrics-bar__item:last-child{border-right:0}.c-article-metrics-bar__count{font-weight:700;margin:0}.c-article-metrics-bar__label{color:#626262;font-style:normal;font-weight:400;margin:0 10px 0 5px}.c-article-metrics-bar__details{margin:0}.c-article-main-column{font-family:Harding,Palatino,serif;margin-right:8.6%;width:60.2%}@media only screen and (max-width:1023px){.c-article-main-column{margin-right:0;width:100%}}.c-article-extras{float:left;font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;width:31.2%}@media only screen and (max-width:1023px){.c-article-extras{display:none}}.c-article-associated-content__container .c-article-associated-content__title,.c-article-section__title{border-bottom:2px solid #d5d5d5;font-size:1.25rem;margin:0;padding-bottom:8px}@media only screen and (min-width:768px){.c-article-associated-content__container .c-article-associated-content__title,.c-article-section__title{font-size:1.5rem;line-height:1.24}}.c-article-associated-content__container .c-article-associated-content__title{margin-bottom:8px}.c-article-body p{margin-bottom:24px;margin-top:0}.c-article-section{clear:both}.c-article-section__content{margin-bottom:40px;padding-top:8px}@media only screen and (max-width:1023px){.c-article-section__content{padding-left:0}}.c-article-authors-search{margin-bottom:24px;margin-top:0}.c-article-authors-search__item,.c-article-authors-search__title{font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif}.c-article-authors-search__title{color:#626262;font-size:1.05rem;font-weight:700;margin:0;padding:0}.c-article-authors-search__item{font-size:1rem}.c-article-authors-search__text{margin:0}.c-article-license__badge,c-card__section{margin-top:8px}.c-code-block{border:1px solid #eee;font-family:monospace;margin:0 0 24px;padding:20px}.c-code-block__heading{font-weight:400;margin-bottom:16px}.c-code-block__line{display:block;overflow-wrap:break-word;white-space:pre-wrap}.c-article-share-box__no-sharelink-info{font-size:.813rem;font-weight:700;margin-bottom:24px;padding-top:4px}.c-article-share-box__only-read-input{border:1px solid #d5d5d5;box-sizing:content-box;display:inline-block;font-size:.875rem;font-weight:700;height:24px;margin-bottom:8px;padding:8px 10px}.c-article-share-box__button--link-like{background-color:transparent;border:0;color:#069;cursor:pointer;font-size:.875rem;margin-bottom:8px;margin-left:10px}.c-article-editorial-summary__container{font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;font-size:1rem}.c-article-editorial-summary__container .c-article-editorial-summary__content p:last-child{margin-bottom:0}.c-article-editorial-summary__container .c-article-editorial-summary__content--less{max-height:9.5rem;overflow:hidden}.c-article-editorial-summary__container .c-article-editorial-summary__button{background-color:#fff;border:0;color:#069;font-size:.875rem;margin-bottom:16px}.c-article-editorial-summary__container .c-article-editorial-summary__button.active,.c-article-editorial-summary__container .c-article-editorial-summary__button.hover,.c-article-editorial-summary__container .c-article-editorial-summary__button:active,.c-article-editorial-summary__container .c-article-editorial-summary__button:hover{text-decoration:underline;text-decoration-skip-ink:auto}.c-article-associated-content__container .c-article-associated-content__collection-label{font-size:.875rem;line-height:1.4}.c-article-associated-content__container .c-article-associated-content__collection-title{line-height:1.3}.c-context-bar{box-shadow:0 0 10px 0 rgba(51,51,51,.2);position:relative;width:100%}.c-context-bar__title{display:none}.c-reading-companion{clear:both;min-height:389px}.c-reading-companion__sticky{max-width:389px}.c-reading-companion__scroll-pane{margin:0;min-height:200px;overflow:hidden auto}.c-reading-companion__tabs{display:flex;flex-flow:row nowrap;font-size:1rem;list-style:none;margin:0 0 8px;padding:0}.c-reading-companion__tabs>li{flex-grow:1}.c-reading-companion__tab{background-color:#eee;border:1px solid #d5d5d5;border-image:initial;border-left-width:0;color:#069;font-size:1rem;padding:8px 8px 8px 15px;text-align:left;width:100%}.c-reading-companion__tabs li:first-child .c-reading-companion__tab{border-left-width:1px}.c-reading-companion__tab--active{background-color:#fff;border-bottom:1px solid #fff;color:#222;font-weight:700}.c-reading-companion__sections-list{list-style:none;padding:0}.c-reading-companion__figures-list,.c-reading-companion__references-list{list-style:none;min-height:389px;padding:0}.c-reading-companion__references-list--numeric{list-style:decimal inside}.c-reading-companion__sections-list{margin:0 0 8px;min-height:50px}.c-reading-companion__section-item{font-size:1rem;padding:0}.c-reading-companion__section-item a{display:block;line-height:1.5;overflow:hidden;padding:8px 0 8px 16px;text-overflow:ellipsis;white-space:nowrap}.c-reading-companion__figure-item{border-top:1px solid #d5d5d5;font-size:1rem;padding:16px 8px 16px 0}.c-reading-companion__figure-item:first-child{border-top:none;padding-top:8px}.c-reading-companion__reference-item{border-top:1px solid #d5d5d5;font-size:1rem;padding:8px 8px 8px 16px}.c-reading-companion__reference-item:first-child{border-top:none}.c-reading-companion__reference-item a{word-break:break-word}.c-reading-companion__reference-citation{display:inline}.c-reading-companion__reference-links{font-size:.813rem;font-weight:700;list-style:none;margin:8px 0 0;padding:0;text-align:right}.c-reading-companion__reference-links>a{display:inline-block;padding-left:8px}.c-reading-companion__reference-links>a:first-child{display:inline-block;padding-left:0}.c-reading-companion__figure-title{display:block;margin:0 0 8px}.c-reading-companion__figure-links{display:flex;justify-content:space-between;margin:8px 0 0}.c-reading-companion__figure-links>a{align-items:center;display:flex}.c-reading-companion__figure-full-link svg{height:.8em;margin-left:2px}.c-reading-companion__panel{border-top:none;display:none;margin-top:0;padding-top:0}.c-cod,.c-reading-companion__panel--active{display:block}.c-cod{font-size:1rem;width:100%}.c-cod__form{background:#ebf0f3}.c-cod__prompt{font-size:1.125rem;line-height:1.3;margin:0 0 24px}.c-cod__label{display:block;margin:0 0 4px}.c-cod__row{display:flex;margin:0 0 16px}.c-cod__row:last-child{margin:0}.c-cod__input{border:1px solid #d5d5d5;border-radius:2px;flex-basis:75%;flex-shrink:0;margin:0;padding:13px}.c-cod__input--submit{background-color:#069;border:1px solid #069;color:#fff;flex-shrink:1;margin-left:8px;transition:background-color .2s ease-out 0s,color .2s ease-out 0s}.c-cod__input--submit-single{flex-basis:100%;flex-shrink:0;margin:0}.c-cod__input--submit:focus,.c-cod__input--submit:hover{background-color:#fff;color:#069}.c-pdf-download__link .u-icon{padding-top:2px}.c-pdf-download{display:flex;margin-bottom:16px;max-height:48px}@media only screen and (min-width:540px){.c-pdf-download{max-height:none}}@media only screen and (min-width:1024px){.c-pdf-download{max-height:48px}}.c-pdf-download__link{display:flex;flex:1 1 0%}.c-pdf-download__link:hover{text-decoration:none}.c-pdf-download__text{padding-right:4px}@media only screen and (max-width:539px){.c-pdf-download__text{text-transform:capitalize}}@media only screen and (min-width:540px){.c-pdf-download__text{padding-right:8px}}.c-context-bar--sticky .c-pdf-download{display:block;margin-bottom:0;white-space:nowrap}@media only screen and (max-width:539px){.c-pdf-download .u-sticky-visually-hidden{clip:rect(0,0,0,0);border:0;height:1px;margin:-100%;overflow:hidden;padding:0;position:absolute!important;width:1px}}.c-pdf-container{display:flex;justify-content:flex-end}@media only screen and (max-width:539px){.c-pdf-container .c-pdf-download{display:flex;flex-basis:100%}}.c-pdf-container .c-pdf-download+.c-pdf-download{margin-left:16px}.c-article-extras .c-pdf-container .c-pdf-download{width:100%}.c-article-extras .c-pdf-container .c-pdf-download+.c-pdf-download{margin-left:0}@media only screen and (min-width:540px){.c-context-bar--sticky .c-pdf-download__link{align-items:center;flex:1 1 183px}}@media only screen and (max-width:320px){.c-context-bar--sticky .c-pdf-download__link{padding:16px}}.article-page--commercial .c-article-main-column .c-pdf-button__container .c-pdf-download{display:none}@media only screen and (max-width:1023px){.article-page--commercial .c-article-main-column .c-pdf-button__container .c-pdf-download{display:block}}.c-status-message--success{border-bottom:2px solid #00b8b0;justify-content:center;margin-bottom:16px;padding-bottom:8px}.c-recommendations-list__item .c-card{flex-basis:100%}.c-recommendations-list__item .c-card__image{align-items:baseline;flex:1 1 40%;margin:0 0 0 16px;max-width:150px}.c-recommendations-list__item .c-card__image img{border:1px solid #cedbe0;height:auto;min-height:0;position:static}@media only screen and (max-width:1023px){.c-recommendations-list__item .c-card__image{display:none}}.c-card__layout{display:flex;flex:1 1 auto;justify-content:space-between}.c-card__title-recommendation{-webkit-box-orient:vertical;-webkit-line-clamp:4;display:-webkit-box;font-size:1rem;font-weight:700;line-height:1.4;margin:0 0 8px;max-height:5.6em;overflow:hidden!important;text-overflow:ellipsis}.c-card__title-recommendation .c-card__link{color:inherit}.c-card__title-recommendation .c-card__link:hover{text-decoration:underline}.c-card__title-recommendation .MathJax_Display{display:inline!important}.c-card__link:not(.c-card__link--no-block-link):before{z-index:1}.c-article-metrics__heading a,.c-article-metrics__posts .c-card__title a,.c-article-recommendations-card__link{color:inherit}.c-recommendations-column-switch .c-meta{margin-top:auto}.c-article-recommendations-card__meta-type,.c-meta .c-meta__item:first-child{font-weight:700}.c-article-body .c-article-recommendations-card__authors{display:none;font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;font-size:.875rem;line-height:1.5;margin:0 0 8px}@media only screen and (max-width:539px){.c-article-body .c-article-recommendations-card__authors{display:block;margin:0}}.c-article-metrics__posts .c-card__title{font-size:1.05rem}.c-article-metrics__posts .c-card__title+span{color:#6f6f6f;font-size:1rem}p{overflow-wrap:break-word;word-break:break-word}.c-ad{text-align:center}@media only screen and (min-width:320px){.c-ad{padding:8px}}.c-ad--728x90{background-color:#ccc;display:none}.c-ad--728x90 .c-ad__inner{min-height:calc(1.5em + 94px)}@media only screen and (min-width:768px){.js .c-ad--728x90{display:none}}.c-ad__label{color:#333;font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;font-size:.875rem;font-weight:400;line-height:1.5;margin-bottom:4px}.c-author-list{color:#6f6f6f;font-family:inherit;font-size:1rem;line-height:inherit;list-style:none;margin:0;padding:0}.c-author-list>li,.c-breadcrumbs>li,.c-footer__links>li,.js .c-author-list,.u-list-comma-separated>li,.u-list-inline>li{display:inline}.c-author-list>li:not(:first-child):not(:last-child):before{content:", "}.c-author-list>li:not(:only-child):last-child:before{content:" & "}.c-author-list--compact{font-size:.875rem;line-height:1.4}.c-author-list--truncated>li:not(:only-child):last-child:before{content:" ... "}.js .c-author-list__hide{display:none;visibility:hidden}.js .c-author-list__hide:first-child+*{margin-block-start:0}.c-meta{color:inherit;font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;font-size:.875rem;line-height:1.4;list-style:none;margin:0;padding:0}.c-meta--large{font-size:1rem}.c-meta--large .c-meta__item{margin-bottom:8px}.c-meta__item{display:inline-block;margin-bottom:4px}.c-meta__item:not(:last-child){border-right:1px solid #d5d5d5;margin-right:4px;padding-right:4px}@media only screen and (max-width:539px){.c-meta__item--block-sm-max{display:block}.c-meta__item--block-sm-max:not(:last-child){border-right:none;margin-right:0;padding-right:0}}@media only screen and (min-width:1024px){.c-meta__item--block-at-lg{display:block}.c-meta__item--block-at-lg:not(:last-child){border-right:none;margin-right:0;padding-right:0}}.c-meta__type{font-weight:700;text-transform:none}.c-skip-link{background:#069;bottom:auto;color:#fff;font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;font-size:.875rem;padding:8px;position:absolute;text-align:center;transform:translateY(-100%);z-index:9999}@media (prefers-reduced-motion:reduce){.c-skip-link{transition:top .3s ease-in-out 0s}}@media print{.c-skip-link{display:none}}.c-skip-link:link{color:#fff}.c-status-message{align-items:center;box-sizing:border-box;display:flex;font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;font-size:1rem;position:relative;width:100%}.c-card__summary>p:last-child,.c-status-message :last-child{margin-bottom:0}.c-status-message--boxed{background-color:#fff;border:1px solid #eee;border-radius:2px;line-height:1.4;padding:16px}.c-status-message__heading{font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;font-size:1rem;font-weight:700}.c-status-message__icon{fill:currentcolor;display:inline-block;flex:0 0 auto;height:1.5em;margin-right:8px;transform:translate(0);vertical-align:text-top;width:1.5em}.c-status-message__icon--top{align-self:flex-start}.c-status-message--info .c-status-message__icon{color:#003f8d}.c-status-message--boxed.c-status-message--info{border-bottom:4px solid #003f8d}.c-status-message--error .c-status-message__icon{color:#c40606}.c-status-message--boxed.c-status-message--error{border-bottom:4px solid #c40606}.c-status-message--success .c-status-message__icon{color:#00b8b0}.c-status-message--boxed.c-status-message--success{border-bottom:4px solid #00b8b0}.c-status-message--warning .c-status-message__icon{color:#edbc53}.c-status-message--boxed.c-status-message--warning{border-bottom:4px solid #edbc53}.c-breadcrumbs{color:#000;font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;font-size:1rem;list-style:none;margin:0;padding:0}.c-breadcrumbs__link{color:#666}svg.c-breadcrumbs__chevron{fill:#888;height:10px;margin:4px 4px 0;width:10px}@media only screen and (max-width:539px){.c-breadcrumbs .c-breadcrumbs__item{display:none}.c-breadcrumbs .c-breadcrumbs__item:last-child,.c-breadcrumbs .c-breadcrumbs__item:nth-last-child(2){display:inline}}.c-card{background-color:transparent;border:0;box-shadow:none;display:flex;flex-direction:column;font-size:14px;min-width:0;overflow:hidden;padding:0;position:relative}.c-card--no-shape{background:0 0;border:0;box-shadow:none}.c-card__image{display:flex;justify-content:center;overflow:hidden;padding-bottom:56.25%;position:relative}@supports (aspect-ratio:1/1){.c-card__image{padding-bottom:0}}.c-card__image img{left:0;min-height:100%;min-width:100%;position:absolute}@supports ((-o-object-fit:cover) or (object-fit:cover)){.c-card__image img{height:100%;object-fit:cover;width:100%}}.c-card__body{flex:1 1 auto;padding:16px}.c-card--no-shape .c-card__body{padding:0}.c-card--no-shape .c-card__body:not(:first-child){padding-top:16px}.c-card__title{letter-spacing:-.01875rem;margin-bottom:8px;margin-top:0}[lang=de] .c-card__title{hyphens:auto}.c-card__summary{line-height:1.4}.c-card__summary>p{margin-bottom:5px}.c-card__summary a{text-decoration:underline}.c-card__link:not(.c-card__link--no-block-link):before{bottom:0;content:"";left:0;position:absolute;right:0;top:0}.c-card--flush .c-card__body{padding:0}.c-card--major{font-size:1rem}.c-card--dark{background-color:#29303c;border-width:0;color:#e3e4e5}.c-card--dark .c-card__title{color:#fff}.c-card--dark .c-card__link,.c-card--dark .c-card__summary a{color:inherit}.c-header{background-color:#fff;border-bottom:5px solid #000;font-size:1rem;line-height:1.4;margin-bottom:16px}.c-header__row{padding:0;position:relative}.c-header__row:not(:last-child){border-bottom:1px solid #eee}.c-header__split{align-items:center;display:flex;justify-content:space-between}.c-header__logo-container{flex:1 1 0px;line-height:0;margin:8px 24px 8px 0}.c-header__logo{transform:translateZ(0)}.c-header__logo img{max-height:32px}.c-header__container{margin:0 auto;max-width:1280px}.c-header__menu{align-items:center;display:flex;flex:0 1 auto;flex-wrap:wrap;font-weight:700;gap:8px 8px;line-height:1.4;list-style:none;margin:0 -8px;padding:0}@media print{.c-header__menu{display:none}}@media only screen and (max-width:1023px){.c-header__menu--hide-lg-max{display:none;visibility:hidden}}.c-header__menu--global{font-weight:400;justify-content:flex-end}.c-header__menu--global svg{display:none;visibility:hidden}.c-header__menu--global svg:first-child+*{margin-block-start:0}@media only screen and (min-width:540px){.c-header__menu--global svg{display:block;visibility:visible}}.c-header__menu--journal{font-size:.875rem;margin:8px 0 8px -8px}@media only screen and (min-width:540px){.c-header__menu--journal{flex-wrap:nowrap;font-size:1rem}}.c-header__item{padding-bottom:0;padding-top:0;position:static}.c-header__item--pipe{border-left:2px solid #eee;padding-left:8px}.c-header__item--padding{padding-bottom:8px;padding-top:8px}@media only screen and (min-width:540px){.c-header__item--dropdown-menu{position:relative}}@media only screen and (min-width:1024px){.c-header__item--hide-lg{display:none;visibility:hidden}}@media only screen and (max-width:767px){.c-header__item--hide-md-max{display:none;visibility:hidden}.c-header__item--hide-md-max:first-child+*{margin-block-start:0}}.c-header__link{align-items:center;color:inherit;display:inline-flex;gap:4px 4px;padding:8px;white-space:nowrap}.c-header__link svg{transition-duration:.2s}.c-header__show-text{display:none;visibility:hidden}.has-tethered .c-header__heading--js-hide:first-child+*{margin-block-start:0}@media only screen and (min-width:540px){.c-header__show-text{display:inline;visibility:visible}}.c-header__dropdown{background-color:#000;border-bottom:1px solid #2f2f2f;color:#eee;font-size:.875rem;line-height:1.2;padding:16px 0}@media print{.c-header__dropdown{display:none}}.c-header__heading{display:inline-block;font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;font-size:1.25rem;font-weight:400;line-height:1.4;margin-bottom:8px}.c-header__heading--keyline{border-top:1px solid;border-color:#2f2f2f;margin-top:16px;padding-top:16px;width:100%}.c-header__list{display:flex;flex-wrap:wrap;gap:0 16px;list-style:none;margin:0 -8px}.c-header__flush{margin:0 -8px}.c-header__visually-hidden{clip:rect(0,0,0,0);border:0;height:1px;margin:-100%;overflow:hidden;padding:0;position:absolute!important;width:1px}.c-header__search-form{margin-bottom:8px}.c-header__search-layout{display:flex;flex-wrap:wrap;gap:16px 16px}.c-header__search-layout>:first-child{flex:999 1 auto}.c-header__search-layout>*{flex:1 1 auto}.c-header__search-layout--max-width{max-width:720px}.c-header__search-button{align-items:center;background-color:transparent;background-image:none;border:1px solid #fff;border-radius:2px;color:#fff;cursor:pointer;display:flex;font-family:sans-serif;font-size:1rem;justify-content:center;line-height:1.15;margin:0;padding:8px 16px;position:relative;text-decoration:none;transition:all .25s ease 0s,color .25s ease 0s,border-color .25s ease 0s;width:100%}.u-button svg,.u-button--primary svg{fill:currentcolor}.c-header__input,.c-header__select{border:1px solid;border-radius:3px;box-sizing:border-box;font-size:1rem;padding:8px 16px;width:100%}.c-header__select{-webkit-appearance:none;background-image:url("data:image/svg+xml,%3Csvg height='16' viewBox='0 0 16 16' width='16' xmlns='http://www.w3.org/2000/svg'%3E%3Cpath d='m5.58578644 3-3.29289322-3.29289322c-.39052429-.39052429-.39052429-1.02368927 0-1.41421356s1.02368927-.39052429 1.41421356 0l4 4c.39052429.39052429.39052429 1.02368927 0 1.41421356l-4 4c-.39052429.39052429-1.02368927.39052429-1.41421356 0s-.39052429-1.02368927 0-1.41421356z' fill='%23333' fill-rule='evenodd' transform='matrix(0 1 -1 0 11 3)'/%3E%3C/svg%3E");background-position:right .7em top 50%;background-repeat:no-repeat;background-size:1em;box-shadow:0 1px 0 1px rgba(0,0,0,.04);display:block;margin:0;max-width:100%;min-width:150px}@media only screen and (min-width:540px){.c-header__menu--journal .c-header__item--dropdown-menu:last-child .c-header__dropdown.has-tethered{left:auto;right:0}}@media only screen and (min-width:768px){.c-header__menu--journal .c-header__item--dropdown-menu:last-child .c-header__dropdown.has-tethered{left:0;right:auto}}.c-header__dropdown.has-tethered{border-bottom:0;border-radius:0 0 2px 2px;left:0;position:absolute;top:100%;transform:translateY(5px);width:100%;z-index:1}@media only screen and (min-width:540px){.c-header__dropdown.has-tethered{transform:translateY(8px);width:auto}}@media only screen and (min-width:768px){.c-header__dropdown.has-tethered{min-width:225px}}.c-header__dropdown--full-width.has-tethered{padding:32px 0 24px;transform:none;width:100%}.has-tethered .c-header__heading--js-hide{display:none;visibility:hidden}.has-tethered .c-header__list--js-stack{flex-direction:column}.has-tethered .c-header__item--keyline,.has-tethered .c-header__list~.c-header__list .c-header__item:first-child{border-top:1px solid #d5d5d5;margin-top:8px;padding-top:8px}.c-header__item--snid-account-widget{display:flex}.c-header__container{padding:0 4px}.c-header__list{padding:0 12px}.c-header__menu .c-header__link{font-size:14px}.c-header__item--snid-account-widget .c-header__link{padding:8px}.c-header__menu--journal{margin-left:0}@media only screen and (min-width:540px){.c-header__container{padding:0 16px}.c-header__menu--journal{margin-left:-8px}.c-header__menu .c-header__link{font-size:16px}.c-header__link--search{gap:13px 13px}}.u-button{align-items:center;background-color:transparent;background-image:none;border:1px solid #069;border-radius:2px;color:#069;cursor:pointer;display:inline-flex;font-family:sans-serif;font-size:1rem;justify-content:center;line-height:1.3;margin:0;padding:8px;position:relative;text-decoration:none;transition:all .25s ease 0s,color .25s ease 0s,border-color .25s ease 0s;width:auto}.u-button--primary{background-color:#069;background-image:none;border:1px solid #069;color:#fff}.u-button--full-width{display:flex;width:100%}.u-display-none{display:none}.js .u-js-hide,.u-hide{display:none;visibility:hidden}.u-hide:first-child+*{margin-block-start:0}.u-visually-hidden{clip:rect(0,0,0,0);border:0;height:1px;margin:-100%;overflow:hidden;padding:0;position:absolute!important;width:1px}@media print{.u-hide-print{display:none}}@media only screen and (min-width:1024px){.u-hide-at-lg{display:none;visibility:hidden}.u-hide-at-lg:first-child+*{margin-block-start:0}}.u-clearfix:after,.u-clearfix:before{content:"";display:table}.u-clearfix:after{clear:both}.u-color-open-access{color:#b74616}.u-float-left{float:left}.u-icon{fill:currentcolor;display:inline-block;height:1em;transform:translate(0);vertical-align:text-top;width:1em}.u-full-height{height:100%}.u-list-reset{list-style:none;margin:0;padding:0}.u-sans-serif{font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif}.u-container{margin:0 auto;max-width:1280px;padding:0 16px}.u-justify-content-space-between{justify-content:space-between}.u-mt-32{margin-top:32px}.u-mb-8{margin-bottom:8px}.u-mb-16{margin-bottom:16px}.u-mb-24{margin-bottom:24px}.u-mb-32{margin-bottom:32px}.c-nature-box svg+.c-article__button-text,.u-ml-8{margin-left:8px}.u-pa-16{padding:16px}html *,html :after,html :before{box-sizing:inherit}.c-article-section__title,.c-article-title{font-weight:700}.c-card__title{line-height:1.4em}.c-article__button{background-color:#069;border:1px solid #069;border-radius:2px;color:#fff;display:flex;font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;font-size:.875rem;line-height:1.4;margin-bottom:16px;padding:13px;transition:background-color .2s ease-out 0s,color .2s ease-out 0s}.c-article__button,.c-article__button:hover{text-decoration:none}.c-article__button--inverted,.c-article__button:hover{background-color:#fff;color:#069}.c-article__button--inverted:hover{background-color:#069;color:#fff}.c-header__link{text-decoration:inherit}.grade-c-hide{display:block}.u-lazy-ad-wrapper{background-color:#ccc;display:none;min-height:137px}@media only screen and (min-width:768px){.u-lazy-ad-wrapper{display:block}}.c-nature-box{background-color:#fff;border:1px solid #d5d5d5;border-radius:2px;box-shadow:0 0 5px 0 rgba(51,51,51,.1);line-height:1.3;margin-bottom:24px;padding:16px 16px 3px}.c-nature-box__text{font-size:1rem;margin-bottom:16px}.c-nature-box .c-pdf-download{margin-bottom:16px!important}.c-nature-box--version{background-color:#eee}.c-nature-box__wrapper{transform:translateZ(0)}.c-nature-box__wrapper--placeholder{min-height:165px}.c-pdf-download__link{padding:13px 24px} } </style> <link data-test="critical-css-handler" data-inline-css-source="critical-css" rel="stylesheet" href="/static/css/enhanced-article-nature-branded-d54f9178e8.css" media="print" onload="this.media='only print, only all and (prefers-color-scheme: no-preference), only all and (prefers-color-scheme: light), only all and (prefers-color-scheme: dark)';this.onload=null"> <noscript> <link rel="stylesheet" type="text/css" href="/static/css/enhanced-article-nature-branded-d54f9178e8.css" media="only print, only all and (prefers-color-scheme: no-preference), only all and (prefers-color-scheme: light), only all and (prefers-color-scheme: dark)"> </noscript> <link rel="stylesheet" type="text/css" href="/static/css/article-print-122346e276.css" media="print"> <link rel="apple-touch-icon" sizes="180x180" href=/static/images/favicons/nature/apple-touch-icon-f39cb19454.png> <link rel="icon" type="image/png" sizes="48x48" href=/static/images/favicons/nature/favicon-48x48-b52890008c.png> <link rel="icon" type="image/png" sizes="32x32" href=/static/images/favicons/nature/favicon-32x32-3fe59ece92.png> <link rel="icon" type="image/png" sizes="16x16" href=/static/images/favicons/nature/favicon-16x16-951651ab72.png> <link rel="manifest" href=/static/manifest.json crossorigin="use-credentials"> <link rel="mask-icon" href=/static/images/favicons/nature/safari-pinned-tab-69bff48fe6.svg color="#000000"> <link rel="shortcut icon" href=/static/images/favicons/nature/favicon.ico> <meta name="msapplication-TileColor" content="#000000"> <meta name="msapplication-config" content=/static/browserconfig.xml> <meta name="theme-color" content="#000000"> <meta name="application-name" content="Nature"> <script> (function () { if ( typeof window.CustomEvent === "function" ) return false; function CustomEvent ( event, params ) { params = params || { bubbles: false, cancelable: false, detail: null }; var evt = document.createEvent( 'CustomEvent' ); evt.initCustomEvent( event, params.bubbles, params.cancelable, params.detail ); return evt; } CustomEvent.prototype = window.Event.prototype; window.CustomEvent = CustomEvent; })(); </script>  <script data-test="gtm-head"> window.initGTM = function() { if (window.config.mustardcut) { (function (w, d, s, l, i) { w[l] = w[l] || []; w[l].push({'gtm.start': new Date().getTime(), event: 'gtm.js'}); var f = d.getElementsByTagName(s)[0], j = d.createElement(s), dl = l != 'dataLayer' ? '&l=' + l : ''; j.async = true; j.src = 'https://www.googletagmanager.com/gtm.js?id=' + i + dl; f.parentNode.insertBefore(j, f); })(window, document, 'script', 'dataLayer', 'GTM-MRVXSHQ'); } } </script>  <script> (function(w,d,t) { function cc() { var h = w.location.hostname; if (h.indexOf('preview-www.nature.com') > -1) return; var e = d.createElement(t), s = d.getElementsByTagName(t)[0]; if (h.indexOf('nature.com') > -1) { if (h.indexOf('test-www.nature.com') > -1) { e.src = 'https://cmp.nature.com/production_live/en/consent-bundle-8-74.js'; e.setAttribute('onload', "initGTM(window,document,'script','dataLayer','GTM-MRVXSHQ')"); } else { e.src = 'https://cmp.nature.com/production_live/en/consent-bundle-8-74.js'; e.setAttribute('onload', "initGTM(window,document,'script','dataLayer','GTM-MRVXSHQ')"); } } else { e.src = '/static/js/cookie-consent-es5-bundle-cb57c2c98a.js'; e.setAttribute('data-consent', h); } s.insertAdjacentElement('afterend', e); } cc(); })(window,document,'script'); </script> <script id="js-position0"> (function(w, d) { w.idpVerifyPrefix = 'https://verify.nature.com'; w.ra21Host = 'https://wayf.springernature.com'; var moduleSupport = (function() { return 'noModule' in d.createElement('script'); })(); if (w.config.mustardcut === true) { w.loader = { index: 0, registered: [], scripts: [ {src: '/static/js/global-article-es6-bundle-c8a573ca90.js', test: 'global-article-js', module: true}, {src: '/static/js/global-article-es5-bundle-d17603b9e9.js', test: 'global-article-js', nomodule: true}, {src: '/static/js/shared-es6-bundle-606cb67187.js', test: 'shared-js', module: true}, {src: '/static/js/shared-es5-bundle-e919764a53.js', test: 'shared-js', nomodule: true}, {src: '/static/js/header-150-es6-bundle-5bb959eaa1.js', test: 'header-150-js', module: true}, {src: '/static/js/header-150-es5-bundle-994fde5b1d.js', test: 'header-150-js', nomodule: true} ].filter(function (s) { if (s.src === null) return false; if (moduleSupport && s.nomodule) return false; return !(!moduleSupport && s.module); }), register: function (value) { this.registered.push(value); }, ready: function () { if (this.registered.length === this.scripts.length) { this.registered.forEach(function (fn) { if (typeof fn === 'function') { setTimeout(fn, 0); } }); this.ready = function () {}; } }, insert: function (s) { var t = d.getElementById('js-position' + this.index); if (t && t.insertAdjacentElement) { t.insertAdjacentElement('afterend', s); } else { d.head.appendChild(s); } ++this.index; }, createScript: function (script, beforeLoad) { var s = d.createElement('script'); s.id = 'js-position' + (this.index + 1); s.setAttribute('data-test', script.test); if (beforeLoad) { s.defer = 'defer'; s.onload = function () { if (script.noinit) { loader.register(true); } if (d.readyState === 'interactive' || d.readyState === 'complete') { loader.ready(); } }; } else { s.async = 'async'; } s.src = script.src; return s; }, init: function () { this.scripts.forEach(function (s) { loader.insert(loader.createScript(s, true)); }); d.addEventListener('DOMContentLoaded', function () { loader.ready(); var conditionalScripts; conditionalScripts = [ {match: 'div[data-pan-container]', src: '/static/js/pan-zoom-es6-bundle-464a2af269.js', test: 'pan-zoom-js', module: true }, {match: 'div[data-pan-container]', src: '/static/js/pan-zoom-es5-bundle-98fb9b653b.js', test: 'pan-zoom-js', nomodule: true }, {match: 'math,span.mathjax-tex', src: '/static/js/math-es6-bundle-23597ae350.js', test: 'math-js', module: true}, {match: 'math,span.mathjax-tex', src: '/static/js/math-es5-bundle-6532c6f78b.js', test: 'math-js', nomodule: true} ]; if (conditionalScripts) { conditionalScripts.filter(function (script) { return !!document.querySelector(script.match) && !((moduleSupport && script.nomodule) || (!moduleSupport && script.module)); }).forEach(function (script) { loader.insert(loader.createScript(script)); }); } }, false); } }; loader.init(); } })(window, document); </script> <meta name="robots" content="noarchive"> <meta name="access" content="No"> <link rel="search" href="https://www.nature.com/search"> <link rel="search" href="https://www.nature.com/opensearch/opensearch.xml" type="application/opensearchdescription+xml" title="nature.com"> <link rel="search" href="https://www.nature.com/opensearch/request" type="application/sru+xml" title="nature.com"> <script type="application/ld+json">{"mainEntity":{"headline":"Measured proton electromagnetic structure deviates from theoretical predictions","description":"The visible world is founded on the proton, the only composite building block of matter that is stable in nature. Consequently, understanding the formation of matter relies on explaining the dynamics and the properties of the proton’s bound state. A fundamental property of the proton involves the response of the system to an external electromagnetic field. It is characterized by the electromagnetic polarizabilities1 that describe how easily the charge and magnetization distributions inside the system are distorted by the electromagnetic field. Moreover, the generalized polarizabilities2 map out the resulting deformation of the densities in a proton subject to an electromagnetic field. They disclose essential information about the underlying system dynamics and provide a key for decoding the proton structure in terms of the theory of the strong interaction that binds its elementary quark and gluon constituents. Of particular interest is a puzzle in the electric generalized polarizability of the proton that remains unresolved for two decades2. Here we report measurements of the proton’s electromagnetic generalized polarizabilities at low four-momentum transfer squared. We show evidence of an anomaly to the behaviour of the proton’s electric generalized polarizability that contradicts the predictions of nuclear theory and derive its signature in the spatial distribution of the induced polarization in the proton. The reported measurements suggest the presence of a new, not-yet-understood dynamical mechanism in the proton and present notable challenges to the nuclear theory. Measurements of the proton’s electromagnetic structure show enhancement of its electric generalized polarizability compared with theoretical expectations, confirming the presence of a new dynamical mechanism not accounted for by current theories.","datePublished":"2022-10-19T00:00:00Z","dateModified":"2022-10-19T00:00:00Z","pageStart":"265","pageEnd":"270","sameAs":"https://doi.org/10.1038/s41586-022-05248-1","keywords":["Experimental nuclear physics","Theoretical nuclear physics","Science","Humanities and Social Sciences","multidisciplinary"],"image":["https://media.springernature.com/lw1200/springer-static/image/art%3A10.1038%2Fs41586-022-05248-1/MediaObjects/41586_2022_5248_Fig1_HTML.png","https://media.springernature.com/lw1200/springer-static/image/art%3A10.1038%2Fs41586-022-05248-1/MediaObjects/41586_2022_5248_Fig2_HTML.png","https://media.springernature.com/lw1200/springer-static/image/art%3A10.1038%2Fs41586-022-05248-1/MediaObjects/41586_2022_5248_Fig3_HTML.png","https://media.springernature.com/lw1200/springer-static/image/art%3A10.1038%2Fs41586-022-05248-1/MediaObjects/41586_2022_5248_Fig4_HTML.png"],"isPartOf":{"name":"Nature","issn":["1476-4687","0028-0836"],"volumeNumber":"611","@type":["Periodical","PublicationVolume"]},"publisher":{"name":"Nature Publishing Group UK","logo":{"url":"https://www.springernature.com/app-sn/public/images/logo-springernature.png","@type":"ImageObject"},"@type":"Organization"},"author":[{"name":"R. Li","affiliation":[{"name":"Temple University","address":{"name":"Temple University, Philadelphia, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"N. Sparveris","url":"http://orcid.org/0000-0002-6278-1178","affiliation":[{"name":"Temple University","address":{"name":"Temple University, Philadelphia, USA","@type":"PostalAddress"},"@type":"Organization"}],"email":"sparveri@temple.edu","@type":"Person"},{"name":"H. Atac","url":"http://orcid.org/0000-0002-8945-5305","affiliation":[{"name":"Temple University","address":{"name":"Temple University, Philadelphia, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"M. K. Jones","affiliation":[{"name":"Thomas Jefferson National Accelerator Facility","address":{"name":"Thomas Jefferson National Accelerator Facility, Newport News, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"M. Paolone","url":"http://orcid.org/0000-0002-8980-6670","affiliation":[{"name":"New Mexico State University","address":{"name":"New Mexico State University, Las Cruces, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"Z. Akbar","affiliation":[{"name":"University of Virginia","address":{"name":"University of Virginia, Charlottesville, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"C. Ayerbe Gayoso","url":"http://orcid.org/0000-0001-8640-5380","affiliation":[{"name":"The College of William and Mary","address":{"name":"The College of William and Mary, Williamsburg, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"V. Berdnikov","affiliation":[{"name":"Catholic University of America","address":{"name":"Catholic University of America, Washington, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"D. Biswas","affiliation":[{"name":"Hampton University","address":{"name":"Hampton University, Hampton, USA","@type":"PostalAddress"},"@type":"Organization"},{"name":"Virginia Polytechnic Institute & State University","address":{"name":"Virginia Polytechnic Institute & State University, Blacksburg, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"M. Boer","affiliation":[{"name":"Temple University","address":{"name":"Temple University, Philadelphia, USA","@type":"PostalAddress"},"@type":"Organization"},{"name":"Virginia Polytechnic Institute & State University","address":{"name":"Virginia Polytechnic Institute & State University, Blacksburg, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"A. Camsonne","affiliation":[{"name":"Thomas Jefferson National Accelerator Facility","address":{"name":"Thomas Jefferson National Accelerator Facility, Newport News, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"J.-P. Chen","affiliation":[{"name":"Thomas Jefferson National Accelerator Facility","address":{"name":"Thomas Jefferson National Accelerator Facility, Newport News, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"M. Diefenthaler","url":"http://orcid.org/0000-0002-4717-4484","affiliation":[{"name":"Thomas Jefferson National Accelerator Facility","address":{"name":"Thomas Jefferson National Accelerator Facility, Newport News, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"B. Duran","affiliation":[{"name":"Temple University","address":{"name":"Temple University, Philadelphia, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"D. Dutta","affiliation":[{"name":"Mississippi State University","address":{"name":"Mississippi State University, Mississippi State, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"D. Gaskell","affiliation":[{"name":"Thomas Jefferson National Accelerator Facility","address":{"name":"Thomas Jefferson National Accelerator Facility, Newport News, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"O. Hansen","url":"http://orcid.org/0000-0002-7908-3886","affiliation":[{"name":"Thomas Jefferson National Accelerator Facility","address":{"name":"Thomas Jefferson National Accelerator Facility, Newport News, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"F. Hauenstein","affiliation":[{"name":"Old Dominion University","address":{"name":"Old Dominion University, Norfolk, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"N. Heinrich","affiliation":[{"name":"University of Regina","address":{"name":"University of Regina, Regina, Canada","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"W. Henry","affiliation":[{"name":"Thomas Jefferson National Accelerator Facility","address":{"name":"Thomas Jefferson National Accelerator Facility, Newport News, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"T. Horn","affiliation":[{"name":"Catholic University of America","address":{"name":"Catholic University of America, Washington, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"G. M. Huber","affiliation":[{"name":"University of Regina","address":{"name":"University of Regina, Regina, Canada","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"S. Jia","affiliation":[{"name":"Temple University","address":{"name":"Temple University, Philadelphia, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"S. Joosten","url":"http://orcid.org/0000-0003-4947-877X","affiliation":[{"name":"Argonne National Laboratory","address":{"name":"Argonne National Laboratory, Lemont, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"A. Karki","affiliation":[{"name":"Mississippi State University","address":{"name":"Mississippi State University, Mississippi State, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"S. J. D. Kay","affiliation":[{"name":"University of Regina","address":{"name":"University of Regina, Regina, Canada","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"V. Kumar","affiliation":[{"name":"University of Regina","address":{"name":"University of Regina, Regina, Canada","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"X. Li","affiliation":[{"name":"Duke University","address":{"name":"Duke University, Durham, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"W. B. Li","affiliation":[{"name":"The College of William and Mary","address":{"name":"The College of William and Mary, Williamsburg, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"A. H. Liyanage","affiliation":[{"name":"Hampton University","address":{"name":"Hampton University, Hampton, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"S. Malace","affiliation":[{"name":"Thomas Jefferson National Accelerator Facility","address":{"name":"Thomas Jefferson National Accelerator Facility, Newport News, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"P. Markowitz","affiliation":[{"name":"Florida International University","address":{"name":"Florida International University, University Park, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"M. McCaughan","affiliation":[{"name":"Thomas Jefferson National Accelerator Facility","address":{"name":"Thomas Jefferson National Accelerator Facility, Newport News, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"Z.-E. Meziani","url":"http://orcid.org/0000-0001-9450-2914","affiliation":[{"name":"Argonne National Laboratory","address":{"name":"Argonne National Laboratory, Lemont, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"H. Mkrtchyan","affiliation":[{"name":"Artem Alikhanian National Laboratory","address":{"name":"Artem Alikhanian National Laboratory, Yerevan, Armenia","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"C. Morean","affiliation":[{"name":"University of Tennessee","address":{"name":"University of Tennessee, Knoxville, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"M. Muhoza","affiliation":[{"name":"Catholic University of America","address":{"name":"Catholic University of America, Washington, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"A. Narayan","affiliation":[{"name":"Veer Kunwar Singh University","address":{"name":"Veer Kunwar Singh University, Arrah, India","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"B. Pasquini","affiliation":[{"name":"University of Pavia","address":{"name":"University of Pavia, Pavia, Italy","@type":"PostalAddress"},"@type":"Organization"},{"name":"Istituto Nazionale di Fisica Nucleare (INFN)","address":{"name":"Istituto Nazionale di Fisica Nucleare (INFN), Pavia, Italy","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"M. Rehfuss","affiliation":[{"name":"Temple University","address":{"name":"Temple University, Philadelphia, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"B. Sawatzky","url":"http://orcid.org/0000-0002-5637-0348","affiliation":[{"name":"Thomas Jefferson National Accelerator Facility","address":{"name":"Thomas Jefferson National Accelerator Facility, Newport News, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"G. R. Smith","url":"http://orcid.org/0000-0002-1755-809X","affiliation":[{"name":"Thomas Jefferson National Accelerator Facility","address":{"name":"Thomas Jefferson National Accelerator Facility, Newport News, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"A. Smith","affiliation":[{"name":"Duke University","address":{"name":"Duke University, Durham, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"R. Trotta","affiliation":[{"name":"Catholic University of America","address":{"name":"Catholic University of America, Washington, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"C. Yero","affiliation":[{"name":"Florida International University","address":{"name":"Florida International University, University Park, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"X. Zheng","url":"http://orcid.org/0000-0001-7300-2929","affiliation":[{"name":"University of Virginia","address":{"name":"University of Virginia, Charlottesville, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"J. Zhou","affiliation":[{"name":"Duke University","address":{"name":"Duke University, Durham, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"}],"isAccessibleForFree":false,"hasPart":{"isAccessibleForFree":false,"cssSelector":".main-content","@type":"WebPageElement"},"@type":"ScholarlyArticle"},"@context":"https://schema.org","@type":"WebPage"}</script> <link rel="canonical" href="https://www.nature.com/articles/s41586-022-05248-1"> <meta name="journal_id" content="41586"/> <meta name="dc.title" content="Measured proton electromagnetic structure deviates from theoretical predictions"/> <meta name="dc.source" content="Nature 2022 611:7935"/> <meta name="dc.format" content="text/html"/> <meta name="dc.publisher" content="Nature Publishing Group"/> <meta name="dc.date" content="2022-10-19"/> <meta name="dc.type" content="OriginalPaper"/> <meta name="dc.language" content="En"/> <meta name="dc.copyright" content="2022 The Author(s), under exclusive licence to Springer Nature Limited"/> <meta name="dc.rights" content="2022 The Author(s), under exclusive licence to Springer Nature Limited"/> <meta name="dc.rightsAgent" content="journalpermissions@springernature.com"/> <meta name="dc.description" content="The visible world is founded on the proton, the only composite building block of matter that is stable in nature. Consequently, understanding the formation of matter relies on explaining the dynamics and the properties of the proton’s bound state. A fundamental property of the proton involves the response of the system to an external electromagnetic field. It is characterized by the electromagnetic polarizabilities1 that describe how easily the charge and magnetization distributions inside the system are distorted by the electromagnetic field. Moreover, the generalized polarizabilities2 map out the resulting deformation of the densities in a proton subject to an electromagnetic field. They disclose essential information about the underlying system dynamics and provide a key for decoding the proton structure in terms of the theory of the strong interaction that binds its elementary quark and gluon constituents. Of particular interest is a puzzle in the electric generalized polarizability of the proton that remains unresolved for two decades2. Here we report measurements of the proton’s electromagnetic generalized polarizabilities at low four-momentum transfer squared. We show evidence of an anomaly to the behaviour of the proton’s electric generalized polarizability that contradicts the predictions of nuclear theory and derive its signature in the spatial distribution of the induced polarization in the proton. The reported measurements suggest the presence of a new, not-yet-understood dynamical mechanism in the proton and present notable challenges to the nuclear theory. Measurements of the proton’s electromagnetic structure show enhancement of its electric generalized polarizability compared with theoretical expectations, confirming the presence of a new dynamical mechanism not accounted for by current theories."/> <meta name="prism.issn" content="1476-4687"/> <meta name="prism.publicationName" content="Nature"/> <meta name="prism.publicationDate" content="2022-10-19"/> <meta name="prism.volume" content="611"/> <meta name="prism.number" content="7935"/> <meta name="prism.section" content="OriginalPaper"/> <meta name="prism.startingPage" content="265"/> <meta name="prism.endingPage" content="270"/> <meta name="prism.copyright" content="2022 The Author(s), under exclusive licence to Springer Nature Limited"/> <meta name="prism.rightsAgent" content="journalpermissions@springernature.com"/> <meta name="prism.url" content="https://www.nature.com/articles/s41586-022-05248-1"/> <meta name="prism.doi" content="doi:10.1038/s41586-022-05248-1"/> <meta name="citation_pdf_url" content="https://www.nature.com/articles/s41586-022-05248-1.pdf"/> <meta name="citation_fulltext_html_url" content="https://www.nature.com/articles/s41586-022-05248-1"/> <meta name="citation_journal_title" content="Nature"/> <meta name="citation_journal_abbrev" content="Nature"/> <meta name="citation_publisher" content="Nature Publishing Group"/> <meta name="citation_issn" content="1476-4687"/> <meta name="citation_title" content="Measured proton electromagnetic structure deviates from theoretical predictions"/> <meta name="citation_volume" content="611"/> <meta name="citation_issue" content="7935"/> <meta name="citation_publication_date" content="2022/11"/> <meta name="citation_online_date" content="2022/10/19"/> <meta name="citation_firstpage" content="265"/> <meta name="citation_lastpage" content="270"/> <meta name="citation_article_type" content="Article"/> <meta name="citation_language" content="en"/> <meta name="dc.identifier" content="doi:10.1038/s41586-022-05248-1"/> <meta name="DOI" content="10.1038/s41586-022-05248-1"/> <meta name="size" content="290151"/> <meta name="citation_doi" content="10.1038/s41586-022-05248-1"/> <meta name="citation_springer_api_url" content="http://api.springer.com/xmldata/jats?q=doi:10.1038/s41586-022-05248-1&api_key="/> <meta name="description" content="The visible world is founded on the proton, the only composite building block of matter that is stable in nature. Consequently, understanding the formation of matter relies on explaining the dynamics and the properties of the proton’s bound state. A fundamental property of the proton involves the response of the system to an external electromagnetic field. It is characterized by the electromagnetic polarizabilities1 that describe how easily the charge and magnetization distributions inside the system are distorted by the electromagnetic field. Moreover, the generalized polarizabilities2 map out the resulting deformation of the densities in a proton subject to an electromagnetic field. They disclose essential information about the underlying system dynamics and provide a key for decoding the proton structure in terms of the theory of the strong interaction that binds its elementary quark and gluon constituents. Of particular interest is a puzzle in the electric generalized polarizability of the proton that remains unresolved for two decades2. Here we report measurements of the proton’s electromagnetic generalized polarizabilities at low four-momentum transfer squared. We show evidence of an anomaly to the behaviour of the proton’s electric generalized polarizability that contradicts the predictions of nuclear theory and derive its signature in the spatial distribution of the induced polarization in the proton. The reported measurements suggest the presence of a new, not-yet-understood dynamical mechanism in the proton and present notable challenges to the nuclear theory. Measurements of the proton’s electromagnetic structure show enhancement of its electric generalized polarizability compared with theoretical expectations, confirming the presence of a new dynamical mechanism not accounted for by current theories."/> <meta name="dc.creator" content="Li, R."/> <meta name="dc.creator" content="Sparveris, N."/> <meta name="dc.creator" content="Atac, H."/> <meta name="dc.creator" content="Jones, M. K."/> <meta name="dc.creator" content="Paolone, M."/> <meta name="dc.creator" content="Akbar, Z."/> <meta name="dc.creator" content="Gayoso, C. Ayerbe"/> <meta name="dc.creator" content="Berdnikov, V."/> <meta name="dc.creator" content="Biswas, D."/> <meta name="dc.creator" content="Boer, M."/> <meta name="dc.creator" content="Camsonne, A."/> <meta name="dc.creator" content="Chen, J.-P."/> <meta name="dc.creator" content="Diefenthaler, M."/> <meta name="dc.creator" content="Duran, B."/> <meta name="dc.creator" content="Dutta, D."/> <meta name="dc.creator" content="Gaskell, D."/> <meta name="dc.creator" content="Hansen, O."/> <meta name="dc.creator" content="Hauenstein, F."/> <meta name="dc.creator" content="Heinrich, N."/> <meta name="dc.creator" content="Henry, W."/> <meta name="dc.creator" content="Horn, T."/> <meta name="dc.creator" content="Huber, G. M."/> <meta name="dc.creator" content="Jia, S."/> <meta name="dc.creator" content="Joosten, S."/> <meta name="dc.creator" content="Karki, A."/> <meta name="dc.creator" content="Kay, S. J. D."/> <meta name="dc.creator" content="Kumar, V."/> <meta name="dc.creator" content="Li, X."/> <meta name="dc.creator" content="Li, W. B."/> <meta name="dc.creator" content="Liyanage, A. H."/> <meta name="dc.creator" content="Malace, S."/> <meta name="dc.creator" content="Markowitz, P."/> <meta name="dc.creator" content="McCaughan, M."/> <meta name="dc.creator" content="Meziani, Z.-E."/> <meta name="dc.creator" content="Mkrtchyan, H."/> <meta name="dc.creator" content="Morean, C."/> <meta name="dc.creator" content="Muhoza, M."/> <meta name="dc.creator" content="Narayan, A."/> <meta name="dc.creator" content="Pasquini, B."/> <meta name="dc.creator" content="Rehfuss, M."/> <meta name="dc.creator" content="Sawatzky, B."/> <meta name="dc.creator" content="Smith, G. R."/> <meta name="dc.creator" content="Smith, A."/> <meta name="dc.creator" content="Trotta, R."/> <meta name="dc.creator" content="Yero, C."/> <meta name="dc.creator" content="Zheng, X."/> <meta name="dc.creator" content="Zhou, J."/> <meta name="dc.subject" content="Experimental nuclear physics"/> <meta name="dc.subject" content="Theoretical nuclear physics"/> <meta name="citation_reference" content="citation_journal_title=Prog. Theor. Exp. Phys.; citation_title=Review of particle physics; citation_author=PA Zyla; citation_volume=2020; citation_publication_date=2020; citation_pages=083C01; citation_doi=10.1093/ptep/ptaa104; citation_id=CR1"/> <meta name="citation_reference" content="citation_journal_title=Prog. Part. Nucl. Phys.; citation_title=Virtual Compton scattering and nucleon generalized polarizabilities; citation_author=H Fonvieille, B Pasquini, N Sparveris; citation_volume=113; citation_publication_date=2020; citation_pages=103754; citation_doi=10.1016/j.ppnp.2020.103754; citation_id=CR2"/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. D; citation_title=Confinement of quarks; citation_author=KG Wilson; citation_volume=10; citation_publication_date=1974; citation_pages=2445; citation_doi=10.1103/PhysRevD.10.2445; citation_id=CR3"/> <meta name="citation_reference" content="citation_journal_title=Phys. Lett. B; citation_title=Nuclear forces from chiral lagrangians; citation_author=S Weinberg; citation_volume=251; citation_publication_date=1990; citation_pages=288-292; citation_doi=10.1016/0370-2693(90)90938-3; citation_id=CR4"/> <meta name="citation_reference" content="citation_journal_title=Nucl. Phys. B; citation_title=Effective chiral lagrangians for nucleon-pion interactions and nuclear forces; citation_author=S Weinberg; citation_volume=363; citation_publication_date=1991; citation_pages=3-18; citation_doi=10.1016/0550-3213(91)90231-L; citation_id=CR5"/> <meta name="citation_reference" content="citation_journal_title=Phys. Lett. B; citation_title=Three-body interactions among nucleons and pions; citation_author=S Weinberg; citation_volume=295; citation_publication_date=1992; citation_pages=114-121; citation_doi=10.1016/0370-2693(92)90099-P; citation_id=CR6"/> <meta name="citation_reference" content="citation_journal_title=Annu. Rev. Nucl. Part. Sci.; citation_title=Dispersion theory in electromagnetic interactions; citation_author=B Pasquini, M Vanderhaeghen; citation_volume=68; citation_publication_date=2018; citation_pages=75-103; citation_doi=10.1146/annurev-nucl-101917-020843; citation_id=CR7"/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. Lett.; citation_title=First determination of generalized polarizabilities of the proton by a virtual Compton scattering experiment; citation_author=J Roche; citation_volume=85; citation_publication_date=2000; citation_pages=708-711; citation_doi=10.1103/PhysRevLett.85.708; citation_id=CR8"/> <meta name="citation_reference" content="citation_journal_title=Eur. Phys. J.; citation_title=A new measurement of the structure functions PLL - PTT/ε and PLT in virtual Compton scattering at Q2 = 0.33 (GeV/c)2; citation_author=P Janssens; citation_volume=A37; citation_publication_date=2008; citation_pages=1-8; citation_doi=10.1140/epja/i2008-10609-3; citation_id=CR9"/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. Lett.; citation_title=New insight in the Q2 dependence of proton generalized polarizabilities; citation_author=J Beričič; citation_volume=123; citation_publication_date=2019; citation_pages=192302; citation_doi=10.1103/PhysRevLett.123.192302; citation_id=CR10"/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. C; citation_title=Measurement of the generalized polarizabilities of the proton at intermediate Q2; citation_author=H Fonvieille; citation_volume=103; citation_publication_date=2021; citation_pages=025205; citation_doi=10.1103/PhysRevC.103.025205; citation_id=CR11"/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. Lett.; citation_title=Measurement of the generalized polarizabilities of the proton in virtual Compton scattering at Q2 = 0.92 and 1.76 GeV2; citation_author=G Laveissiere; citation_volume=93; citation_publication_date=2004; citation_pages=122001; citation_doi=10.1103/PhysRevLett.93.122001; citation_id=CR12"/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. C; citation_title=Virtual Compton scattering and the generalized polarizabilities of the proton at Q2 = 0.92 and 1.76 GeV2; citation_author=H Fonvieille; citation_volume=86; citation_publication_date=2012; citation_pages=015210; citation_doi=10.1103/PhysRevC.86.015210; citation_id=CR13"/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. C; citation_title=Dispersion relation formalism for virtual Compton scattering and the generalized polarizabilities of the nucleon; citation_author=B Pasquini, D Drechsel, M Gorchtein, A Metz, M Vanderhaeghen; citation_volume=62; citation_publication_date=2000; citation_pages=052201(R); citation_doi=10.1103/PhysRevC.62.052201; citation_id=CR14"/> <meta name="citation_reference" content="citation_journal_title=Eur. Phys. J. A; citation_title=Dispersion relation formalism for virtual Compton scattering off the proton; citation_author=B Pasquini, M Gorchtein, D Drechsel, A Metz, M Vanderhaeghen; citation_volume=11; citation_publication_date=2001; citation_pages=185-208; citation_doi=10.1007/s100500170084; citation_id=CR15"/> <meta name="citation_reference" content="citation_journal_title=Phys. Rep.; citation_title=Dispersion relations in real and virtual Compton scattering; citation_author=D Drechsel, B Pasquini, M Vanderhaeghen; citation_volume=378; citation_publication_date=2003; citation_pages=99-205; citation_doi=10.1016/S0370-1573(02)00636-1; citation_id=CR16"/> <meta name="citation_reference" content="citation_journal_title=Eur. Phys. J. C; citation_title=Generalized polarizabilities of the nucleon in baryon chiral perturbation theory; citation_author=V Lensky, V Pascalutsa, M Vanderhaeghen; citation_volume=77; citation_publication_date=2017; citation_doi=10.1140/epjc/s10052-017-4652-9; citation_id=CR17"/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. D; citation_title=Virtual Compton scattering off the nucleon in chiral perturbation theory; citation_author=TR Hemmert, B Holstein, G Knochlein, S Scherer; citation_volume=55; citation_publication_date=1997; citation_pages=2630; citation_doi=10.1103/PhysRevD.55.2630; citation_id=CR18"/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. Lett.; citation_title=Generalized polarizabilities and the chiral structure of the nucleon; citation_author=TR Hemmert, B Holstein, G Knochlein, S Scherer; citation_volume=79; citation_publication_date=1997; citation_pages=22; citation_doi=10.1103/PhysRevLett.79.22; citation_id=CR19"/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. D; citation_title=Generalized polarizabilities of the nucleon in chiral effective theories; citation_author=TR Hemmert, B Holstein, G Knochlein, D Drechsel; citation_volume=62; citation_publication_date=2000; citation_pages=014013; citation_doi=10.1103/PhysRevD.62.014013; citation_id=CR20"/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. Lett.; citation_title=Generalized spin polarizabilities of the nucleon in heavy baryon chiral perturbation theory at next-to-leading order; citation_author=CW Kao, M Vanderhaeghen; citation_volume=89; citation_publication_date=2002; citation_pages=272002; citation_doi=10.1103/PhysRevLett.89.272002; citation_id=CR21"/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. D; citation_title=New predictions for generalized spin polarizabilities from heavy baryon chiral perturbation theory; citation_author=CW Kao, B Pasquini, M Vanderhaeghen; citation_volume=92; citation_publication_date=2015; citation_pages=119906; citation_doi=10.1103/PhysRevD.92.119906; citation_id=CR22"/> <meta name="citation_reference" content="citation_journal_title=Z. Phys. A; citation_title=Generalized polarizabilities of the nucleon studied in the linear sigma model; citation_author=A Metz, D Drechsel; citation_volume=356; citation_publication_date=1996; citation_pages=351-357; citation_doi=10.1007/s002180050188; citation_id=CR23"/> <meta name="citation_reference" content="citation_journal_title=Z. Phys. A; citation_title=Generalized polarizabilities of the nucleon studied in the linear sigma model (II); citation_author=A Metz, D Drechsel; citation_volume=359; citation_publication_date=1997; citation_pages=165-172; citation_doi=10.1007/s002180050384; citation_id=CR24"/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. C; citation_title=Nucleon polarizabilities in virtual Compton scattering; citation_author=A Korchin, O Scholten; citation_volume=58; citation_publication_date=1998; citation_pages=1098; citation_doi=10.1103/PhysRevC.58.1098; citation_id=CR25"/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. C; citation_title=Nucleon generalized polarizabilities within a relativistic constituent quark model; citation_author=B Pasquini, G Salme; citation_volume=57; citation_publication_date=1998; citation_pages=2589; citation_doi=10.1103/PhysRevC.57.2589; citation_id=CR26"/> <meta name="citation_reference" content="citation_journal_title=Aust. J. Phys.; citation_title=Virtual Compton scattering from the proton and the properties of nucleon excited states; citation_author=GQ Liu, AW Thomas, PAM Guichon; citation_volume=49; citation_publication_date=1996; citation_pages=905-918; citation_doi=10.1071/PH960905; citation_id=CR27"/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. C; citation_title=Generalized polarizabilities of the proton in a constituent quark model revisited; citation_author=B Pasquini, S Scherer, D Drechsel; citation_volume=63; citation_publication_date=2001; citation_pages=025205; citation_doi=10.1103/PhysRevC.63.025205; citation_id=CR28"/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. Lett.; citation_title=Light-front interpretation of proton generalized polarizabilities; citation_author=M Gorchtein, C Lorce, B Pasquini, M Vanderhaeghen; citation_volume=104; citation_publication_date=2010; citation_pages=112001; citation_doi=10.1103/PhysRevLett.104.112001; citation_id=CR29"/> <meta name="citation_reference" content="citation_journal_title=Nat. Commun.; citation_title=Measurement of the neutron charge radius and the role of its constituents; citation_author=H Atac; citation_volume=12; citation_publication_date=2021; citation_pages=1759; citation_doi=10.1038/s41467-021-22028-z; citation_id=CR30"/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. Lett.; citation_title=Measurement of Compton scattering at MAMI for the extraction of the electric and magnetic polarizabilities of the proton; citation_author=E Mornacchi; citation_volume=128; citation_publication_date=2022; citation_pages=132503; citation_doi=10.1103/PhysRevLett.128.132503; citation_id=CR31"/> <meta name="citation_reference" content="citation_journal_title=Nat. Phys.; citation_title=Measurement of the proton spin structure at long distances; citation_author=X Zheng; citation_volume=17; citation_publication_date=2021; citation_pages=736-741; citation_doi=10.1038/s41567-021-01198-z; citation_id=CR32"/> <meta name="citation_reference" content="citation_journal_title=Nat. Phys.; citation_title=Measurement of the generalized spin polarizabilities of the neutron in the low-Q2 region; citation_author=V Sulkosky; citation_volume=17; citation_publication_date=2021; citation_pages=687-692; citation_doi=10.1038/s41567-021-01245-9; citation_id=CR33"/> <meta name="citation_reference" content="citation_journal_title=Nat. Phys.; citation_title=Nucleon spins surprise; citation_author=MW Ahmed; citation_volume=17; citation_publication_date=2021; citation_pages=670-671; citation_doi=10.1038/s41567-021-01263-7; citation_id=CR34"/> <meta name="citation_reference" content="citation_journal_title=Nucl. Instrum. Methods A; citation_title=The lead-glass electromagnetic calorimeters for the magnetic spectrometers in Hall C at Jefferson Lab; citation_author=H Mkrtchyan; citation_volume=719; citation_publication_date=2013; citation_pages=85-100; citation_doi=10.1016/j.nima.2013.03.070; citation_id=CR35"/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. C; citation_title=QED radiative corrections to virtual Compton scattering; citation_author=M Vanderhaeghen; citation_volume=62; citation_publication_date=2000; citation_pages=025501; citation_doi=10.1103/PhysRevC.62.025501; citation_id=CR36"/> <meta name="citation_reference" content="Rasmussen, C. E. & Williams, C. K. I. Gaussian Processes for Machine Learning (MIT Press, 2006)."/> <meta name="citation_reference" content="citation_journal_title=Nucl. Phys. A; citation_title=Virtual Compton scattering and generalized polarizabilities of the proton; citation_author=P Guichon, G Liu, AW Thomas; citation_volume=591; citation_publication_date=1995; citation_pages=606-638; citation_doi=10.1016/0375-9474(95)00217-O; citation_id=CR38"/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. Lett.; citation_title=High-precision determination of the electric and magnetic form factors of the proton; citation_author=JC Bernauer; citation_volume=105; citation_publication_date=2010; citation_pages=242001; citation_doi=10.1103/PhysRevLett.105.242001; citation_id=CR39"/> <meta name="citation_reference" content="citation_journal_title=Eur. Phys. J. A; citation_title=Charge radii of the nucleon from its flavor dependent Dirac form factors; citation_author=H Atac; citation_volume=57; citation_publication_date=2021; citation_doi=10.1140/epja/s10050-021-00389-9; citation_id=CR40"/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. C; citation_title=Measurements of the generalized electric and magnetic polarizabilities of the proton at low Q2 using the virtual Compton scattering reaction; citation_author=P Bourgeois; citation_volume=84; citation_publication_date=2011; citation_pages=035206; citation_doi=10.1103/PhysRevC.84.035206; citation_id=CR41"/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. Lett.; citation_title=Measurements of the generalized electric and magnetic polarizabilities of the proton at low Q2 using the VCS reaction; citation_author=P Bourgeois; citation_volume=97; citation_publication_date=2006; citation_pages=212001; citation_doi=10.1103/PhysRevLett.97.212001; citation_id=CR42"/> <meta name="citation_reference" content="citation_journal_title=Eur. Phys. J. A; citation_title=Virtual Compton scattering measurements in the nucleon resonance region; citation_author=A Blomberg; citation_volume=55; citation_publication_date=2019; citation_doi=10.1140/epja/i2019-12877-0; citation_id=CR43"/> <meta name="citation_reference" content="citation_journal_title=Nature; citation_title=The size of the proton; citation_author=R Pohl; citation_volume=466; citation_publication_date=2010; citation_pages=213-216; citation_doi=10.1038/nature09250; citation_id=CR44"/> <meta name="citation_reference" content="citation_journal_title=Science; citation_title=Proton structure from the measurement of 2S-2P transition frequencies of muonic hydrogen; citation_author=A Antognini; citation_volume=339; citation_publication_date=2013; citation_pages=417-420; citation_doi=10.1126/science.1230016; citation_id=CR45"/> <meta name="citation_reference" content="citation_journal_title=Nature; citation_title=A small proton charge radius from an electron–proton scattering experiment; citation_author=W Xiong; citation_volume=575; citation_publication_date=2019; citation_pages=147-150; citation_doi=10.1038/s41586-019-1721-2; citation_id=CR46"/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. Lett.; citation_title=New measurement of the 1S-3S transition frequency of hydrogen: contribution to the proton charge radius puzzle; citation_author=H Fleurbaey; citation_volume=120; citation_publication_date=2018; citation_pages=182001; citation_doi=10.1103/PhysRevLett.120.183001; citation_id=CR47"/> <meta name="citation_reference" content="citation_journal_title=Science; citation_title=A measurement of the atomic hydrogen Lamb shift and the proton charge radius; citation_author=N Bezginov; citation_volume=365; citation_publication_date=2019; citation_pages=1007-1012; citation_doi=10.1126/science.aau7807; citation_id=CR48"/> <meta name="citation_reference" content="citation_journal_title=Science; citation_title=Two-photon frequency comb spectroscopy of atomic hydrogen; citation_author=A Grinin; citation_volume=370; citation_publication_date=2020; citation_pages=1061-1066; citation_doi=10.1126/science.abc7776; citation_id=CR49"/> <meta name="citation_author" content="Li, R."/> <meta name="citation_author_institution" content="Temple University, Philadelphia, USA"/> <meta name="citation_author" content="Sparveris, N."/> <meta name="citation_author_institution" content="Temple University, Philadelphia, USA"/> <meta name="citation_author" content="Atac, H."/> <meta name="citation_author_institution" content="Temple University, Philadelphia, USA"/> <meta name="citation_author" content="Jones, M. K."/> <meta name="citation_author_institution" content="Thomas Jefferson National Accelerator Facility, Newport News, USA"/> <meta name="citation_author" content="Paolone, M."/> <meta name="citation_author_institution" content="New Mexico State University, Las Cruces, USA"/> <meta name="citation_author" content="Akbar, Z."/> <meta name="citation_author_institution" content="University of Virginia, Charlottesville, USA"/> <meta name="citation_author" content="Gayoso, C. Ayerbe"/> <meta name="citation_author_institution" content="The College of William and Mary, Williamsburg, USA"/> <meta name="citation_author" content="Berdnikov, V."/> <meta name="citation_author_institution" content="Catholic University of America, Washington, USA"/> <meta name="citation_author" content="Biswas, D."/> <meta name="citation_author_institution" content="Hampton University, Hampton, USA"/> <meta name="citation_author_institution" content="Virginia Polytechnic Institute & State University, Blacksburg, USA"/> <meta name="citation_author" content="Boer, M."/> <meta name="citation_author_institution" content="Temple University, Philadelphia, USA"/> <meta name="citation_author_institution" content="Virginia Polytechnic Institute & State University, Blacksburg, USA"/> <meta name="citation_author" content="Camsonne, A."/> <meta name="citation_author_institution" content="Thomas Jefferson National Accelerator Facility, Newport News, USA"/> <meta name="citation_author" content="Chen, J.-P."/> <meta name="citation_author_institution" content="Thomas Jefferson National Accelerator Facility, Newport News, USA"/> <meta name="citation_author" content="Diefenthaler, M."/> <meta name="citation_author_institution" content="Thomas Jefferson National Accelerator Facility, Newport News, USA"/> <meta name="citation_author" content="Duran, B."/> <meta name="citation_author_institution" content="Temple University, Philadelphia, USA"/> <meta name="citation_author" content="Dutta, D."/> <meta name="citation_author_institution" content="Mississippi State University, Mississippi State, USA"/> <meta name="citation_author" content="Gaskell, D."/> <meta name="citation_author_institution" content="Thomas Jefferson National Accelerator Facility, Newport News, USA"/> <meta name="citation_author" content="Hansen, O."/> <meta name="citation_author_institution" content="Thomas Jefferson National Accelerator Facility, Newport News, USA"/> <meta name="citation_author" content="Hauenstein, F."/> <meta name="citation_author_institution" content="Old Dominion University, Norfolk, USA"/> <meta name="citation_author" content="Heinrich, N."/> <meta name="citation_author_institution" content="University of Regina, Regina, Canada"/> <meta name="citation_author" content="Henry, W."/> <meta name="citation_author_institution" content="Thomas Jefferson National Accelerator Facility, Newport News, USA"/> <meta name="citation_author" content="Horn, T."/> <meta name="citation_author_institution" content="Catholic University of America, Washington, USA"/> <meta name="citation_author" content="Huber, G. M."/> <meta name="citation_author_institution" content="University of Regina, Regina, Canada"/> <meta name="citation_author" content="Jia, S."/> <meta name="citation_author_institution" content="Temple University, Philadelphia, USA"/> <meta name="citation_author" content="Joosten, S."/> <meta name="citation_author_institution" content="Argonne National Laboratory, Lemont, USA"/> <meta name="citation_author" content="Karki, A."/> <meta name="citation_author_institution" content="Mississippi State University, Mississippi State, USA"/> <meta name="citation_author" content="Kay, S. J. D."/> <meta name="citation_author_institution" content="University of Regina, Regina, Canada"/> <meta name="citation_author" content="Kumar, V."/> <meta name="citation_author_institution" content="University of Regina, Regina, Canada"/> <meta name="citation_author" content="Li, X."/> <meta name="citation_author_institution" content="Duke University, Durham, USA"/> <meta name="citation_author" content="Li, W. B."/> <meta name="citation_author_institution" content="The College of William and Mary, Williamsburg, USA"/> <meta name="citation_author" content="Liyanage, A. H."/> <meta name="citation_author_institution" content="Hampton University, Hampton, USA"/> <meta name="citation_author" content="Malace, S."/> <meta name="citation_author_institution" content="Thomas Jefferson National Accelerator Facility, Newport News, USA"/> <meta name="citation_author" content="Markowitz, P."/> <meta name="citation_author_institution" content="Florida International University, University Park, USA"/> <meta name="citation_author" content="McCaughan, M."/> <meta name="citation_author_institution" content="Thomas Jefferson National Accelerator Facility, Newport News, USA"/> <meta name="citation_author" content="Meziani, Z.-E."/> <meta name="citation_author_institution" content="Argonne National Laboratory, Lemont, USA"/> <meta name="citation_author" content="Mkrtchyan, H."/> <meta name="citation_author_institution" content="Artem Alikhanian National Laboratory, Yerevan, Armenia"/> <meta name="citation_author" content="Morean, C."/> <meta name="citation_author_institution" content="University of Tennessee, Knoxville, USA"/> <meta name="citation_author" content="Muhoza, M."/> <meta name="citation_author_institution" content="Catholic University of America, Washington, USA"/> <meta name="citation_author" content="Narayan, A."/> <meta name="citation_author_institution" content="Veer Kunwar Singh University, Arrah, India"/> <meta name="citation_author" content="Pasquini, B."/> <meta name="citation_author_institution" content="University of Pavia, Pavia, Italy"/> <meta name="citation_author_institution" content="Istituto Nazionale di Fisica Nucleare (INFN), Pavia, Italy"/> <meta name="citation_author" content="Rehfuss, M."/> <meta name="citation_author_institution" content="Temple University, Philadelphia, USA"/> <meta name="citation_author" content="Sawatzky, B."/> <meta name="citation_author_institution" content="Thomas Jefferson National Accelerator Facility, Newport News, USA"/> <meta name="citation_author" content="Smith, G. R."/> <meta name="citation_author_institution" content="Thomas Jefferson National Accelerator Facility, Newport News, USA"/> <meta name="citation_author" content="Smith, A."/> <meta name="citation_author_institution" content="Duke University, Durham, USA"/> <meta name="citation_author" content="Trotta, R."/> <meta name="citation_author_institution" content="Catholic University of America, Washington, USA"/> <meta name="citation_author" content="Yero, C."/> <meta name="citation_author_institution" content="Florida International University, University Park, USA"/> <meta name="citation_author" content="Zheng, X."/> <meta name="citation_author_institution" content="University of Virginia, Charlottesville, USA"/> <meta name="citation_author" content="Zhou, J."/> <meta name="citation_author_institution" content="Duke University, Durham, USA"/> <meta name="access_endpoint" content="https://www.nature.com/platform/readcube-access"/> <meta name="twitter:site" content="@nature"/> <meta name="twitter:card" content="summary_large_image"/> <meta name="twitter:image:alt" content="Content cover image"/> <meta name="twitter:title" content="Measured proton electromagnetic structure deviates from theoretical predictions"/> <meta name="twitter:description" content="Nature - Measurements of the proton’s electromagnetic structure show enhancement of its electric generalized polarizability compared with theoretical expectations, confirming the presence of..."/> <meta name="twitter:image" content="https://media.springernature.com/full/springer-static/image/art%3A10.1038%2Fs41586-022-05248-1/MediaObjects/41586_2022_5248_Fig1_HTML.png"/> <meta property="og:url" content="https://www.nature.com/articles/s41586-022-05248-1"/> <meta property="og:type" content="article"/> <meta property="og:site_name" content="Nature"/> <meta property="og:title" content="Measured proton electromagnetic structure deviates from theoretical predictions - Nature"/> <meta property="og:description" content="Measurements of the proton’s electromagnetic structure show enhancement of its electric generalized polarizability compared with theoretical expectations, confirming the presence of a new dynamical mechanism not accounted for by current theories."/> <meta property="og:image" content="https://media.springernature.com/m685/springer-static/image/art%3A10.1038%2Fs41586-022-05248-1/MediaObjects/41586_2022_5248_Fig1_HTML.png"/> <script> window.eligibleForRa21 = 'true'; </script> </head> <body class="article-page"> <noscript><iframe src="https://www.googletagmanager.com/ns.html?id=GTM-MRVXSHQ" height="0" width="0" style="display:none;visibility:hidden"></iframe></noscript> <div class="position-relative cleared z-index-50 background-white" data-test="top-containers"> <a class="c-skip-link" href="#content">Skip to main content</a> <div class="c-grade-c-banner u-hide"> <div class="c-grade-c-banner__container"> <p>Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.</p> </div> </div> <div class="u-hide u-show-following-ad"></div> <aside class="c-ad c-ad--728x90"> <div class="c-ad__inner" data-container-type="banner-advert"> <p class="c-ad__label">Advertisement</p> <div id="div-gpt-ad-top-1" class="div-gpt-ad advert leaderboard js-ad text-center hide-print grade-c-hide" data-ad-type="top" data-test="top-ad" data-pa11y-ignore data-gpt data-gpt-unitpath="/285/nature.com/article" data-gpt-sizes="728x90" data-gpt-targeting="type=article;pos=top;artid=s41586-022-05248-1;doi=10.1038/s41586-022-05248-1;subjmeta=1126,1129,387,639,766;kwrd=Experimental+nuclear+physics,Theoretical+nuclear+physics"> <noscript> <a href="//pubads.g.doubleclick.net/gampad/jump?iu=/285/nature.com/article&sz=728x90&c=1297990008&t=pos%3Dtop%26type%3Darticle%26artid%3Ds41586-022-05248-1%26doi%3D10.1038/s41586-022-05248-1%26subjmeta%3D1126,1129,387,639,766%26kwrd%3DExperimental+nuclear+physics,Theoretical+nuclear+physics"> <img data-test="gpt-advert-fallback-img" src="//pubads.g.doubleclick.net/gampad/ad?iu=/285/nature.com/article&sz=728x90&c=1297990008&t=pos%3Dtop%26type%3Darticle%26artid%3Ds41586-022-05248-1%26doi%3D10.1038/s41586-022-05248-1%26subjmeta%3D1126,1129,387,639,766%26kwrd%3DExperimental+nuclear+physics,Theoretical+nuclear+physics" alt="Advertisement" width="728" height="90"></a> </noscript> </div> </div> </aside> <header class="c-header" id="header" data-header data-track-component="nature-150-split-header" style="border-color:#000"> <div class="c-header__row"> <div class="c-header__container"> <div class="c-header__split"> <div class="c-header__logo-container"> <a href="/" data-track="click" data-track-action="home" data-track-label="image"> <picture class="c-header__logo"> <source srcset="https://media.springernature.com/full/nature-cms/uploads/product/nature/header-86f1267ea01eccd46b530284be10585e.svg" media="(min-width: 875px)"> <img src="https://media.springernature.com/full/nature-cms/uploads/product/nature/header-86f1267ea01eccd46b530284be10585e.svg" height="32" alt="Nature"> </picture> </a> </div> <ul class="c-header__menu c-header__menu--global"> <li class="c-header__item c-header__item--padding c-header__item--hide-md-max"> <a class="c-header__link" href="https://www.nature.com/siteindex" data-test="siteindex-link" data-track="click" data-track-action="open nature research index" data-track-label="link"> <span>View all journals</span> </a> </li> <li class="c-header__item c-header__item--padding c-header__item--pipe"> <a class="c-header__link c-header__link--search" href="#search-menu" data-header-expander data-test="search-link" data-track="click" data-track-action="open search tray" data-track-label="button"> <svg role="img" aria-hidden="true" focusable="false" height="22" width="22" viewBox="0 0 18 18" xmlns="http://www.w3.org/2000/svg"><path d="M16.48 15.455c.283.282.29.749.007 1.032a.738.738 0 01-1.032-.007l-3.045-3.044a7 7 0 111.026-1.026zM8 14A6 6 0 108 2a6 6 0 000 12z"/></svg><span>Search</span> </a> </li> <li class="c-header__item c-header__item--padding c-header__item--snid-account-widget c-header__item--pipe"> <a class="c-header__link eds-c-header__link" id="identity-account-widget" data-track="click_login" data-track-context="header" href='https://idp.nature.com/auth/personal/springernature?redirect_uri=https://www.nature.com/articles/s41586-022-05248-1?error=cookies_not_supported&code=e5e0cad3-db17-4eaa-b117-2817a8e8240b'><span class="eds-c-header__widget-fragment-title">Log in</span></a> </li> </ul> </div> </div> </div> <div class="c-header__row"> <div class="c-header__container" data-test="navigation-row"> <div class="c-header__split"> <ul class="c-header__menu c-header__menu--journal"> <li class="c-header__item c-header__item--dropdown-menu" data-test="explore-content-button"> <a href="#explore" class="c-header__link" data-header-expander data-test="menu-button--explore" data-track="click" data-track-action="open explore expander" data-track-label="button"> <span><span class="c-header__show-text">Explore</span> content</span><svg role="img" aria-hidden="true" focusable="false" height="16" viewBox="0 0 16 16" width="16" xmlns="http://www.w3.org/2000/svg"><path d="m5.58578644 3-3.29289322-3.29289322c-.39052429-.39052429-.39052429-1.02368927 0-1.41421356s1.02368927-.39052429 1.41421356 0l4 4c.39052429.39052429.39052429 1.02368927 0 1.41421356l-4 4c-.39052429.39052429-1.02368927.39052429-1.41421356 0s-.39052429-1.02368927 0-1.41421356z" transform="matrix(0 1 -1 0 11 3)"/></svg> </a> </li> <li class="c-header__item c-header__item--dropdown-menu"> <a href="#about-the-journal" class="c-header__link" data-header-expander data-test="menu-button--about-the-journal" data-track="click" data-track-action="open about the journal expander" data-track-label="button"> <span>About <span class="c-header__show-text">the journal</span></span><svg role="img" aria-hidden="true" focusable="false" height="16" viewBox="0 0 16 16" width="16" xmlns="http://www.w3.org/2000/svg"><path d="m5.58578644 3-3.29289322-3.29289322c-.39052429-.39052429-.39052429-1.02368927 0-1.41421356s1.02368927-.39052429 1.41421356 0l4 4c.39052429.39052429.39052429 1.02368927 0 1.41421356l-4 4c-.39052429.39052429-1.02368927.39052429-1.41421356 0s-.39052429-1.02368927 0-1.41421356z" transform="matrix(0 1 -1 0 11 3)"/></svg> </a> </li> <li class="c-header__item c-header__item--dropdown-menu" data-test="publish-with-us-button"> <a href="#publish-with-us" class="c-header__link c-header__link--dropdown-menu" data-header-expander data-test="menu-button--publish" data-track="click" data-track-action="open publish with us expander" data-track-label="button"> <span>Publish <span class="c-header__show-text">with us</span></span><svg role="img" aria-hidden="true" focusable="false" height="16" viewBox="0 0 16 16" width="16" xmlns="http://www.w3.org/2000/svg"><path d="m5.58578644 3-3.29289322-3.29289322c-.39052429-.39052429-.39052429-1.02368927 0-1.41421356s1.02368927-.39052429 1.41421356 0l4 4c.39052429.39052429.39052429 1.02368927 0 1.41421356l-4 4c-.39052429.39052429-1.02368927.39052429-1.41421356 0s-.39052429-1.02368927 0-1.41421356z" transform="matrix(0 1 -1 0 11 3)"/></svg> </a> </li> <li class="c-header__item c-header__item--pipe c-header__item--hide-lg-max"> <a class="c-header__link" href="/nature/subscribe" data-track="click" data-track-action="subscribe" data-track-label="link" data-test="menu-button-subscribe"> <span>Subscribe</span> </a> </li> </ul> <ul class="c-header__menu c-header__menu--hide-lg-max"> <li class="c-header__item"> <a class="c-header__link" href="https://idp.nature.com/auth/personal/springernature?redirect_uri=https%3A%2F%2Fwww.nature.com%2Fmy-account%2Falerts%2Fsubscribe-journal%3Flist-id%3D1%26journal-link%3Dhttps%253A%252F%252Fwww.nature.com%252Fnature%252F" rel="nofollow" data-track="click" data-track-action="Sign up for alerts" data-track-label="link (desktop site header)" data-track-external> <span>Sign up for alerts</span><svg role="img" aria-hidden="true" focusable="false" height="18" viewBox="0 0 18 18" width="18" xmlns="http://www.w3.org/2000/svg"><path d="m4 10h2.5c.27614237 0 .5.2238576.5.5s-.22385763.5-.5.5h-3.08578644l-1.12132034 1.1213203c-.18753638.1875364-.29289322.4418903-.29289322.7071068v.1715729h14v-.1715729c0-.2652165-.1053568-.5195704-.2928932-.7071068l-1.7071068-1.7071067v-3.4142136c0-2.76142375-2.2385763-5-5-5-2.76142375 0-5 2.23857625-5 5zm3 4c0 1.1045695.8954305 2 2 2s2-.8954305 2-2zm-5 0c-.55228475 0-1-.4477153-1-1v-.1715729c0-.530433.21071368-1.0391408.58578644-1.4142135l1.41421356-1.4142136v-3c0-3.3137085 2.6862915-6 6-6s6 2.6862915 6 6v3l1.4142136 1.4142136c.3750727.3750727.5857864.8837805.5857864 1.4142135v.1715729c0 .5522847-.4477153 1-1 1h-4c0 1.6568542-1.3431458 3-3 3-1.65685425 0-3-1.3431458-3-3z" fill="#222"/></svg> </a> </li> <li class="c-header__item c-header__item--pipe"> <a class="c-header__link" href="https://www.nature.com/nature.rss" data-track="click" data-track-action="rss feed" data-track-label="link"> <span>RSS feed</span> </a> </li> </ul> </div> </div> </div> </header> <nav class="u-mb-16" aria-label="breadcrumbs"> <div class="u-container"> <ol class="c-breadcrumbs" itemscope itemtype="https://schema.org/BreadcrumbList"> <li class="c-breadcrumbs__item" id="breadcrumb0" itemprop="itemListElement" itemscope itemtype="https://schema.org/ListItem"><a class="c-breadcrumbs__link" href="/" itemprop="item" data-track="click" data-track-action="breadcrumb" data-track-category="header" data-track-label="link:nature"><span itemprop="name">nature</span></a><meta itemprop="position" content="1"> <svg class="c-breadcrumbs__chevron" role="img" aria-hidden="true" focusable="false" height="10" viewBox="0 0 10 10" width="10" xmlns="http://www.w3.org/2000/svg"> <path d="m5.96738168 4.70639573 2.39518594-2.41447274c.37913917-.38219212.98637524-.38972225 1.35419292-.01894278.37750606.38054586.37784436.99719163-.00013556 1.37821513l-4.03074001 4.06319683c-.37758093.38062133-.98937525.38100976-1.367372-.00003075l-4.03091981-4.06337806c-.37759778-.38063832-.38381821-.99150444-.01600053-1.3622839.37750607-.38054587.98772445-.38240057 1.37006824.00302197l2.39538588 2.4146743.96295325.98624457z" fill="#666" fill-rule="evenodd" transform="matrix(0 -1 1 0 0 10)"/> </svg> </li><li class="c-breadcrumbs__item" id="breadcrumb1" itemprop="itemListElement" itemscope itemtype="https://schema.org/ListItem"><a class="c-breadcrumbs__link" href="/nature/articles?type=article" itemprop="item" data-track="click" data-track-action="breadcrumb" data-track-category="header" data-track-label="link:articles"><span itemprop="name">articles</span></a><meta itemprop="position" content="2"> <svg class="c-breadcrumbs__chevron" role="img" aria-hidden="true" focusable="false" height="10" viewBox="0 0 10 10" width="10" xmlns="http://www.w3.org/2000/svg"> <path d="m5.96738168 4.70639573 2.39518594-2.41447274c.37913917-.38219212.98637524-.38972225 1.35419292-.01894278.37750606.38054586.37784436.99719163-.00013556 1.37821513l-4.03074001 4.06319683c-.37758093.38062133-.98937525.38100976-1.367372-.00003075l-4.03091981-4.06337806c-.37759778-.38063832-.38381821-.99150444-.01600053-1.3622839.37750607-.38054587.98772445-.38240057 1.37006824.00302197l2.39538588 2.4146743.96295325.98624457z" fill="#666" fill-rule="evenodd" transform="matrix(0 -1 1 0 0 10)"/> </svg> </li><li class="c-breadcrumbs__item" id="breadcrumb2" itemprop="itemListElement" itemscope itemtype="https://schema.org/ListItem"> <span itemprop="name">article</span><meta itemprop="position" content="3"></li> </ol> </div> </nav> </div> <div class="u-container u-mt-32 u-mb-32 u-clearfix" id="content" data-component="article-container" data-container-type="article"> <main class="c-article-main-column u-float-left js-main-column" data-track-component="article body"> <article lang="en"> <div class="c-article-header"> <header> <ul class="c-article-identifiers" data-test="article-identifier"> <li class="c-article-identifiers__item" data-test="article-category">Article</li> <li class="c-article-identifiers__item">Published: <time datetime="2022-10-19">19 October 2022</time></li> </ul> <h1 class="c-article-title" data-test="article-title" data-article-title="">Measured proton electromagnetic structure deviates from theoretical predictions</h1> <ul class="c-article-author-list c-article-author-list--long" data-test="authors-list" data-component-authors-activator="authors-list"><li class="c-article-author-list__item"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-R_-Li-Aff1" data-author-popup="auth-R_-Li-Aff1" data-author-search="Li, R.">R. Li</a><sup class="u-js-hide"><a href="#Aff1">1</a></sup>, </li><li class="c-article-author-list__item"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-N_-Sparveris-Aff1" data-author-popup="auth-N_-Sparveris-Aff1" data-author-search="Sparveris, N." data-corresp-id="c1">N. Sparveris<svg width="16" height="16" focusable="false" role="img" aria-hidden="true" class="u-icon"><use xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#icon-eds-i-mail-medium"></use></svg></a><span class="u-js-hide"> <a class="js-orcid" href="http://orcid.org/0000-0002-6278-1178"><span class="u-visually-hidden">ORCID: </span>orcid.org/0000-0002-6278-1178</a></span><sup class="u-js-hide"><a href="#Aff1">1</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-H_-Atac-Aff1" data-author-popup="auth-H_-Atac-Aff1" data-author-search="Atac, H.">H. Atac</a><span class="u-js-hide"> <a class="js-orcid" href="http://orcid.org/0000-0002-8945-5305"><span class="u-visually-hidden">ORCID: </span>orcid.org/0000-0002-8945-5305</a></span><sup class="u-js-hide"><a href="#Aff1">1</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-M__K_-Jones-Aff2" data-author-popup="auth-M__K_-Jones-Aff2" data-author-search="Jones, M. K.">M. K. Jones</a><sup class="u-js-hide"><a href="#Aff2">2</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-M_-Paolone-Aff3" data-author-popup="auth-M_-Paolone-Aff3" data-author-search="Paolone, M.">M. Paolone</a><span class="u-js-hide"> <a class="js-orcid" href="http://orcid.org/0000-0002-8980-6670"><span class="u-visually-hidden">ORCID: </span>orcid.org/0000-0002-8980-6670</a></span><sup class="u-js-hide"><a href="#Aff3">3</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-Z_-Akbar-Aff4" data-author-popup="auth-Z_-Akbar-Aff4" data-author-search="Akbar, Z.">Z. Akbar</a><sup class="u-js-hide"><a href="#Aff4">4</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-C__Ayerbe-Gayoso-Aff5" data-author-popup="auth-C__Ayerbe-Gayoso-Aff5" data-author-search="Gayoso, C. Ayerbe">C. Ayerbe Gayoso</a><span class="u-js-hide"> <a class="js-orcid" href="http://orcid.org/0000-0001-8640-5380"><span class="u-visually-hidden">ORCID: </span>orcid.org/0000-0001-8640-5380</a></span><sup class="u-js-hide"><a href="#Aff5">5</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-V_-Berdnikov-Aff6" data-author-popup="auth-V_-Berdnikov-Aff6" data-author-search="Berdnikov, V.">V. Berdnikov</a><sup class="u-js-hide"><a href="#Aff6">6</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-D_-Biswas-Aff7-Aff8" data-author-popup="auth-D_-Biswas-Aff7-Aff8" data-author-search="Biswas, D.">D. Biswas</a><sup class="u-js-hide"><a href="#Aff7">7</a>,<a href="#Aff8">8</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-M_-Boer-Aff1-Aff8" data-author-popup="auth-M_-Boer-Aff1-Aff8" data-author-search="Boer, M.">M. Boer</a><sup class="u-js-hide"><a href="#Aff1">1</a>,<a href="#Aff8">8</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-A_-Camsonne-Aff2" data-author-popup="auth-A_-Camsonne-Aff2" data-author-search="Camsonne, A.">A. Camsonne</a><sup class="u-js-hide"><a href="#Aff2">2</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-J__P_-Chen-Aff2" data-author-popup="auth-J__P_-Chen-Aff2" data-author-search="Chen, J.-P.">J.-P. Chen</a><sup class="u-js-hide"><a href="#Aff2">2</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-M_-Diefenthaler-Aff2" data-author-popup="auth-M_-Diefenthaler-Aff2" data-author-search="Diefenthaler, M.">M. Diefenthaler</a><span class="u-js-hide"> <a class="js-orcid" href="http://orcid.org/0000-0002-4717-4484"><span class="u-visually-hidden">ORCID: </span>orcid.org/0000-0002-4717-4484</a></span><sup class="u-js-hide"><a href="#Aff2">2</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-B_-Duran-Aff1" data-author-popup="auth-B_-Duran-Aff1" data-author-search="Duran, B.">B. Duran</a><sup class="u-js-hide"><a href="#Aff1">1</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-D_-Dutta-Aff9" data-author-popup="auth-D_-Dutta-Aff9" data-author-search="Dutta, D.">D. Dutta</a><sup class="u-js-hide"><a href="#Aff9">9</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-D_-Gaskell-Aff2" data-author-popup="auth-D_-Gaskell-Aff2" data-author-search="Gaskell, D.">D. Gaskell</a><sup class="u-js-hide"><a href="#Aff2">2</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-O_-Hansen-Aff2" data-author-popup="auth-O_-Hansen-Aff2" data-author-search="Hansen, O.">O. Hansen</a><span class="u-js-hide"> <a class="js-orcid" href="http://orcid.org/0000-0002-7908-3886"><span class="u-visually-hidden">ORCID: </span>orcid.org/0000-0002-7908-3886</a></span><sup class="u-js-hide"><a href="#Aff2">2</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-F_-Hauenstein-Aff10" data-author-popup="auth-F_-Hauenstein-Aff10" data-author-search="Hauenstein, F.">F. Hauenstein</a><sup class="u-js-hide"><a href="#Aff10">10</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-N_-Heinrich-Aff11" data-author-popup="auth-N_-Heinrich-Aff11" data-author-search="Heinrich, N.">N. Heinrich</a><sup class="u-js-hide"><a href="#Aff11">11</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-W_-Henry-Aff2" data-author-popup="auth-W_-Henry-Aff2" data-author-search="Henry, W.">W. Henry</a><sup class="u-js-hide"><a href="#Aff2">2</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-T_-Horn-Aff6" data-author-popup="auth-T_-Horn-Aff6" data-author-search="Horn, T.">T. Horn</a><sup class="u-js-hide"><a href="#Aff6">6</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-G__M_-Huber-Aff11" data-author-popup="auth-G__M_-Huber-Aff11" data-author-search="Huber, G. M.">G. M. Huber</a><sup class="u-js-hide"><a href="#Aff11">11</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-S_-Jia-Aff1" data-author-popup="auth-S_-Jia-Aff1" data-author-search="Jia, S.">S. Jia</a><sup class="u-js-hide"><a href="#Aff1">1</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-S_-Joosten-Aff12" data-author-popup="auth-S_-Joosten-Aff12" data-author-search="Joosten, S.">S. Joosten</a><span class="u-js-hide"> <a class="js-orcid" href="http://orcid.org/0000-0003-4947-877X"><span class="u-visually-hidden">ORCID: </span>orcid.org/0000-0003-4947-877X</a></span><sup class="u-js-hide"><a href="#Aff12">12</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-A_-Karki-Aff9" data-author-popup="auth-A_-Karki-Aff9" data-author-search="Karki, A.">A. Karki</a><sup class="u-js-hide"><a href="#Aff9">9</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-S__J__D_-Kay-Aff11" data-author-popup="auth-S__J__D_-Kay-Aff11" data-author-search="Kay, S. J. D.">S. J. D. Kay</a><sup class="u-js-hide"><a href="#Aff11">11</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-V_-Kumar-Aff11" data-author-popup="auth-V_-Kumar-Aff11" data-author-search="Kumar, V.">V. Kumar</a><sup class="u-js-hide"><a href="#Aff11">11</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-X_-Li-Aff13" data-author-popup="auth-X_-Li-Aff13" data-author-search="Li, X.">X. Li</a><sup class="u-js-hide"><a href="#Aff13">13</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-W__B_-Li-Aff5" data-author-popup="auth-W__B_-Li-Aff5" data-author-search="Li, W. B.">W. B. Li</a><sup class="u-js-hide"><a href="#Aff5">5</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-A__H_-Liyanage-Aff7" data-author-popup="auth-A__H_-Liyanage-Aff7" data-author-search="Liyanage, A. H.">A. H. Liyanage</a><sup class="u-js-hide"><a href="#Aff7">7</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-S_-Malace-Aff2" data-author-popup="auth-S_-Malace-Aff2" data-author-search="Malace, S.">S. Malace</a><sup class="u-js-hide"><a href="#Aff2">2</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-P_-Markowitz-Aff14" data-author-popup="auth-P_-Markowitz-Aff14" data-author-search="Markowitz, P.">P. Markowitz</a><sup class="u-js-hide"><a href="#Aff14">14</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-M_-McCaughan-Aff2" data-author-popup="auth-M_-McCaughan-Aff2" data-author-search="McCaughan, M.">M. McCaughan</a><sup class="u-js-hide"><a href="#Aff2">2</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-Z__E_-Meziani-Aff12" data-author-popup="auth-Z__E_-Meziani-Aff12" data-author-search="Meziani, Z.-E.">Z.-E. Meziani</a><span class="u-js-hide"> <a class="js-orcid" href="http://orcid.org/0000-0001-9450-2914"><span class="u-visually-hidden">ORCID: </span>orcid.org/0000-0001-9450-2914</a></span><sup class="u-js-hide"><a href="#Aff12">12</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-H_-Mkrtchyan-Aff15" data-author-popup="auth-H_-Mkrtchyan-Aff15" data-author-search="Mkrtchyan, H.">H. Mkrtchyan</a><sup class="u-js-hide"><a href="#Aff15">15</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-C_-Morean-Aff16" data-author-popup="auth-C_-Morean-Aff16" data-author-search="Morean, C.">C. Morean</a><sup class="u-js-hide"><a href="#Aff16">16</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-M_-Muhoza-Aff6" data-author-popup="auth-M_-Muhoza-Aff6" data-author-search="Muhoza, M.">M. Muhoza</a><sup class="u-js-hide"><a href="#Aff6">6</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-A_-Narayan-Aff17" data-author-popup="auth-A_-Narayan-Aff17" data-author-search="Narayan, A.">A. Narayan</a><sup class="u-js-hide"><a href="#Aff17">17</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-B_-Pasquini-Aff18-Aff19" data-author-popup="auth-B_-Pasquini-Aff18-Aff19" data-author-search="Pasquini, B.">B. Pasquini</a><sup class="u-js-hide"><a href="#Aff18">18</a>,<a href="#Aff19">19</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-M_-Rehfuss-Aff1" data-author-popup="auth-M_-Rehfuss-Aff1" data-author-search="Rehfuss, M.">M. Rehfuss</a><sup class="u-js-hide"><a href="#Aff1">1</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-B_-Sawatzky-Aff2" data-author-popup="auth-B_-Sawatzky-Aff2" data-author-search="Sawatzky, B.">B. Sawatzky</a><span class="u-js-hide"> <a class="js-orcid" href="http://orcid.org/0000-0002-5637-0348"><span class="u-visually-hidden">ORCID: </span>orcid.org/0000-0002-5637-0348</a></span><sup class="u-js-hide"><a href="#Aff2">2</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-G__R_-Smith-Aff2" data-author-popup="auth-G__R_-Smith-Aff2" data-author-search="Smith, G. R.">G. R. Smith</a><span class="u-js-hide"> <a class="js-orcid" href="http://orcid.org/0000-0002-1755-809X"><span class="u-visually-hidden">ORCID: </span>orcid.org/0000-0002-1755-809X</a></span><sup class="u-js-hide"><a href="#Aff2">2</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-A_-Smith-Aff13" data-author-popup="auth-A_-Smith-Aff13" data-author-search="Smith, A.">A. Smith</a><sup class="u-js-hide"><a href="#Aff13">13</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-R_-Trotta-Aff6" data-author-popup="auth-R_-Trotta-Aff6" data-author-search="Trotta, R.">R. Trotta</a><sup class="u-js-hide"><a href="#Aff6">6</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-C_-Yero-Aff14" data-author-popup="auth-C_-Yero-Aff14" data-author-search="Yero, C.">C. Yero</a><sup class="u-js-hide"><a href="#Aff14">14</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-X_-Zheng-Aff4" data-author-popup="auth-X_-Zheng-Aff4" data-author-search="Zheng, X.">X. Zheng</a><span class="u-js-hide"> <a class="js-orcid" href="http://orcid.org/0000-0001-7300-2929"><span class="u-visually-hidden">ORCID: </span>orcid.org/0000-0001-7300-2929</a></span><sup class="u-js-hide"><a href="#Aff4">4</a></sup> & </li><li class="c-article-author-list__show-more" aria-label="Show all 47 authors for this article" title="Show all 47 authors for this article">…</li><li class="c-article-author-list__item"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-J_-Zhou-Aff13" data-author-popup="auth-J_-Zhou-Aff13" data-author-search="Zhou, J.">J. Zhou</a><sup class="u-js-hide"><a href="#Aff13">13</a></sup> </li></ul><button aria-expanded="false" class="c-article-author-list__button"><svg width="16" height="16" focusable="false" role="img" aria-hidden="true" class="u-icon"><use xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#icon-eds-i-chevron-down-medium"></use></svg><span>Show authors</span></button> <p class="c-article-info-details" data-container-section="info"> <a data-test="journal-link" href="/" data-track="click" data-track-action="journal homepage" data-track-category="article body" data-track-label="link"><i data-test="journal-title">Nature</i></a> <b data-test="journal-volume"><span class="u-visually-hidden">volume</span> 611</b>, <span class="u-visually-hidden">pages </span>265–270 (<span data-test="article-publication-year">2022</span>)<a href="#citeas" class="c-article-info-details__cite-as u-hide-print" data-track="click" data-track-action="cite this article" data-track-label="link">Cite this article</a> </p> <div class="c-article-metrics-bar__wrapper u-clear-both"> <ul class="c-article-metrics-bar u-list-reset"> <li class=" c-article-metrics-bar__item" data-test="access-count"> <p class="c-article-metrics-bar__count">6900 <span class="c-article-metrics-bar__label">Accesses</span></p> </li> <li class="c-article-metrics-bar__item" data-test="citation-count"> <p class="c-article-metrics-bar__count">9 <span class="c-article-metrics-bar__label">Citations</span></p> </li> <li class="c-article-metrics-bar__item" data-test="altmetric-score"> <p class="c-article-metrics-bar__count">249 <span class="c-article-metrics-bar__label">Altmetric</span></p> </li> <li class="c-article-metrics-bar__item"> <p class="c-article-metrics-bar__details"><a href="/articles/s41586-022-05248-1/metrics" data-track="click" data-track-action="view metrics" data-track-label="link" rel="nofollow">Metrics <span class="u-visually-hidden">details</span></a></p> </li> </ul> </div> </header> <div class="u-js-hide" data-component="article-subject-links"> <h3 class="c-article__sub-heading">Subjects</h3> <ul class="c-article-subject-list"> <li class="c-article-subject-list__subject"><a href="/subjects/experimental-nuclear-physics" data-track="click" data-track-action="view subject" data-track-label="link">Experimental nuclear physics</a></li><li class="c-article-subject-list__subject"><a href="/subjects/theoretical-nuclear-physics" data-track="click" data-track-action="view subject" data-track-label="link">Theoretical nuclear physics</a></li> </ul> </div> </div> <div class="c-article-body"> <section aria-labelledby="Abs1" data-title="Abstract" lang="en"><div class="c-article-section" id="Abs1-section"><h2 class="c-article-section__title js-section-title js-c-reading-companion-sections-item" id="Abs1">Abstract</h2><div class="c-article-section__content" id="Abs1-content"><p>The visible world is founded on the proton, the only composite building block of matter that is stable in nature. Consequently, understanding the formation of matter relies on explaining the dynamics and the properties of the proton’s bound state. A fundamental property of the proton involves the response of the system to an external electromagnetic field. It is characterized by the electromagnetic polarizabilities<sup><a data-track="click" data-track-action="reference anchor" data-track-label="link" data-test="citation-ref" aria-label="Reference 1" title="Zyla, P. A. et al. Review of particle physics. Prog. Theor. Exp. Phys. 2020, 083C01 (2020)." href="/articles/s41586-022-05248-1#ref-CR1" id="ref-link-section-d78383938e1121">1</a></sup> that describe how easily the charge and magnetization distributions inside the system are distorted by the electromagnetic field. Moreover, the generalized polarizabilities<sup><a data-track="click" data-track-action="reference anchor" data-track-label="link" data-test="citation-ref" aria-label="Reference 2" title="Fonvieille, H., Pasquini, B. & Sparveris, N. Virtual Compton scattering and nucleon generalized polarizabilities. Prog. Part. Nucl. Phys. 113, 103754 (2020)." href="/articles/s41586-022-05248-1#ref-CR2" id="ref-link-section-d78383938e1125">2</a></sup> map out the resulting deformation of the densities in a proton subject to an electromagnetic field. They disclose essential information about the underlying system dynamics and provide a key for decoding the proton structure in terms of the theory of the strong interaction that binds its elementary quark and gluon constituents. Of particular interest is a puzzle in the electric generalized polarizability of the proton that remains unresolved for two decades<sup><a data-track="click" data-track-action="reference anchor" data-track-label="link" data-test="citation-ref" aria-label="Reference 2" title="Fonvieille, H., Pasquini, B. & Sparveris, N. Virtual Compton scattering and nucleon generalized polarizabilities. Prog. Part. Nucl. Phys. 113, 103754 (2020)." href="/articles/s41586-022-05248-1#ref-CR2" id="ref-link-section-d78383938e1129">2</a></sup>. Here we report measurements of the proton’s electromagnetic generalized polarizabilities at low four-momentum transfer squared. We show evidence of an anomaly to the behaviour of the proton’s electric generalized polarizability that contradicts the predictions of nuclear theory and derive its signature in the spatial distribution of the induced polarization in the proton. The reported measurements suggest the presence of a new, not-yet-understood dynamical mechanism in the proton and present notable challenges to the nuclear theory.</p></div></div></section> <noscript> <div class="c-nature-box c-nature-box--side " data-component="entitlement-box"> <div class="js-access-button"> <a href="https://wayf.springernature.com?redirect_uri=https%3A%2F%2Fwww.nature.com%2Farticles%2Fs41586-022-05248-1" class="c-article__button" data-test="ra21"> <svg class="u-icon" width="18" height="18" aria-hidden="true" focusable="false"><use href="#icon-institution"></use></svg> <span class="c-article__button-text">Access through your institution</span> </a> </div> <div class="js-buy-button"> <a href="#access-options" class="c-article__button c-article__button--inverted" data-test="ra21"> <span>Buy or subscribe</span> </a> </div> </div> </noscript> <div class="js-context-bar-sticky-point-mobile" data-track-context="article body"> </div> <div class="c-article-access-provider u-mb-32 u-mt-0"> <p class="c-article-access-provider__text u-sans-serif">This is a preview of subscription content, <a href="https://wayf.springernature.com?redirect_uri=https%3A%2F%2Fwww.nature.com%2Farticles%2Fs41586-022-05248-1" data-track="click_institution_login" data-track-context="article body link" data-track-action="institution access preview subscription" data-track-label="link">access via your institution</a></p> </div> <h2 class="c-article-section__title u-h2 u-mb-24" id="access-options">Access options</h2> <noscript> <div class="c-nature-box c-nature-box--side " data-component="entitlement-box"> <div class="js-access-button"> <a href="https://wayf.springernature.com?redirect_uri=https%3A%2F%2Fwww.nature.com%2Farticles%2Fs41586-022-05248-1" class="c-article__button" data-test="ra21"> <svg class="u-icon" width="18" height="18" aria-hidden="true" focusable="false"><use href="#icon-institution"></use></svg> <span class="c-article__button-text">Access through your institution</span> </a> </div> </div> </noscript> <div class="c-nature-box c-nature-box--side u-display-none u-hide-print" aria-hidden="true" data-component="entitlement-box" id=entitlement-box-main-column-unentitled data-force-hide-buy-button="true" data-unsubscribe-media-query-change="true" > <p class="c-nature-box__text js-text u-display-none" aria-hidden="true"></p> <div class="js-access-button u-display-none"> <a href="https://wayf.springernature.com?redirect_uri=https%3A%2F%2Fwww.nature.com%2Farticles%2Fs41586-022-05248-1" class="c-article__button" aria-hidden="true" data-test="ra21" data-track="click_institution_login" data-track-context="article body button" data-track-action="institution access above buybox" data-track-label="button"> <svg class="u-icon" width="18" height="18" aria-hidden="true" focusable="false"><use xlink:href="#icon-institution"></use></svg> <span class="c-article__button-text">Access through your institution</span> </a> </div> <div class="js-change-institution-button u-display-none"> <a href="https://wayf.springernature.com?redirect_uri=https%3A%2F%2Fwww.nature.com%2Farticles%2Fs41586-022-05248-1" class="c-article__button c-article__button--inverted" aria-hidden="true" data-test="ra21" data-track="click" data-track-action="change institution above buybox" data-track-label="button"> <span class="c-article__button-text">Change institution</span> </a> </div> <div class="js-buy-button u-display-none"> <a href="#access-options" class="c-article__button c-article__button--inverted" aria-hidden="true" data-test="ra21" data-track="click" data-track-action="buy or subscribe" data-track-label="button"> <span>Buy or subscribe</span> </a> </div> </div> <div class="LiveAreaSection"><style type="text/css">/* style specs start */ /* style specs end */</style><section class="BuyBoxSection"><div class="subscribe-buybox-nature-plus"> <div class="box-inner"> <p class="title-buybox"> Access Nature and 54 other Nature Portfolio journals </p> <p class="access-buybox"> Get Nature+, our best-value online-access subscription </p> <div> <p class="price-buybox" id="nature-plus-subscription-price"> <span class="price-value">24,99 €<span class="price-per-period" style="font-size: 0.9rem"> / 30 days</span></span> </p> <p class="issue-buybox">cancel any time</p> </div> <div class="button-container"> <a href="https://shop.nature.com/products/plus" class="Button-505204839" data-track="click" data-track-action="nature+" data-track-label="link" data-track-category="article body" ><span class="ButtonLabel-3869432492">Learn more</span></a > </div> </div> </div><div class="subscribe-buybox"> <div class="box-inner"> <p class="title-buybox">Subscribe to this journal</p> <p class="access-buybox"> Receive 51 print issues and online access </p> <div> <p class="price-buybox" id="subscription-price">185,98 € per year</p> <p class="issue-buybox">only 3,65 € per issue</p> </div> <div class="button-container"> <a href="/nature/subscribe" class="Button-1078489254" data-track="click" data-track-action="subscribe" data-track-label="link" data-track-category="article body" ><span class="ButtonLabel-3296148077">Learn more</span></a > </div> </div> </div><div class="readcube-buybox"> <div class="box-inner"> <p class="title-readcube">Buy this article</p> <ul> <li class="link-usp"><span>Purchase on SpringerLink</span></li> <li class="link-usp"> <span>Instant access to full article PDF</span> </li> </ul> <div class="button-container"> <a href="//link.springer.com/article/10.1038/s41586-022-05248-1?utm_source=nature&utm_medium=referral&utm_campaign=buyArticle" class="btn-secondary Button-2737859108" data-track="click" data-track-action="Go to SL article page" data-track-label="link" data-track-category="article body" rel="noreferrer" ><span class="btn-secondary-label ButtonLabel-1636778223" >Buy now</span ></a > </div> </div> </div><p class="tax-buybox">Prices may be subject to local taxes which are calculated during checkout</p></section><style type="text/css"> /* style specs start */ style { display: none !important; } .LiveAreaSection * { align-content: stretch; align-items: stretch; align-self: auto; animation-delay: 0s; animation-direction: normal; animation-duration: 0s; animation-fill-mode: none; animation-iteration-count: 1; animation-name: none; animation-play-state: running; animation-timing-function: ease; azimuth: center; backface-visibility: visible; background-attachment: scroll; background-blend-mode: normal; background-clip: borderBox; background-color: transparent; background-image: none; background-origin: paddingBox; background-position: 0 0; background-repeat: repeat; background-size: auto auto; block-size: auto; border-block-end-color: currentcolor; border-block-end-style: none; border-block-end-width: medium; border-block-start-color: currentcolor; border-block-start-style: none; border-block-start-width: medium; border-bottom-color: currentcolor; border-bottom-left-radius: 0; border-bottom-right-radius: 0; border-bottom-style: none; border-bottom-width: medium; border-collapse: separate; border-image-outset: 0s; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-inline-end-color: currentcolor; border-inline-end-style: none; border-inline-end-width: medium; border-inline-start-color: currentcolor; border-inline-start-style: none; border-inline-start-width: medium; border-left-color: currentcolor; border-left-style: none; border-left-width: medium; border-right-color: currentcolor; border-right-style: none; border-right-width: medium; border-spacing: 0; border-top-color: currentcolor; border-top-left-radius: 0; border-top-right-radius: 0; border-top-style: none; border-top-width: medium; bottom: auto; box-decoration-break: slice; box-shadow: none; box-sizing: border-box; break-after: auto; break-before: auto; break-inside: auto; caption-side: top; caret-color: auto; clear: none; clip: auto; clip-path: none; color: initial; column-count: auto; column-fill: balance; column-gap: normal; column-rule-color: currentcolor; column-rule-style: none; column-rule-width: medium; column-span: none; column-width: auto; content: normal; counter-increment: none; counter-reset: none; cursor: auto; display: inline; empty-cells: show; filter: none; flex-basis: auto; flex-direction: row; flex-grow: 0; flex-shrink: 1; flex-wrap: nowrap; float: none; font-family: initial; font-feature-settings: normal; font-kerning: auto; font-language-override: normal; font-size: medium; font-size-adjust: none; font-stretch: normal; font-style: normal; font-synthesis: weight style; font-variant: normal; font-variant-alternates: normal; font-variant-caps: normal; font-variant-east-asian: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-position: normal; font-weight: 400; grid-auto-columns: auto; grid-auto-flow: row; grid-auto-rows: auto; grid-column-end: auto; grid-column-gap: 0; grid-column-start: auto; grid-row-end: auto; grid-row-gap: 0; grid-row-start: auto; grid-template-areas: none; grid-template-columns: none; grid-template-rows: none; height: auto; hyphens: manual; image-orientation: 0deg; image-rendering: auto; image-resolution: 1dppx; ime-mode: auto; inline-size: auto; isolation: auto; justify-content: flexStart; left: auto; letter-spacing: normal; line-break: auto; line-height: normal; list-style-image: none; list-style-position: outside; list-style-type: disc; margin-block-end: 0; margin-block-start: 0; margin-bottom: 0; margin-inline-end: 0; margin-inline-start: 0; margin-left: 0; margin-right: 0; margin-top: 0; mask-clip: borderBox; mask-composite: add; mask-image: none; mask-mode: matchSource; mask-origin: borderBox; mask-position: 0 0; mask-repeat: repeat; mask-size: auto; mask-type: luminance; max-height: none; max-width: none; min-block-size: 0; min-height: 0; min-inline-size: 0; min-width: 0; mix-blend-mode: normal; object-fit: fill; object-position: 50% 50%; offset-block-end: auto; offset-block-start: auto; offset-inline-end: auto; offset-inline-start: auto; opacity: 1; order: 0; orphans: 2; outline-color: initial; outline-offset: 0; outline-style: none; outline-width: medium; overflow: visible; overflow-wrap: normal; overflow-x: visible; overflow-y: visible; padding-block-end: 0; padding-block-start: 0; padding-bottom: 0; padding-inline-end: 0; padding-inline-start: 0; padding-left: 0; padding-right: 0; padding-top: 0; page-break-after: auto; page-break-before: auto; page-break-inside: auto; perspective: none; perspective-origin: 50% 50%; pointer-events: auto; position: static; quotes: initial; resize: none; right: auto; ruby-align: spaceAround; ruby-merge: separate; ruby-position: over; scroll-behavior: auto; scroll-snap-coordinate: none; scroll-snap-destination: 0 0; scroll-snap-points-x: none; scroll-snap-points-y: none; scroll-snap-type: none; shape-image-threshold: 0; shape-margin: 0; shape-outside: none; tab-size: 8; table-layout: auto; text-align: initial; text-align-last: auto; text-combine-upright: none; text-decoration-color: currentcolor; text-decoration-line: none; text-decoration-style: solid; text-emphasis-color: currentcolor; text-emphasis-position: over right; text-emphasis-style: none; text-indent: 0; text-justify: auto; text-orientation: mixed; text-overflow: clip; text-rendering: auto; text-shadow: none; text-transform: none; text-underline-position: auto; top: auto; touch-action: auto; transform: none; transform-box: borderBox; transform-origin: 50% 50%0; transform-style: flat; transition-delay: 0s; transition-duration: 0s; transition-property: all; transition-timing-function: ease; vertical-align: baseline; visibility: visible; white-space: normal; widows: 2; width: auto; will-change: auto; word-break: normal; word-spacing: normal; word-wrap: normal; writing-mode: horizontalTb; z-index: auto; -webkit-appearance: none; -moz-appearance: none; -ms-appearance: none; appearance: none; margin: 0; } .LiveAreaSection { width: 100%; } .LiveAreaSection .login-option-buybox { display: block; width: 100%; font-size: 17px; line-height: 30px; color: #222; padding-top: 30px; font-family: Harding, Palatino, serif; } .LiveAreaSection .additional-access-options { display: block; font-weight: 700; font-size: 17px; line-height: 30px; color: #222; font-family: Harding, Palatino, serif; } .LiveAreaSection .additional-login > li:not(:first-child)::before { transform: translateY(-50%); content: ""; height: 1rem; position: absolute; top: 50%; left: 0; border-left: 2px solid #999; } .LiveAreaSection .additional-login > li:not(:first-child) { padding-left: 10px; } .LiveAreaSection .additional-login > li { display: inline-block; position: relative; vertical-align: middle; padding-right: 10px; } .BuyBoxSection { display: flex; flex-wrap: wrap; flex: 1; flex-direction: row-reverse; margin: -30px -15px 0; } .BuyBoxSection .box-inner { width: 100%; height: 100%; padding: 30px 5px; display: flex; flex-direction: column; justify-content: space-between; } .BuyBoxSection p { margin: 0; } .BuyBoxSection .readcube-buybox { background-color: #f3f3f3; flex-shrink: 1; flex-grow: 1; flex-basis: 255px; background-clip: content-box; padding: 0 15px; margin-top: 30px; } .BuyBoxSection .subscribe-buybox { background-color: #f3f3f3; flex-shrink: 1; flex-grow: 4; flex-basis: 300px; background-clip: content-box; padding: 0 15px; margin-top: 30px; } .BuyBoxSection .subscribe-buybox-nature-plus { background-color: #f3f3f3; flex-shrink: 1; flex-grow: 4; flex-basis: 100%; background-clip: content-box; padding: 0 15px; margin-top: 30px; } .BuyBoxSection .title-readcube, .BuyBoxSection .title-buybox { display: block; margin: 0; margin-right: 10%; margin-left: 10%; font-size: 24px; line-height: 32px; color: #222; text-align: center; font-family: Harding, Palatino, serif; } .BuyBoxSection .title-asia-buybox { display: block; margin: 0; margin-right: 5%; margin-left: 5%; font-size: 24px; line-height: 32px; color: #222; text-align: center; font-family: Harding, Palatino, serif; } .BuyBoxSection .asia-link, .Link-328123652, .Link-2926870917, .Link-2291679238, .Link-595459207 { color: #069; cursor: pointer; text-decoration: none; font-size: 1.05em; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; line-height: 1.05em6; } .BuyBoxSection .access-readcube { display: block; margin: 0; margin-right: 10%; margin-left: 10%; font-size: 14px; color: #222; padding-top: 10px; text-align: center; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; line-height: 20px; } .BuyBoxSection ul { margin: 0; } .BuyBoxSection .link-usp { display: list-item; margin: 0; margin-left: 20px; padding-top: 6px; list-style-position: inside; } .BuyBoxSection .link-usp span { font-size: 14px; color: #222; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; line-height: 20px; } .BuyBoxSection .access-asia-buybox { display: block; margin: 0; margin-right: 5%; margin-left: 5%; font-size: 14px; color: #222; padding-top: 10px; text-align: center; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; line-height: 20px; } .BuyBoxSection .access-buybox { display: block; margin: 0; margin-right: 10%; margin-left: 10%; font-size: 14px; color: #222; opacity: 0.8px; padding-top: 10px; text-align: center; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; line-height: 20px; } .BuyBoxSection .price-buybox { display: block; font-size: 30px; color: #222; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; padding-top: 30px; text-align: center; } .BuyBoxSection .price-buybox-to { display: block; font-size: 30px; color: #222; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; text-align: center; } .BuyBoxSection .price-info-text { font-size: 16px; padding-right: 10px; color: #222; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; } .BuyBoxSection .price-value { font-size: 30px; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; } .BuyBoxSection .price-per-period { font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; } .BuyBoxSection .price-from { font-size: 14px; padding-right: 10px; color: #222; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; line-height: 20px; } .BuyBoxSection .issue-buybox { display: block; font-size: 13px; text-align: center; color: #222; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; line-height: 19px; } .BuyBoxSection .no-price-buybox { display: block; font-size: 13px; line-height: 18px; text-align: center; padding-right: 10%; padding-left: 10%; padding-bottom: 20px; padding-top: 30px; color: #222; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; } .BuyBoxSection .vat-buybox { display: block; margin-top: 5px; margin-right: 20%; margin-left: 20%; font-size: 11px; color: #222; padding-top: 10px; padding-bottom: 15px; text-align: center; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; line-height: 17px; } .BuyBoxSection .tax-buybox { display: block; width: 100%; color: #222; padding: 20px 16px; text-align: center; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; line-height: NaNpx; } .BuyBoxSection .button-container { display: flex; padding-right: 20px; padding-left: 20px; justify-content: center; } .BuyBoxSection .button-container > * { flex: 1px; } .BuyBoxSection .button-container > a:hover, .Button-505204839:hover, .Button-1078489254:hover, .Button-2737859108:hover { text-decoration: none; } .BuyBoxSection .btn-secondary { background: #fff; } .BuyBoxSection .button-asia { background: #069; border: 1px solid #069; border-radius: 0; cursor: pointer; display: block; padding: 9px; outline: 0; text-align: center; text-decoration: none; min-width: 80px; margin-top: 75px; } .BuyBoxSection .button-label-asia, .ButtonLabel-3869432492, .ButtonLabel-3296148077, .ButtonLabel-1636778223 { display: block; color: #fff; font-size: 17px; line-height: 20px; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; text-align: center; text-decoration: none; cursor: pointer; } .Button-505204839, .Button-1078489254, .Button-2737859108 { background: #069; border: 1px solid #069; border-radius: 0; cursor: pointer; display: block; padding: 9px; outline: 0; text-align: center; text-decoration: none; min-width: 80px; max-width: 320px; margin-top: 20px; } .Button-505204839 .btn-secondary-label, .Button-1078489254 .btn-secondary-label, .Button-2737859108 .btn-secondary-label { color: #069; } .uList-2102244549 { list-style: none; padding: 0; margin: 0; } /* style specs end */</style><div></div></div> <nav class="c-access-options"> <h3 class="c-access-options__heading">Additional access options:</h3> <ul class="c-access-options__list"> <li> <a href="https://idp.nature.com/authorize/natureuser?client_id=grover&redirect_uri=https%3A%2F%2Fwww.nature.com%2Farticles%2Fs41586-022-05248-1" data-track="click" data-track-action="login" data-track-category="article body" data-track-label="link">Log in</a> </li> <li> <a href="https://www.springernature.com/gp/librarians/licensing/license-options" data-track="click" data-track-action="learn-subscription" data-track-category="article body" data-track-label="link">Learn about institutional subscriptions</a> </li> <li> <a href="https://support.nature.com/en/support/home" data-track="click" data-track-action="read our faqs" data-track-category="article body" data-track-label="link">Read our FAQs</a> </li> <li> <a href="https://www.springernature.com/gp/contact" data-track="click" data-track-action="contact customer support" data-track-category="article body" data-track-label="link">Contact customer support</a> </li> </ul> </nav> <div class="u-display-none"> <div class="c-article-section__figure js-c-reading-companion-figures-item" data-test="figure" data-container-section="figure" id="figure-1"><figure><figcaption><b id="Fig1" class="c-article-section__figure-caption" data-test="figure-caption-text">Fig. 1: Using virtual Compton scattering to measure the proton generalized polarizabilities.</b></figcaption><div class="c-article-section__figure-content"><div class="c-article-section__figure-item"><picture><source type="image/webp" srcset="//media.springernature.com/m312/springer-static/image/art%3A10.1038%2Fs41586-022-05248-1/MediaObjects/41586_2022_5248_Fig1_HTML.png?as=webp"><img src="//media.springernature.com/m312/springer-static/image/art%3A10.1038%2Fs41586-022-05248-1/MediaObjects/41586_2022_5248_Fig1_HTML.png" alt="" loading="lazy" width="312" height="192"></picture></div></div></figure></div><div class="c-article-section__figure js-c-reading-companion-figures-item" data-test="figure" data-container-section="figure" id="figure-2"><figure><figcaption><b id="Fig2" class="c-article-section__figure-caption" data-test="figure-caption-text">Fig. 2: Feynman diagrams of photon electroproduction.</b></figcaption><div class="c-article-section__figure-content"><div class="c-article-section__figure-item"><picture><source type="image/webp" srcset="//media.springernature.com/m312/springer-static/image/art%3A10.1038%2Fs41586-022-05248-1/MediaObjects/41586_2022_5248_Fig2_HTML.png?as=webp"><img src="//media.springernature.com/m312/springer-static/image/art%3A10.1038%2Fs41586-022-05248-1/MediaObjects/41586_2022_5248_Fig2_HTML.png" alt="" loading="lazy" width="312" height="205"></picture></div></div></figure></div><div class="c-article-section__figure js-c-reading-companion-figures-item" data-test="figure" data-container-section="figure" id="figure-3"><figure><figcaption><b id="Fig3" class="c-article-section__figure-caption" data-test="figure-caption-text">Fig. 3: Cross-section measurements of the VCS reaction.</b></figcaption><div class="c-article-section__figure-content"><div class="c-article-section__figure-item"><picture><source type="image/webp" srcset="//media.springernature.com/m312/springer-static/image/art%3A10.1038%2Fs41586-022-05248-1/MediaObjects/41586_2022_5248_Fig3_HTML.png?as=webp"><img src="//media.springernature.com/m312/springer-static/image/art%3A10.1038%2Fs41586-022-05248-1/MediaObjects/41586_2022_5248_Fig3_HTML.png" alt="" loading="lazy" width="312" height="238"></picture></div></div></figure></div><div class="c-article-section__figure js-c-reading-companion-figures-item" data-test="figure" data-container-section="figure" id="figure-4"><figure><figcaption><b id="Fig4" class="c-article-section__figure-caption" data-test="figure-caption-text">Fig. 4: The generalized polarizabilities of the proton.</b></figcaption><div class="c-article-section__figure-content"><div class="c-article-section__figure-item"><picture><source type="image/webp" srcset="//media.springernature.com/m312/springer-static/image/art%3A10.1038%2Fs41586-022-05248-1/MediaObjects/41586_2022_5248_Fig4_HTML.png?as=webp"><img src="//media.springernature.com/m312/springer-static/image/art%3A10.1038%2Fs41586-022-05248-1/MediaObjects/41586_2022_5248_Fig4_HTML.png" alt="" loading="lazy" width="312" height="225"></picture></div></div></figure></div> </div> <section aria-labelledby="inline-recommendations" data-title="Inline Recommendations" class="c-article-recommendations" data-track-component="inline-recommendations"> <h3 class="c-article-recommendations-title" id="inline-recommendations">Similar content being viewed by others</h3> <div class="c-article-recommendations-list"> <div class="c-article-recommendations-list__item"> <article class="c-article-recommendations-card" itemscope itemtype="http://schema.org/ScholarlyArticle"> <div class="c-article-recommendations-card__img"><img src="https://media.springernature.com/w215h120/springer-static/image/art%3A10.1038%2Fs41567-021-01198-z/MediaObjects/41567_2021_1198_Fig1_HTML.png" loading="lazy" alt=""></div> <div class="c-article-recommendations-card__main"> <h3 class="c-article-recommendations-card__heading" itemprop="name headline"> <a class="c-article-recommendations-card__link" itemprop="url" href="https://www.nature.com/articles/s41567-021-01198-z?fromPaywallRec=true" data-track="select_recommendations_1" data-track-context="inline recommendations" data-track-action="click recommendations inline - 1" data-track-label="10.1038/s41567-021-01198-z">Measurement of the proton spin structure at long distances </a> </h3> <div class="c-article-meta-recommendations" data-test="recommendation-info"> <span class="c-article-meta-recommendations__item-type">Article</span> <span class="c-article-meta-recommendations__date">12 April 2021</span> </div> </div> </article> </div> <div class="c-article-recommendations-list__item"> <article class="c-article-recommendations-card" itemscope itemtype="http://schema.org/ScholarlyArticle"> <div class="c-article-recommendations-card__img"><img src="https://media.springernature.com/w215h120/springer-static/image/art%3A10.1038%2Fs41567-022-01781-y/MediaObjects/41567_2022_1781_Fig1_HTML.png" loading="lazy" alt=""></div> <div class="c-article-recommendations-card__main"> <h3 class="c-article-recommendations-card__heading" itemprop="name headline"> <a class="c-article-recommendations-card__link" itemprop="url" href="https://www.nature.com/articles/s41567-022-01781-y?fromPaywallRec=true" data-track="select_recommendations_2" data-track-context="inline recommendations" data-track-action="click recommendations inline - 2" data-track-label="10.1038/s41567-022-01781-y">Proton spin structure and generalized polarizabilities in the strong quantum chromodynamics regime </a> </h3> <div class="c-article-meta-recommendations" data-test="recommendation-info"> <span class="c-article-meta-recommendations__item-type">Article</span> <span class="c-article-meta-recommendations__date">13 October 2022</span> </div> </div> </article> </div> <div class="c-article-recommendations-list__item"> <article class="c-article-recommendations-card" itemscope itemtype="http://schema.org/ScholarlyArticle"> <div class="c-article-recommendations-card__img"><img src="https://media.springernature.com/w215h120/springer-static/image/art%3A10.1038%2Fs42254-020-00248-4/MediaObjects/42254_2020_248_Fig1_HTML.png" loading="lazy" alt=""></div> <div class="c-article-recommendations-card__main"> <h3 class="c-article-recommendations-card__heading" itemprop="name headline"> <a class="c-article-recommendations-card__link" itemprop="url" href="https://www.nature.com/articles/s42254-020-00248-4?fromPaywallRec=true" data-track="select_recommendations_3" data-track-context="inline recommendations" data-track-action="click recommendations inline - 3" data-track-label="10.1038/s42254-020-00248-4">What we know and what we don’t know about the proton spin after 30 years </a> </h3> <div class="c-article-meta-recommendations" data-test="recommendation-info"> <span class="c-article-meta-recommendations__item-type">Article</span> <span class="c-article-meta-recommendations__date">23 November 2020</span> </div> </div> </article> </div> </div> </section> <script> window.dataLayer = window.dataLayer || []; window.dataLayer.push({ recommendations: { recommender: 'semantic', model: 'specter', policy_id: 'NA', timestamp: 1740506064, embedded_user: 'null' } }); </script> <div class="u-mt-32"> <section data-title="Data availability"><div class="c-article-section" id="data-availability-section"><h2 class="c-article-section__title js-section-title js-c-reading-companion-sections-item" id="data-availability">Data availability</h2><div class="c-article-section__content" id="data-availability-content"> <p>The raw data from the experiment are archived in Jefferson Laboratory’s mass storage silo and at Temple University, Department of Physics. The filtered data are archived at Temple University. The data are available from the authors on request.</p> </div></div></section><section data-title="Code availability"><div class="c-article-section" id="code-availability-section"><h2 class="c-article-section__title js-section-title js-c-reading-companion-sections-item" id="code-availability">Code availability</h2><div class="c-article-section__content" id="code-availability-content"> <p>The data analysis uses the standard C++ ROOT framework, which was developed at CERN and is freely available at <a href="https://root.cern.ch">https://root.cern.ch</a>. The simulation of the experiment was generated with the Jefferson Lab simulation code SIMC. The DR fit was done using the DR code developed by B. Pasquini<sup><a data-track="click" data-track-action="reference anchor" data-track-label="link" data-test="citation-ref" title="Pasquini, B., Drechsel, D., Gorchtein, M., Metz, A. & Vanderhaeghen, M. Dispersion relation formalism for virtual Compton scattering and the generalized polarizabilities of the nucleon. Phys. Rev. C 62, 052201(R) (2000)." href="#ref-CR14" id="ref-link-section-d78383938e6345">14</a>,<a data-track="click" data-track-action="reference anchor" data-track-label="link" data-test="citation-ref" title="Pasquini, B., Gorchtein, M., Drechsel, D., Metz, A. & Vanderhaeghen, M. Dispersion relation formalism for virtual Compton scattering off the proton. Eur. Phys. J. A 11, 185–208 (2001)." href="#ref-CR15" id="ref-link-section-d78383938e6345_1">15</a>,<a data-track="click" data-track-action="reference anchor" data-track-label="link" data-test="citation-ref" aria-label="Reference 16" title="Drechsel, D., Pasquini, B. & Vanderhaeghen, M. Dispersion relations in real and virtual Compton scattering. Phys. Rep. 378, 99–205 (2003)." href="/articles/s41586-022-05248-1#ref-CR16" id="ref-link-section-d78383938e6348">16</a></sup>. The computer codes used for the data analysis are available on request.</p> </div></div></section><div id="MagazineFulltextArticleBodySuffix"><section aria-labelledby="Bib1" data-title="References"><div class="c-article-section" id="Bib1-section"><h2 class="c-article-section__title js-section-title js-c-reading-companion-sections-item" id="Bib1">References</h2><div class="c-article-section__content" id="Bib1-content"><div data-container-section="references"><ol class="c-article-references" data-track-component="outbound reference" data-track-context="references section"><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="1."><p class="c-article-references__text" id="ref-CR1">Zyla, P. A. et al. Review of particle physics. <i>Prog. Theor. Exp. Phys.</i> <b>2020</b>, 083C01 (2020).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1093/ptep/ptaa104" data-track-item_id="10.1093/ptep/ptaa104" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1093%2Fptep%2Fptaa104" aria-label="Article reference 1" data-doi="10.1093/ptep/ptaa104">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BB3MXhvVyhtb7P" aria-label="CAS reference 1">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 1" href="http://scholar.google.com/scholar_lookup?&title=Review%20of%20particle%20physics&journal=Prog.%20Theor.%20Exp.%20Phys.&doi=10.1093%2Fptep%2Fptaa104&volume=2020&publication_year=2020&author=Zyla%2CPA"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="2."><p class="c-article-references__text" id="ref-CR2">Fonvieille, H., Pasquini, B. & Sparveris, N. Virtual Compton scattering and nucleon generalized polarizabilities. <i>Prog. Part. Nucl. Phys.</i> <b>113</b>, 103754 (2020).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1016/j.ppnp.2020.103754" data-track-item_id="10.1016/j.ppnp.2020.103754" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1016%2Fj.ppnp.2020.103754" aria-label="Article reference 2" data-doi="10.1016/j.ppnp.2020.103754">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BB3cXhs1Kqtb0%3D" aria-label="CAS reference 2">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 2" href="http://scholar.google.com/scholar_lookup?&title=Virtual%20Compton%20scattering%20and%20nucleon%20generalized%20polarizabilities&journal=Prog.%20Part.%20Nucl.%20Phys.&doi=10.1016%2Fj.ppnp.2020.103754&volume=113&publication_year=2020&author=Fonvieille%2CH&author=Pasquini%2CB&author=Sparveris%2CN"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="3."><p class="c-article-references__text" id="ref-CR3">Wilson, K. G. Confinement of quarks. <i>Phys. Rev. D</i> <b>10</b>, 2445 (1974).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1103/PhysRevD.10.2445" data-track-item_id="10.1103/PhysRevD.10.2445" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1103%2FPhysRevD.10.2445" aria-label="Article reference 3" data-doi="10.1103/PhysRevD.10.2445">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DyaE2MXnvVSktQ%3D%3D" aria-label="CAS reference 3">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=1974PhRvD..10.2445W" aria-label="ADS reference 3">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 3" href="http://scholar.google.com/scholar_lookup?&title=Confinement%20of%20quarks&journal=Phys.%20Rev.%20D&doi=10.1103%2FPhysRevD.10.2445&volume=10&publication_year=1974&author=Wilson%2CKG"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="4."><p class="c-article-references__text" id="ref-CR4">Weinberg, S. Nuclear forces from chiral lagrangians. <i>Phys. Lett. B</i> <b>251</b>, 288–292 (1990).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1016/0370-2693(90)90938-3" data-track-item_id="10.1016/0370-2693(90)90938-3" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1016%2F0370-2693%2890%2990938-3" aria-label="Article reference 4" data-doi="10.1016/0370-2693(90)90938-3">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DyaK3MXltV2ruw%3D%3D" aria-label="CAS reference 4">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=1990PhLB..251..288W" aria-label="ADS reference 4">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 4" href="http://scholar.google.com/scholar_lookup?&title=Nuclear%20forces%20from%20chiral%20lagrangians&journal=Phys.%20Lett.%20B&doi=10.1016%2F0370-2693%2890%2990938-3&volume=251&pages=288-292&publication_year=1990&author=Weinberg%2CS"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="5."><p class="c-article-references__text" id="ref-CR5">Weinberg, S. Effective chiral lagrangians for nucleon-pion interactions and nuclear forces. <i>Nucl. Phys. B</i> <b>363</b>, 3–18 (1991).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1016/0550-3213(91)90231-L" data-track-item_id="10.1016/0550-3213(91)90231-L" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1016%2F0550-3213%2891%2990231-L" aria-label="Article reference 5" data-doi="10.1016/0550-3213(91)90231-L">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=1991NuPhB.363....3W" aria-label="ADS reference 5">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 5" href="http://scholar.google.com/scholar_lookup?&title=Effective%20chiral%20lagrangians%20for%20nucleon-pion%20interactions%20and%20nuclear%20forces&journal=Nucl.%20Phys.%20B&doi=10.1016%2F0550-3213%2891%2990231-L&volume=363&pages=3-18&publication_year=1991&author=Weinberg%2CS"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="6."><p class="c-article-references__text" id="ref-CR6">Weinberg, S. Three-body interactions among nucleons and pions. <i>Phys. Lett. B</i> <b>295</b>, 114–121 (1992).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1016/0370-2693(92)90099-P" data-track-item_id="10.1016/0370-2693(92)90099-P" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1016%2F0370-2693%2892%2990099-P" aria-label="Article reference 6" data-doi="10.1016/0370-2693(92)90099-P">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DyaK3sXks12ksQ%3D%3D" aria-label="CAS reference 6">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=1992PhLB..295..114W" aria-label="ADS reference 6">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 6" href="http://scholar.google.com/scholar_lookup?&title=Three-body%20interactions%20among%20nucleons%20and%20pions&journal=Phys.%20Lett.%20B&doi=10.1016%2F0370-2693%2892%2990099-P&volume=295&pages=114-121&publication_year=1992&author=Weinberg%2CS"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="7."><p class="c-article-references__text" id="ref-CR7">Pasquini, B. & Vanderhaeghen, M. Dispersion theory in electromagnetic interactions. <i>Annu. Rev. Nucl. Part. Sci.</i> <b>68</b>, 75–103 (2018).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1146/annurev-nucl-101917-020843" data-track-item_id="10.1146/annurev-nucl-101917-020843" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1146%2Fannurev-nucl-101917-020843" aria-label="Article reference 7" data-doi="10.1146/annurev-nucl-101917-020843">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC1cXhtVWmsrfL" aria-label="CAS reference 7">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2018ARNPS..68...75P" aria-label="ADS reference 7">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 7" href="http://scholar.google.com/scholar_lookup?&title=Dispersion%20theory%20in%20electromagnetic%20interactions&journal=Annu.%20Rev.%20Nucl.%20Part.%20Sci.&doi=10.1146%2Fannurev-nucl-101917-020843&volume=68&pages=75-103&publication_year=2018&author=Pasquini%2CB&author=Vanderhaeghen%2CM"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="8."><p class="c-article-references__text" id="ref-CR8">Roche, J. et al. First determination of generalized polarizabilities of the proton by a virtual Compton scattering experiment. <i>Phys. Rev. Lett.</i> <b>85</b>, 708–711 (2000).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1103/PhysRevLett.85.708" data-track-item_id="10.1103/PhysRevLett.85.708" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1103%2FPhysRevLett.85.708" aria-label="Article reference 8" data-doi="10.1103/PhysRevLett.85.708">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BD3cXltVWhtbc%3D" aria-label="CAS reference 8">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=10991379" aria-label="PubMed reference 8">PubMed</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2000PhRvL..85..708R" aria-label="ADS reference 8">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 8" href="http://scholar.google.com/scholar_lookup?&title=First%20determination%20of%20generalized%20polarizabilities%20of%20the%20proton%20by%20a%20virtual%20Compton%20scattering%20experiment&journal=Phys.%20Rev.%20Lett.&doi=10.1103%2FPhysRevLett.85.708&volume=85&pages=708-711&publication_year=2000&author=Roche%2CJ"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="9."><p class="c-article-references__text" id="ref-CR9">Janssens, P. et al. A new measurement of the structure functions P<sub>LL</sub> - P<sub>TT</sub>/<i>ε</i> and P<sub>LT</sub> in virtual Compton scattering at <i>Q</i><sup>2</sup> = 0.33 (GeV/c)<sup>2</sup>. <i>Eur. Phys. J.</i> <b>A37</b>, 1–8 (2008).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1140/epja/i2008-10609-3" data-track-item_id="10.1140/epja/i2008-10609-3" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1140%2Fepja%2Fi2008-10609-3" aria-label="Article reference 9" data-doi="10.1140/epja/i2008-10609-3">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2008EPJA...37....1J" aria-label="ADS reference 9">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 9" href="http://scholar.google.com/scholar_lookup?&title=A%20new%20measurement%20of%20the%20structure%20functions%20PLL%20-%20PTT%2F%CE%B5%20and%20PLT%20in%20virtual%20Compton%20scattering%20at%20Q2%20%3D%200.33%20%28GeV%2Fc%292&journal=Eur.%20Phys.%20J.&doi=10.1140%2Fepja%2Fi2008-10609-3&volume=A37&pages=1-8&publication_year=2008&author=Janssens%2CP"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="10."><p class="c-article-references__text" id="ref-CR10">Beričič, J. et al. New insight in the <i>Q</i><sup>2</sup> dependence of proton generalized polarizabilities. <i>Phys. Rev. Lett.</i> <b>123</b>, 192302 (2019).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1103/PhysRevLett.123.192302" data-track-item_id="10.1103/PhysRevLett.123.192302" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1103%2FPhysRevLett.123.192302" aria-label="Article reference 10" data-doi="10.1103/PhysRevLett.123.192302">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=31765208" aria-label="PubMed reference 10">PubMed</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2019PhRvL.123s2302B" aria-label="ADS reference 10">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 10" href="http://scholar.google.com/scholar_lookup?&title=New%20insight%20in%20the%20Q2%20dependence%20of%20proton%20generalized%20polarizabilities&journal=Phys.%20Rev.%20Lett.&doi=10.1103%2FPhysRevLett.123.192302&volume=123&publication_year=2019&author=Beri%C4%8Di%C4%8D%2CJ"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="11."><p class="c-article-references__text" id="ref-CR11">Fonvieille, H. et al. Measurement of the generalized polarizabilities of the proton at intermediate <i>Q</i><sup>2</sup>. <i>Phys. Rev. C</i> <b>103</b>, 025205 (2021).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1103/PhysRevC.103.025205" data-track-item_id="10.1103/PhysRevC.103.025205" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1103%2FPhysRevC.103.025205" aria-label="Article reference 11" data-doi="10.1103/PhysRevC.103.025205">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BB3MXmslWgs7w%3D" aria-label="CAS reference 11">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2021PhRvC.103b5205F" aria-label="ADS reference 11">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 11" href="http://scholar.google.com/scholar_lookup?&title=Measurement%20of%20the%20generalized%20polarizabilities%20of%20the%20proton%20at%20intermediate%20Q2&journal=Phys.%20Rev.%20C&doi=10.1103%2FPhysRevC.103.025205&volume=103&publication_year=2021&author=Fonvieille%2CH"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="12."><p class="c-article-references__text" id="ref-CR12">Laveissiere, G. et al. Measurement of the generalized polarizabilities of the proton in virtual Compton scattering at <i>Q</i><sup>2</sup> = 0.92 and 1.76 GeV<sup>2</sup>. <i>Phys. Rev. Lett.</i> <b>93</b>, 122001 (2004).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1103/PhysRevLett.93.122001" data-track-item_id="10.1103/PhysRevLett.93.122001" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1103%2FPhysRevLett.93.122001" aria-label="Article reference 12" data-doi="10.1103/PhysRevLett.93.122001">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:STN:280:DC%2BD2cvotVGlsg%3D%3D" aria-label="CAS reference 12">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=15447252" aria-label="PubMed reference 12">PubMed</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2004PhRvL..93l2001L" aria-label="ADS reference 12">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 12" href="http://scholar.google.com/scholar_lookup?&title=Measurement%20of%20the%20generalized%20polarizabilities%20of%20the%20proton%20in%20virtual%20Compton%20scattering%20at%20Q2%20%3D%200.92%20and%201.76%20GeV2&journal=Phys.%20Rev.%20Lett.&doi=10.1103%2FPhysRevLett.93.122001&volume=93&publication_year=2004&author=Laveissiere%2CG"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="13."><p class="c-article-references__text" id="ref-CR13">Fonvieille, H. et al. Virtual Compton scattering and the generalized polarizabilities of the proton at <i>Q</i><sup>2</sup> = 0.92 and 1.76 GeV<sup>2</sup>. <i>Phys. Rev. C</i> <b>86</b>, 015210 (2012).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1103/PhysRevC.86.015210" data-track-item_id="10.1103/PhysRevC.86.015210" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1103%2FPhysRevC.86.015210" aria-label="Article reference 13" data-doi="10.1103/PhysRevC.86.015210">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2012PhRvC..86a5210F" aria-label="ADS reference 13">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 13" href="http://scholar.google.com/scholar_lookup?&title=Virtual%20Compton%20scattering%20and%20the%20generalized%20polarizabilities%20of%20the%20proton%20at%20Q2%20%3D%200.92%20and%201.76%20GeV2&journal=Phys.%20Rev.%20C&doi=10.1103%2FPhysRevC.86.015210&volume=86&publication_year=2012&author=Fonvieille%2CH"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="14."><p class="c-article-references__text" id="ref-CR14">Pasquini, B., Drechsel, D., Gorchtein, M., Metz, A. & Vanderhaeghen, M. Dispersion relation formalism for virtual Compton scattering and the generalized polarizabilities of the nucleon. <i>Phys. Rev. C</i> <b>62</b>, 052201(R) (2000).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1103/PhysRevC.62.052201" data-track-item_id="10.1103/PhysRevC.62.052201" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1103%2FPhysRevC.62.052201" aria-label="Article reference 14" data-doi="10.1103/PhysRevC.62.052201">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2000PhRvC..62e2201P" aria-label="ADS reference 14">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 14" href="http://scholar.google.com/scholar_lookup?&title=Dispersion%20relation%20formalism%20for%20virtual%20Compton%20scattering%20and%20the%20generalized%20polarizabilities%20of%20the%20nucleon&journal=Phys.%20Rev.%20C&doi=10.1103%2FPhysRevC.62.052201&volume=62&publication_year=2000&author=Pasquini%2CB&author=Drechsel%2CD&author=Gorchtein%2CM&author=Metz%2CA&author=Vanderhaeghen%2CM"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="15."><p class="c-article-references__text" id="ref-CR15">Pasquini, B., Gorchtein, M., Drechsel, D., Metz, A. & Vanderhaeghen, M. Dispersion relation formalism for virtual Compton scattering off the proton. <i>Eur. Phys. J. A</i> <b>11</b>, 185–208 (2001).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="noopener" data-track-label="10.1007/s100500170084" data-track-item_id="10.1007/s100500170084" data-track-value="article reference" data-track-action="article reference" href="https://link.springer.com/doi/10.1007/s100500170084" aria-label="Article reference 15" data-doi="10.1007/s100500170084">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BD3MXmsFKmtbs%3D" aria-label="CAS reference 15">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2001EPJA...11..185P" aria-label="ADS reference 15">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 15" href="http://scholar.google.com/scholar_lookup?&title=Dispersion%20relation%20formalism%20for%20virtual%20Compton%20scattering%20off%20the%20proton&journal=Eur.%20Phys.%20J.%20A&doi=10.1007%2Fs100500170084&volume=11&pages=185-208&publication_year=2001&author=Pasquini%2CB&author=Gorchtein%2CM&author=Drechsel%2CD&author=Metz%2CA&author=Vanderhaeghen%2CM"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="16."><p class="c-article-references__text" id="ref-CR16">Drechsel, D., Pasquini, B. & Vanderhaeghen, M. Dispersion relations in real and virtual Compton scattering. <i>Phys. Rep.</i> <b>378</b>, 99–205 (2003).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1016/S0370-1573(02)00636-1" data-track-item_id="10.1016/S0370-1573(02)00636-1" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1016%2FS0370-1573%2802%2900636-1" aria-label="Article reference 16" data-doi="10.1016/S0370-1573(02)00636-1">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BD3sXisVOmsb8%3D" aria-label="CAS reference 16">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2003PhR...378...99D" aria-label="ADS reference 16">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 16" href="http://scholar.google.com/scholar_lookup?&title=Dispersion%20relations%20in%20real%20and%20virtual%20Compton%20scattering&journal=Phys.%20Rep.&doi=10.1016%2FS0370-1573%2802%2900636-1&volume=378&pages=99-205&publication_year=2003&author=Drechsel%2CD&author=Pasquini%2CB&author=Vanderhaeghen%2CM"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="17."><p class="c-article-references__text" id="ref-CR17">Lensky, V., Pascalutsa, V. & Vanderhaeghen, M. Generalized polarizabilities of the nucleon in baryon chiral perturbation theory. <i>Eur. Phys. J. C</i> <b>77</b>, 119 (2017).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1140/epjc/s10052-017-4652-9" data-track-item_id="10.1140/epjc/s10052-017-4652-9" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1140%2Fepjc%2Fs10052-017-4652-9" aria-label="Article reference 17" data-doi="10.1140/epjc/s10052-017-4652-9">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2017EPJC...77..119L" aria-label="ADS reference 17">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 17" href="http://scholar.google.com/scholar_lookup?&title=Generalized%20polarizabilities%20of%20the%20nucleon%20in%20baryon%20chiral%20perturbation%20theory&journal=Eur.%20Phys.%20J.%20C&doi=10.1140%2Fepjc%2Fs10052-017-4652-9&volume=77&publication_year=2017&author=Lensky%2CV&author=Pascalutsa%2CV&author=Vanderhaeghen%2CM"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="18."><p class="c-article-references__text" id="ref-CR18">Hemmert, T. R., Holstein, B., Knochlein, G. & Scherer, S. Virtual Compton scattering off the nucleon in chiral perturbation theory. <i>Phys. Rev. D</i> <b>55</b>, 2630 (1997).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1103/PhysRevD.55.2630" data-track-item_id="10.1103/PhysRevD.55.2630" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1103%2FPhysRevD.55.2630" aria-label="Article reference 18" data-doi="10.1103/PhysRevD.55.2630">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DyaK2sXhs1Gqu7w%3D" aria-label="CAS reference 18">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=1997PhRvD..55.2630H" aria-label="ADS reference 18">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 18" href="http://scholar.google.com/scholar_lookup?&title=Virtual%20Compton%20scattering%20off%20the%20nucleon%20in%20chiral%20perturbation%20theory&journal=Phys.%20Rev.%20D&doi=10.1103%2FPhysRevD.55.2630&volume=55&publication_year=1997&author=Hemmert%2CTR&author=Holstein%2CB&author=Knochlein%2CG&author=Scherer%2CS"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="19."><p class="c-article-references__text" id="ref-CR19">Hemmert, T. R., Holstein, B., Knochlein, G. & Scherer, S. Generalized polarizabilities and the chiral structure of the nucleon. <i>Phys. Rev. Lett.</i> <b>79</b>, 22 (1997).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1103/PhysRevLett.79.22" data-track-item_id="10.1103/PhysRevLett.79.22" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1103%2FPhysRevLett.79.22" aria-label="Article reference 19" data-doi="10.1103/PhysRevLett.79.22">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DyaK2sXktlequrY%3D" aria-label="CAS reference 19">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=1997PhRvL..79...22H" aria-label="ADS reference 19">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 19" href="http://scholar.google.com/scholar_lookup?&title=Generalized%20polarizabilities%20and%20the%20chiral%20structure%20of%20the%20nucleon&journal=Phys.%20Rev.%20Lett.&doi=10.1103%2FPhysRevLett.79.22&volume=79&publication_year=1997&author=Hemmert%2CTR&author=Holstein%2CB&author=Knochlein%2CG&author=Scherer%2CS"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="20."><p class="c-article-references__text" id="ref-CR20">Hemmert, T. R., Holstein, B., Knochlein, G. & Drechsel, D. Generalized polarizabilities of the nucleon in chiral effective theories. <i>Phys. Rev. D</i> <b>62</b>, 014013 (2000).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1103/PhysRevD.62.014013" data-track-item_id="10.1103/PhysRevD.62.014013" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1103%2FPhysRevD.62.014013" aria-label="Article reference 20" data-doi="10.1103/PhysRevD.62.014013">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2000PhRvD..62a4013H" aria-label="ADS reference 20">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 20" href="http://scholar.google.com/scholar_lookup?&title=Generalized%20polarizabilities%20of%20the%20nucleon%20in%20chiral%20effective%20theories&journal=Phys.%20Rev.%20D&doi=10.1103%2FPhysRevD.62.014013&volume=62&publication_year=2000&author=Hemmert%2CTR&author=Holstein%2CB&author=Knochlein%2CG&author=Drechsel%2CD"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="21."><p class="c-article-references__text" id="ref-CR21">Kao, C. W. & Vanderhaeghen, M. Generalized spin polarizabilities of the nucleon in heavy baryon chiral perturbation theory at next-to-leading order. <i>Phys. Rev. Lett.</i> <b>89</b>, 272002 (2002).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1103/PhysRevLett.89.272002" data-track-item_id="10.1103/PhysRevLett.89.272002" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1103%2FPhysRevLett.89.272002" aria-label="Article reference 21" data-doi="10.1103/PhysRevLett.89.272002">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=12513195" aria-label="PubMed reference 21">PubMed</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2002PhRvL..89A2002K" aria-label="ADS reference 21">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 21" href="http://scholar.google.com/scholar_lookup?&title=Generalized%20spin%20polarizabilities%20of%20the%20nucleon%20in%20heavy%20baryon%20chiral%20perturbation%20theory%20at%20next-to-leading%20order&journal=Phys.%20Rev.%20Lett.&doi=10.1103%2FPhysRevLett.89.272002&volume=89&publication_year=2002&author=Kao%2CCW&author=Vanderhaeghen%2CM"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="22."><p class="c-article-references__text" id="ref-CR22">Kao, C. W., Pasquini, B. & Vanderhaeghen, M. New predictions for generalized spin polarizabilities from heavy baryon chiral perturbation theory. <i>Phys. Rev. D</i> <b>92</b>, 119906 (2015).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1103/PhysRevD.92.119906" data-track-item_id="10.1103/PhysRevD.92.119906" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1103%2FPhysRevD.92.119906" aria-label="Article reference 22" data-doi="10.1103/PhysRevD.92.119906">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2015PhRvD..92k9906K" aria-label="ADS reference 22">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 22" href="http://scholar.google.com/scholar_lookup?&title=New%20predictions%20for%20generalized%20spin%20polarizabilities%20from%20heavy%20baryon%20chiral%20perturbation%20theory&journal=Phys.%20Rev.%20D&doi=10.1103%2FPhysRevD.92.119906&volume=92&publication_year=2015&author=Kao%2CCW&author=Pasquini%2CB&author=Vanderhaeghen%2CM"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="23."><p class="c-article-references__text" id="ref-CR23">Metz, A. & Drechsel, D. Generalized polarizabilities of the nucleon studied in the linear sigma model. <i>Z. Phys. A</i> <b>356</b>, 351–357 (1996).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="noopener" data-track-label="10.1007/s002180050188" data-track-item_id="10.1007/s002180050188" data-track-value="article reference" data-track-action="article reference" href="https://link.springer.com/doi/10.1007/s002180050188" aria-label="Article reference 23" data-doi="10.1007/s002180050188">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DyaK2sXltV2qsQ%3D%3D" aria-label="CAS reference 23">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=1996ZPhyA.356..351M" aria-label="ADS reference 23">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 23" href="http://scholar.google.com/scholar_lookup?&title=Generalized%20polarizabilities%20of%20the%20nucleon%20studied%20in%20the%20linear%20sigma%20model&journal=Z.%20Phys.%20A&doi=10.1007%2Fs002180050188&volume=356&pages=351-357&publication_year=1996&author=Metz%2CA&author=Drechsel%2CD"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="24."><p class="c-article-references__text" id="ref-CR24">Metz, A. & Drechsel, D. Generalized polarizabilities of the nucleon studied in the linear sigma model (II). <i>Z. Phys. A</i> <b>359</b>, 165–172 (1997).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="noopener" data-track-label="10.1007/s002180050384" data-track-item_id="10.1007/s002180050384" data-track-value="article reference" data-track-action="article reference" href="https://link.springer.com/doi/10.1007/s002180050384" aria-label="Article reference 24" data-doi="10.1007/s002180050384">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DyaK2sXntVGht7Y%3D" aria-label="CAS reference 24">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=1997ZPhyA.359..165M" aria-label="ADS reference 24">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 24" href="http://scholar.google.com/scholar_lookup?&title=Generalized%20polarizabilities%20of%20the%20nucleon%20studied%20in%20the%20linear%20sigma%20model%20%28II%29&journal=Z.%20Phys.%20A&doi=10.1007%2Fs002180050384&volume=359&pages=165-172&publication_year=1997&author=Metz%2CA&author=Drechsel%2CD"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="25."><p class="c-article-references__text" id="ref-CR25">Korchin, A. & Scholten, O. Nucleon polarizabilities in virtual Compton scattering. <i>Phys. Rev. C</i> <b>58</b>, 1098 (1998).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1103/PhysRevC.58.1098" data-track-item_id="10.1103/PhysRevC.58.1098" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1103%2FPhysRevC.58.1098" aria-label="Article reference 25" data-doi="10.1103/PhysRevC.58.1098">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DyaK1cXkvVClsLo%3D" aria-label="CAS reference 25">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=1998PhRvC..58.1098K" aria-label="ADS reference 25">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 25" href="http://scholar.google.com/scholar_lookup?&title=Nucleon%20polarizabilities%20in%20virtual%20Compton%20scattering&journal=Phys.%20Rev.%20C&doi=10.1103%2FPhysRevC.58.1098&volume=58&publication_year=1998&author=Korchin%2CA&author=Scholten%2CO"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="26."><p class="c-article-references__text" id="ref-CR26">Pasquini, B. & Salme, G. Nucleon generalized polarizabilities within a relativistic constituent quark model. <i>Phys. Rev. C</i> <b>57</b>, 2589 (1998).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1103/PhysRevC.57.2589" data-track-item_id="10.1103/PhysRevC.57.2589" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1103%2FPhysRevC.57.2589" aria-label="Article reference 26" data-doi="10.1103/PhysRevC.57.2589">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DyaK1cXislWnt7w%3D" aria-label="CAS reference 26">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=1998PhRvC..57.2589P" aria-label="ADS reference 26">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 26" href="http://scholar.google.com/scholar_lookup?&title=Nucleon%20generalized%20polarizabilities%20within%20a%20relativistic%20constituent%20quark%20model&journal=Phys.%20Rev.%20C&doi=10.1103%2FPhysRevC.57.2589&volume=57&publication_year=1998&author=Pasquini%2CB&author=Salme%2CG"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="27."><p class="c-article-references__text" id="ref-CR27">Liu, G. Q., Thomas, A. W. & Guichon, P. A. M. Virtual Compton scattering from the proton and the properties of nucleon excited states. <i>Aust. J. Phys.</i> <b>49</b>, 905–918 (1996).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1071/PH960905" data-track-item_id="10.1071/PH960905" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1071%2FPH960905" aria-label="Article reference 27" data-doi="10.1071/PH960905">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DyaK28XlvFOhsrc%3D" aria-label="CAS reference 27">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=1996AuJPh..49..905L" aria-label="ADS reference 27">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 27" href="http://scholar.google.com/scholar_lookup?&title=Virtual%20Compton%20scattering%20from%20the%20proton%20and%20the%20properties%20of%20nucleon%20excited%20states&journal=Aust.%20J.%20Phys.&doi=10.1071%2FPH960905&volume=49&pages=905-918&publication_year=1996&author=Liu%2CGQ&author=Thomas%2CAW&author=Guichon%2CPAM"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="28."><p class="c-article-references__text" id="ref-CR28">Pasquini, B., Scherer, S. & Drechsel, D. Generalized polarizabilities of the proton in a constituent quark model revisited. <i>Phys. Rev. C</i> <b>63</b>, 025205 (2001).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1103/PhysRevC.63.025205" data-track-item_id="10.1103/PhysRevC.63.025205" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1103%2FPhysRevC.63.025205" aria-label="Article reference 28" data-doi="10.1103/PhysRevC.63.025205">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2001PhRvC..63b5205P" aria-label="ADS reference 28">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 28" href="http://scholar.google.com/scholar_lookup?&title=Generalized%20polarizabilities%20of%20the%20proton%20in%20a%20constituent%20quark%20model%20revisited&journal=Phys.%20Rev.%20C&doi=10.1103%2FPhysRevC.63.025205&volume=63&publication_year=2001&author=Pasquini%2CB&author=Scherer%2CS&author=Drechsel%2CD"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="29."><p class="c-article-references__text" id="ref-CR29">Gorchtein, M., Lorce, C., Pasquini, B. & Vanderhaeghen, M. Light-front interpretation of proton generalized polarizabilities. <i>Phys. Rev. Lett.</i> <b>104</b>, 112001 (2010).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1103/PhysRevLett.104.112001" data-track-item_id="10.1103/PhysRevLett.104.112001" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1103%2FPhysRevLett.104.112001" aria-label="Article reference 29" data-doi="10.1103/PhysRevLett.104.112001">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:STN:280:DC%2BC3c3jslyiuw%3D%3D" aria-label="CAS reference 29">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=20366465" aria-label="PubMed reference 29">PubMed</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2010PhRvL.104k2001G" aria-label="ADS reference 29">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 29" href="http://scholar.google.com/scholar_lookup?&title=Light-front%20interpretation%20of%20proton%20generalized%20polarizabilities&journal=Phys.%20Rev.%20Lett.&doi=10.1103%2FPhysRevLett.104.112001&volume=104&publication_year=2010&author=Gorchtein%2CM&author=Lorce%2CC&author=Pasquini%2CB&author=Vanderhaeghen%2CM"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="30."><p class="c-article-references__text" id="ref-CR30">Atac, H. et al. Measurement of the neutron charge radius and the role of its constituents. <i>Nat. Commun.</i> <b>12</b>, 1759 (2021).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1038/s41467-021-22028-z" data-track-item_id="10.1038/s41467-021-22028-z" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1038%2Fs41467-021-22028-z" aria-label="Article reference 30" data-doi="10.1038/s41467-021-22028-z">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BB3MXntl2rtb0%3D" aria-label="CAS reference 30">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=33741952" aria-label="PubMed reference 30">PubMed</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed central reference" data-track-action="pubmed central reference" href="http://www.ncbi.nlm.nih.gov/pmc/articles/PMC7979702" aria-label="PubMed Central reference 30">PubMed Central</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2021NatCo..12.1759A" aria-label="ADS reference 30">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 30" href="http://scholar.google.com/scholar_lookup?&title=Measurement%20of%20the%20neutron%20charge%20radius%20and%20the%20role%20of%20its%20constituents&journal=Nat.%20Commun.&doi=10.1038%2Fs41467-021-22028-z&volume=12&publication_year=2021&author=Atac%2CH"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="31."><p class="c-article-references__text" id="ref-CR31">Mornacchi, E. et al. Measurement of Compton scattering at MAMI for the extraction of the electric and magnetic polarizabilities of the proton. <i>Phys. Rev. Lett.</i> <b>128</b>, 132503 (2022).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1103/PhysRevLett.128.132503" data-track-item_id="10.1103/PhysRevLett.128.132503" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1103%2FPhysRevLett.128.132503" aria-label="Article reference 31" data-doi="10.1103/PhysRevLett.128.132503">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="mathscinet reference" data-track-action="mathscinet reference" href="http://www.ams.org/mathscinet-getitem?mr=4490351" aria-label="MathSciNet reference 31">MathSciNet</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BB38XpsVeru74%3D" aria-label="CAS reference 31">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=35426697" aria-label="PubMed reference 31">PubMed</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2022PhRvL.128m2503M" aria-label="ADS reference 31">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 31" href="http://scholar.google.com/scholar_lookup?&title=Measurement%20of%20Compton%20scattering%20at%20MAMI%20for%20the%20extraction%20of%20the%20electric%20and%20magnetic%20polarizabilities%20of%20the%20proton&journal=Phys.%20Rev.%20Lett.&doi=10.1103%2FPhysRevLett.128.132503&volume=128&publication_year=2022&author=Mornacchi%2CE"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="32."><p class="c-article-references__text" id="ref-CR32">Zheng, X. et al. Measurement of the proton spin structure at long distances. <i>Nat. Phys.</i> <b>17</b>, 736–741 (2021).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1038/s41567-021-01198-z" data-track-item_id="10.1038/s41567-021-01198-z" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1038%2Fs41567-021-01198-z" aria-label="Article reference 32" data-doi="10.1038/s41567-021-01198-z">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BB3MXosFCgsr8%3D" aria-label="CAS reference 32">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 32" href="http://scholar.google.com/scholar_lookup?&title=Measurement%20of%20the%20proton%20spin%20structure%20at%20long%20distances&journal=Nat.%20Phys.&doi=10.1038%2Fs41567-021-01198-z&volume=17&pages=736-741&publication_year=2021&author=Zheng%2CX"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="33."><p class="c-article-references__text" id="ref-CR33">Sulkosky, V. et al. Measurement of the generalized spin polarizabilities of the neutron in the low-<i>Q</i><sup>2</sup> region. <i>Nat. Phys.</i> <b>17</b>, 687–692 (2021).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1038/s41567-021-01245-9" data-track-item_id="10.1038/s41567-021-01245-9" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1038%2Fs41567-021-01245-9" aria-label="Article reference 33" data-doi="10.1038/s41567-021-01245-9">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BB3MXht1Sksr3O" aria-label="CAS reference 33">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 33" href="http://scholar.google.com/scholar_lookup?&title=Measurement%20of%20the%20generalized%20spin%20polarizabilities%20of%20the%20neutron%20in%20the%20low-Q2%20region&journal=Nat.%20Phys.&doi=10.1038%2Fs41567-021-01245-9&volume=17&pages=687-692&publication_year=2021&author=Sulkosky%2CV"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="34."><p class="c-article-references__text" id="ref-CR34">Ahmed, M. W. et al. Nucleon spins surprise. <i>Nat. Phys.</i> <b>17</b>, 670–671 (2021).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1038/s41567-021-01263-7" data-track-item_id="10.1038/s41567-021-01263-7" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1038%2Fs41567-021-01263-7" aria-label="Article reference 34" data-doi="10.1038/s41567-021-01263-7">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BB3MXht1Sksr3N" aria-label="CAS reference 34">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 34" href="http://scholar.google.com/scholar_lookup?&title=Nucleon%20spins%20surprise&journal=Nat.%20Phys.&doi=10.1038%2Fs41567-021-01263-7&volume=17&pages=670-671&publication_year=2021&author=Ahmed%2CMW"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="35."><p class="c-article-references__text" id="ref-CR35">Mkrtchyan, H. et al. The lead-glass electromagnetic calorimeters for the magnetic spectrometers in Hall C at Jefferson Lab. <i>Nucl. Instrum. Methods A</i> <b>719</b>, 85–100 (2013).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1016/j.nima.2013.03.070" data-track-item_id="10.1016/j.nima.2013.03.070" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1016%2Fj.nima.2013.03.070" aria-label="Article reference 35" data-doi="10.1016/j.nima.2013.03.070">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC3sXosVSjt7Y%3D" aria-label="CAS reference 35">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2013NIMPA.719...85M" aria-label="ADS reference 35">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 35" href="http://scholar.google.com/scholar_lookup?&title=The%20lead-glass%20electromagnetic%20calorimeters%20for%20the%20magnetic%20spectrometers%20in%20Hall%20C%20at%20Jefferson%20Lab&journal=Nucl.%20Instrum.%20Methods%20A&doi=10.1016%2Fj.nima.2013.03.070&volume=719&pages=85-100&publication_year=2013&author=Mkrtchyan%2CH"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="36."><p class="c-article-references__text" id="ref-CR36">Vanderhaeghen, M. et al. QED radiative corrections to virtual Compton scattering. <i>Phys. Rev. C</i> <b>62</b>, 025501 (2000).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1103/PhysRevC.62.025501" data-track-item_id="10.1103/PhysRevC.62.025501" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1103%2FPhysRevC.62.025501" aria-label="Article reference 36" data-doi="10.1103/PhysRevC.62.025501">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2000PhRvC..62b5501V" aria-label="ADS reference 36">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 36" href="http://scholar.google.com/scholar_lookup?&title=QED%20radiative%20corrections%20to%20virtual%20Compton%20scattering&journal=Phys.%20Rev.%20C&doi=10.1103%2FPhysRevC.62.025501&volume=62&publication_year=2000&author=Vanderhaeghen%2CM"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="37."><p class="c-article-references__text" id="ref-CR37">Rasmussen, C. E. & Williams, C. K. I. <i>Gaussian Processes for Machine Learning</i> (MIT Press, 2006).</p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="38."><p class="c-article-references__text" id="ref-CR38">Guichon, P., Liu, G. & Thomas, A. W. Virtual Compton scattering and generalized polarizabilities of the proton. <i>Nucl. Phys. A</i> <b>591</b>, 606–638 (1995).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1016/0375-9474(95)00217-O" data-track-item_id="10.1016/0375-9474(95)00217-O" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1016%2F0375-9474%2895%2900217-O" aria-label="Article reference 38" data-doi="10.1016/0375-9474(95)00217-O">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=1995NuPhA.591..606G" aria-label="ADS reference 38">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 38" href="http://scholar.google.com/scholar_lookup?&title=Virtual%20Compton%20scattering%20and%20generalized%20polarizabilities%20of%20the%20proton&journal=Nucl.%20Phys.%20A&doi=10.1016%2F0375-9474%2895%2900217-O&volume=591&pages=606-638&publication_year=1995&author=Guichon%2CP&author=Liu%2CG&author=Thomas%2CAW"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="39."><p class="c-article-references__text" id="ref-CR39">Bernauer, J. C. et al. High-precision determination of the electric and magnetic form factors of the proton. <i>Phys. Rev. Lett.</i> <b>105</b>, 242001 (2010).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1103/PhysRevLett.105.242001" data-track-item_id="10.1103/PhysRevLett.105.242001" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1103%2FPhysRevLett.105.242001" aria-label="Article reference 39" data-doi="10.1103/PhysRevLett.105.242001">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:STN:280:DC%2BC3M7htlOrtA%3D%3D" aria-label="CAS reference 39">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=21231520" aria-label="PubMed reference 39">PubMed</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2010PhRvL.105x2001B" aria-label="ADS reference 39">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 39" href="http://scholar.google.com/scholar_lookup?&title=High-precision%20determination%20of%20the%20electric%20and%20magnetic%20form%20factors%20of%20the%20proton&journal=Phys.%20Rev.%20Lett.&doi=10.1103%2FPhysRevLett.105.242001&volume=105&publication_year=2010&author=Bernauer%2CJC"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="40."><p class="c-article-references__text" id="ref-CR40">Atac, H. et al. Charge radii of the nucleon from its flavor dependent Dirac form factors. <i>Eur. Phys. J. A</i> <b>57</b>, 65 (2021).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1140/epja/s10050-021-00389-9" data-track-item_id="10.1140/epja/s10050-021-00389-9" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1140%2Fepja%2Fs10050-021-00389-9" aria-label="Article reference 40" data-doi="10.1140/epja/s10050-021-00389-9">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BB3MXkvFeku7g%3D" aria-label="CAS reference 40">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2021EPJA...57...65A" aria-label="ADS reference 40">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 40" href="http://scholar.google.com/scholar_lookup?&title=Charge%20radii%20of%20the%20nucleon%20from%20its%20flavor%20dependent%20Dirac%20form%20factors&journal=Eur.%20Phys.%20J.%20A&doi=10.1140%2Fepja%2Fs10050-021-00389-9&volume=57&publication_year=2021&author=Atac%2CH"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="41."><p class="c-article-references__text" id="ref-CR41">Bourgeois, P. et al. Measurements of the generalized electric and magnetic polarizabilities of the proton at low <i>Q</i><sup>2</sup> using the virtual Compton scattering reaction. <i>Phys. Rev. C</i> <b>84</b>, 035206 (2011).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1103/PhysRevC.84.035206" data-track-item_id="10.1103/PhysRevC.84.035206" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1103%2FPhysRevC.84.035206" aria-label="Article reference 41" data-doi="10.1103/PhysRevC.84.035206">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2011PhRvC..84c5206B" aria-label="ADS reference 41">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 41" href="http://scholar.google.com/scholar_lookup?&title=Measurements%20of%20the%20generalized%20electric%20and%20magnetic%20polarizabilities%20of%20the%20proton%20at%20low%20Q2%20using%20the%20virtual%20Compton%20scattering%20reaction&journal=Phys.%20Rev.%20C&doi=10.1103%2FPhysRevC.84.035206&volume=84&publication_year=2011&author=Bourgeois%2CP"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="42."><p class="c-article-references__text" id="ref-CR42">Bourgeois, P. et al. Measurements of the generalized electric and magnetic polarizabilities of the proton at low <i>Q</i><sup>2</sup> using the VCS reaction. <i>Phys. Rev. Lett.</i> <b>97</b>, 212001 (2006).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1103/PhysRevLett.97.212001" data-track-item_id="10.1103/PhysRevLett.97.212001" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1103%2FPhysRevLett.97.212001" aria-label="Article reference 42" data-doi="10.1103/PhysRevLett.97.212001">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:STN:280:DC%2BD28jitlGhtA%3D%3D" aria-label="CAS reference 42">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=17155738" aria-label="PubMed reference 42">PubMed</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2006PhRvL..97u2001B" aria-label="ADS reference 42">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 42" href="http://scholar.google.com/scholar_lookup?&title=Measurements%20of%20the%20generalized%20electric%20and%20magnetic%20polarizabilities%20of%20the%20proton%20at%20low%20Q2%20using%20the%20VCS%20reaction&journal=Phys.%20Rev.%20Lett.&doi=10.1103%2FPhysRevLett.97.212001&volume=97&publication_year=2006&author=Bourgeois%2CP"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="43."><p class="c-article-references__text" id="ref-CR43">Blomberg, A. et al. Virtual Compton scattering measurements in the nucleon resonance region. <i>Eur. Phys. J. A</i> <b>55</b>, 182 (2019).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1140/epja/i2019-12877-0" data-track-item_id="10.1140/epja/i2019-12877-0" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1140%2Fepja%2Fi2019-12877-0" aria-label="Article reference 43" data-doi="10.1140/epja/i2019-12877-0">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC1MXhvF2gtLbJ" aria-label="CAS reference 43">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2019EPJA...55..182B" aria-label="ADS reference 43">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 43" href="http://scholar.google.com/scholar_lookup?&title=Virtual%20Compton%20scattering%20measurements%20in%20the%20nucleon%20resonance%20region&journal=Eur.%20Phys.%20J.%20A&doi=10.1140%2Fepja%2Fi2019-12877-0&volume=55&publication_year=2019&author=Blomberg%2CA"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="44."><p class="c-article-references__text" id="ref-CR44">Pohl, R. et al. The size of the proton. <i>Nature</i> <b>466</b>, 213–216 (2010).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1038/nature09250" data-track-item_id="10.1038/nature09250" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1038%2Fnature09250" aria-label="Article reference 44" data-doi="10.1038/nature09250">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC3cXosVKiu7o%3D" aria-label="CAS reference 44">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=20613837" aria-label="PubMed reference 44">PubMed</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2010Natur.466..213P" aria-label="ADS reference 44">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 44" href="http://scholar.google.com/scholar_lookup?&title=The%20size%20of%20the%20proton&journal=Nature&doi=10.1038%2Fnature09250&volume=466&pages=213-216&publication_year=2010&author=Pohl%2CR"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="45."><p class="c-article-references__text" id="ref-CR45">Antognini, A. et al. Proton structure from the measurement of 2S-2P transition frequencies of muonic hydrogen. <i>Science</i> <b>339</b>, 417–420 (2013).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1126/science.1230016" data-track-item_id="10.1126/science.1230016" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1126%2Fscience.1230016" aria-label="Article reference 45" data-doi="10.1126/science.1230016">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC3sXhtFyntb0%3D" aria-label="CAS reference 45">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=23349284" aria-label="PubMed reference 45">PubMed</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2013Sci...339..417A" aria-label="ADS reference 45">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 45" href="http://scholar.google.com/scholar_lookup?&title=Proton%20structure%20from%20the%20measurement%20of%202S-2P%20transition%20frequencies%20of%20muonic%20hydrogen&journal=Science&doi=10.1126%2Fscience.1230016&volume=339&pages=417-420&publication_year=2013&author=Antognini%2CA"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="46."><p class="c-article-references__text" id="ref-CR46">Xiong, W. et al. A small proton charge radius from an electron–proton scattering experiment. <i>Nature</i> <b>575</b>, 147–150 (2019).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1038/s41586-019-1721-2" data-track-item_id="10.1038/s41586-019-1721-2" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1038%2Fs41586-019-1721-2" aria-label="Article reference 46" data-doi="10.1038/s41586-019-1721-2">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC1MXitFWnurvP" aria-label="CAS reference 46">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=31695211" aria-label="PubMed reference 46">PubMed</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2019Natur.575..147X" aria-label="ADS reference 46">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 46" href="http://scholar.google.com/scholar_lookup?&title=A%20small%20proton%20charge%20radius%20from%20an%20electron%E2%80%93proton%20scattering%20experiment&journal=Nature&doi=10.1038%2Fs41586-019-1721-2&volume=575&pages=147-150&publication_year=2019&author=Xiong%2CW"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="47."><p class="c-article-references__text" id="ref-CR47">Fleurbaey, H. et al. New measurement of the 1S-3S transition frequency of hydrogen: contribution to the proton charge radius puzzle. <i>Phys. Rev. Lett.</i> <b>120</b>, 182001 (2018).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1103/PhysRevLett.120.183001" data-track-item_id="10.1103/PhysRevLett.120.183001" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1103%2FPhysRevLett.120.183001" aria-label="Article reference 47" data-doi="10.1103/PhysRevLett.120.183001">Article</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 47" href="http://scholar.google.com/scholar_lookup?&title=New%20measurement%20of%20the%201S-3S%20transition%20frequency%20of%20hydrogen%3A%20contribution%20to%20the%20proton%20charge%20radius%20puzzle&journal=Phys.%20Rev.%20Lett.&doi=10.1103%2FPhysRevLett.120.183001&volume=120&publication_year=2018&author=Fleurbaey%2CH"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="48."><p class="c-article-references__text" id="ref-CR48">Bezginov, N. et al. A measurement of the atomic hydrogen Lamb shift and the proton charge radius. <i>Science</i> <b>365</b>, 1007–1012 (2019).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1126/science.aau7807" data-track-item_id="10.1126/science.aau7807" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1126%2Fscience.aau7807" aria-label="Article reference 48" data-doi="10.1126/science.aau7807">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC1MXhslWkt73M" aria-label="CAS reference 48">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=31488684" aria-label="PubMed reference 48">PubMed</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2019Sci...365.1007B" aria-label="ADS reference 48">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 48" href="http://scholar.google.com/scholar_lookup?&title=A%20measurement%20of%20the%20atomic%20hydrogen%20Lamb%20shift%20and%20the%20proton%20charge%20radius&journal=Science&doi=10.1126%2Fscience.aau7807&volume=365&pages=1007-1012&publication_year=2019&author=Bezginov%2CN"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="49."><p class="c-article-references__text" id="ref-CR49">Grinin, A. et al. Two-photon frequency comb spectroscopy of atomic hydrogen. <i>Science</i> <b>370</b>, 1061–1066 (2020).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1126/science.abc7776" data-track-item_id="10.1126/science.abc7776" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1126%2Fscience.abc7776" aria-label="Article reference 49" data-doi="10.1126/science.abc7776">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BB3cXisVOmu7jF" aria-label="CAS reference 49">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=33243883" aria-label="PubMed reference 49">PubMed</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2020Sci...370.1061G" aria-label="ADS reference 49">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 49" href="http://scholar.google.com/scholar_lookup?&title=Two-photon%20frequency%20comb%20spectroscopy%20of%20atomic%20hydrogen&journal=Science&doi=10.1126%2Fscience.abc7776&volume=370&pages=1061-1066&publication_year=2020&author=Grinin%2CA"> Google Scholar</a> </p></li></ol><p class="c-article-references__download u-hide-print"><a data-track="click" data-track-action="download citation references" data-track-label="link" rel="nofollow" href="https://citation-needed.springer.com/v2/references/10.1038/s41586-022-05248-1?format=refman&flavour=references">Download references<svg width="16" height="16" focusable="false" role="img" aria-hidden="true" class="u-icon"><use xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#icon-eds-i-download-medium"></use></svg></a></p></div></div></div></section></div><section data-title="Acknowledgements"><div class="c-article-section" id="Ack1-section"><h2 class="c-article-section__title js-section-title js-c-reading-companion-sections-item" id="Ack1">Acknowledgements</h2><div class="c-article-section__content" id="Ack1-content"><p>WE would like to thank M. Vanderhaeghen, as this work greatly benefitted from his input and suggestions. This work has been supported by the US Department of Energy Office of Science, Office of Nuclear Physics under contract nos. DE-SC0016577 and DE-AC05-06OR23177.</p></div></div></section><section aria-labelledby="author-information" data-title="Author information"><div class="c-article-section" id="author-information-section"><h2 class="c-article-section__title js-section-title js-c-reading-companion-sections-item" id="author-information">Author information</h2><div class="c-article-section__content" id="author-information-content"><h3 class="c-article__sub-heading" id="affiliations">Authors and Affiliations</h3><ol class="c-article-author-affiliation__list"><li id="Aff1"><p class="c-article-author-affiliation__address">Temple University, Philadelphia, PA, USA</p><p class="c-article-author-affiliation__authors-list">R. Li, N. Sparveris, H. Atac, M. Boer, B. Duran, S. Jia & M. Rehfuss</p></li><li id="Aff2"><p class="c-article-author-affiliation__address">Thomas Jefferson National Accelerator Facility, Newport News, VA, USA</p><p class="c-article-author-affiliation__authors-list">M. K. Jones, A. Camsonne, J.-P. Chen, M. Diefenthaler, D. Gaskell, O. Hansen, W. Henry, S. Malace, M. McCaughan, B. Sawatzky & G. R. Smith</p></li><li id="Aff3"><p class="c-article-author-affiliation__address">New Mexico State University, Las Cruces, NM, USA</p><p class="c-article-author-affiliation__authors-list">M. Paolone</p></li><li id="Aff4"><p class="c-article-author-affiliation__address">University of Virginia, Charlottesville, VA, USA</p><p class="c-article-author-affiliation__authors-list">Z. Akbar & X. Zheng</p></li><li id="Aff5"><p class="c-article-author-affiliation__address">The College of William and Mary, Williamsburg, VA, USA</p><p class="c-article-author-affiliation__authors-list">C. Ayerbe Gayoso & W. B. Li</p></li><li id="Aff6"><p class="c-article-author-affiliation__address">Catholic University of America, Washington, DC, USA</p><p class="c-article-author-affiliation__authors-list">V. Berdnikov, T. Horn, M. Muhoza & R. Trotta</p></li><li id="Aff7"><p class="c-article-author-affiliation__address">Hampton University, Hampton, VA, USA</p><p class="c-article-author-affiliation__authors-list">D. Biswas & A. H. Liyanage</p></li><li id="Aff8"><p class="c-article-author-affiliation__address">Virginia Polytechnic Institute & State University, Blacksburg, VA, USA</p><p class="c-article-author-affiliation__authors-list">D. Biswas & M. Boer</p></li><li id="Aff9"><p class="c-article-author-affiliation__address">Mississippi State University, Mississippi State, MS, USA</p><p class="c-article-author-affiliation__authors-list">D. Dutta & A. Karki</p></li><li id="Aff10"><p class="c-article-author-affiliation__address">Old Dominion University, Norfolk, VA, USA</p><p class="c-article-author-affiliation__authors-list">F. Hauenstein</p></li><li id="Aff11"><p class="c-article-author-affiliation__address">University of Regina, Regina, Saskatchewan, Canada</p><p class="c-article-author-affiliation__authors-list">N. Heinrich, G. M. Huber, S. J. D. Kay & V. Kumar</p></li><li id="Aff12"><p class="c-article-author-affiliation__address">Argonne National Laboratory, Lemont, IL, USA</p><p class="c-article-author-affiliation__authors-list">S. Joosten & Z.-E. Meziani</p></li><li id="Aff13"><p class="c-article-author-affiliation__address">Duke University, Durham, NC, USA</p><p class="c-article-author-affiliation__authors-list">X. Li, A. Smith & J. Zhou</p></li><li id="Aff14"><p class="c-article-author-affiliation__address">Florida International University, University Park, FL, USA</p><p class="c-article-author-affiliation__authors-list">P. Markowitz & C. Yero</p></li><li id="Aff15"><p class="c-article-author-affiliation__address">Artem Alikhanian National Laboratory, Yerevan, Armenia</p><p class="c-article-author-affiliation__authors-list">H. Mkrtchyan</p></li><li id="Aff16"><p class="c-article-author-affiliation__address">University of Tennessee, Knoxville, TN, USA</p><p class="c-article-author-affiliation__authors-list">C. Morean</p></li><li id="Aff17"><p class="c-article-author-affiliation__address">Veer Kunwar Singh University, Arrah, India</p><p class="c-article-author-affiliation__authors-list">A. Narayan</p></li><li id="Aff18"><p class="c-article-author-affiliation__address">University of Pavia, Pavia, Italy</p><p class="c-article-author-affiliation__authors-list">B. Pasquini</p></li><li id="Aff19"><p class="c-article-author-affiliation__address">Istituto Nazionale di Fisica Nucleare (INFN), Pavia, Italy</p><p class="c-article-author-affiliation__authors-list">B. Pasquini</p></li></ol><div class="u-js-hide u-hide-print" data-test="author-info"><span class="c-article__sub-heading">Authors</span><ol class="c-article-authors-search u-list-reset"><li id="auth-R_-Li-Aff1"><span class="c-article-authors-search__title u-h3 js-search-name">R. Li</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=R.%20Li" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=R.%20Li" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22R.%20Li%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-N_-Sparveris-Aff1"><span class="c-article-authors-search__title u-h3 js-search-name">N. Sparveris</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=N.%20Sparveris" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=N.%20Sparveris" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22N.%20Sparveris%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-H_-Atac-Aff1"><span class="c-article-authors-search__title u-h3 js-search-name">H. Atac</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=H.%20Atac" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=H.%20Atac" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22H.%20Atac%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-M__K_-Jones-Aff2"><span class="c-article-authors-search__title u-h3 js-search-name">M. K. Jones</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=M.%20K.%20Jones" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=M.%20K.%20Jones" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22M.%20K.%20Jones%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-M_-Paolone-Aff3"><span class="c-article-authors-search__title u-h3 js-search-name">M. Paolone</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=M.%20Paolone" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=M.%20Paolone" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22M.%20Paolone%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-Z_-Akbar-Aff4"><span class="c-article-authors-search__title u-h3 js-search-name">Z. Akbar</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=Z.%20Akbar" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=Z.%20Akbar" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22Z.%20Akbar%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-C__Ayerbe-Gayoso-Aff5"><span class="c-article-authors-search__title u-h3 js-search-name">C. Ayerbe Gayoso</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=C.%20Ayerbe%20Gayoso" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=C.%20Ayerbe%20Gayoso" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22C.%20Ayerbe%20Gayoso%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-V_-Berdnikov-Aff6"><span class="c-article-authors-search__title u-h3 js-search-name">V. Berdnikov</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=V.%20Berdnikov" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=V.%20Berdnikov" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22V.%20Berdnikov%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-D_-Biswas-Aff7-Aff8"><span class="c-article-authors-search__title u-h3 js-search-name">D. Biswas</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=D.%20Biswas" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=D.%20Biswas" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22D.%20Biswas%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-M_-Boer-Aff1-Aff8"><span class="c-article-authors-search__title u-h3 js-search-name">M. Boer</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=M.%20Boer" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=M.%20Boer" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22M.%20Boer%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-A_-Camsonne-Aff2"><span class="c-article-authors-search__title u-h3 js-search-name">A. Camsonne</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=A.%20Camsonne" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=A.%20Camsonne" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22A.%20Camsonne%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-J__P_-Chen-Aff2"><span class="c-article-authors-search__title u-h3 js-search-name">J.-P. Chen</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=J.-P.%20Chen" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=J.-P.%20Chen" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22J.-P.%20Chen%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-M_-Diefenthaler-Aff2"><span class="c-article-authors-search__title u-h3 js-search-name">M. Diefenthaler</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=M.%20Diefenthaler" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=M.%20Diefenthaler" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22M.%20Diefenthaler%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-B_-Duran-Aff1"><span class="c-article-authors-search__title u-h3 js-search-name">B. Duran</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=B.%20Duran" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=B.%20Duran" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22B.%20Duran%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-D_-Dutta-Aff9"><span class="c-article-authors-search__title u-h3 js-search-name">D. Dutta</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=D.%20Dutta" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=D.%20Dutta" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22D.%20Dutta%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-D_-Gaskell-Aff2"><span class="c-article-authors-search__title u-h3 js-search-name">D. Gaskell</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=D.%20Gaskell" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=D.%20Gaskell" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22D.%20Gaskell%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-O_-Hansen-Aff2"><span class="c-article-authors-search__title u-h3 js-search-name">O. Hansen</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=O.%20Hansen" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=O.%20Hansen" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22O.%20Hansen%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-F_-Hauenstein-Aff10"><span class="c-article-authors-search__title u-h3 js-search-name">F. Hauenstein</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=F.%20Hauenstein" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=F.%20Hauenstein" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22F.%20Hauenstein%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-N_-Heinrich-Aff11"><span class="c-article-authors-search__title u-h3 js-search-name">N. Heinrich</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=N.%20Heinrich" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=N.%20Heinrich" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22N.%20Heinrich%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-W_-Henry-Aff2"><span class="c-article-authors-search__title u-h3 js-search-name">W. Henry</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=W.%20Henry" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=W.%20Henry" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22W.%20Henry%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-T_-Horn-Aff6"><span class="c-article-authors-search__title u-h3 js-search-name">T. Horn</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=T.%20Horn" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=T.%20Horn" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22T.%20Horn%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-G__M_-Huber-Aff11"><span class="c-article-authors-search__title u-h3 js-search-name">G. M. Huber</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=G.%20M.%20Huber" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=G.%20M.%20Huber" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22G.%20M.%20Huber%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-S_-Jia-Aff1"><span class="c-article-authors-search__title u-h3 js-search-name">S. Jia</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=S.%20Jia" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=S.%20Jia" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22S.%20Jia%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-S_-Joosten-Aff12"><span class="c-article-authors-search__title u-h3 js-search-name">S. Joosten</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=S.%20Joosten" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=S.%20Joosten" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22S.%20Joosten%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-A_-Karki-Aff9"><span class="c-article-authors-search__title u-h3 js-search-name">A. Karki</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=A.%20Karki" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=A.%20Karki" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22A.%20Karki%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-S__J__D_-Kay-Aff11"><span class="c-article-authors-search__title u-h3 js-search-name">S. J. D. Kay</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=S.%20J.%20D.%20Kay" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=S.%20J.%20D.%20Kay" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22S.%20J.%20D.%20Kay%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-V_-Kumar-Aff11"><span class="c-article-authors-search__title u-h3 js-search-name">V. Kumar</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=V.%20Kumar" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=V.%20Kumar" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22V.%20Kumar%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-X_-Li-Aff13"><span class="c-article-authors-search__title u-h3 js-search-name">X. Li</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=X.%20Li" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=X.%20Li" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22X.%20Li%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-W__B_-Li-Aff5"><span class="c-article-authors-search__title u-h3 js-search-name">W. B. Li</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=W.%20B.%20Li" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=W.%20B.%20Li" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22W.%20B.%20Li%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-A__H_-Liyanage-Aff7"><span class="c-article-authors-search__title u-h3 js-search-name">A. H. Liyanage</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=A.%20H.%20Liyanage" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=A.%20H.%20Liyanage" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22A.%20H.%20Liyanage%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-S_-Malace-Aff2"><span class="c-article-authors-search__title u-h3 js-search-name">S. Malace</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=S.%20Malace" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=S.%20Malace" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22S.%20Malace%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-P_-Markowitz-Aff14"><span class="c-article-authors-search__title u-h3 js-search-name">P. Markowitz</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=P.%20Markowitz" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=P.%20Markowitz" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22P.%20Markowitz%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-M_-McCaughan-Aff2"><span class="c-article-authors-search__title u-h3 js-search-name">M. McCaughan</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=M.%20McCaughan" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=M.%20McCaughan" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22M.%20McCaughan%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-Z__E_-Meziani-Aff12"><span class="c-article-authors-search__title u-h3 js-search-name">Z.-E. Meziani</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=Z.-E.%20Meziani" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=Z.-E.%20Meziani" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22Z.-E.%20Meziani%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-H_-Mkrtchyan-Aff15"><span class="c-article-authors-search__title u-h3 js-search-name">H. Mkrtchyan</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=H.%20Mkrtchyan" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=H.%20Mkrtchyan" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22H.%20Mkrtchyan%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-C_-Morean-Aff16"><span class="c-article-authors-search__title u-h3 js-search-name">C. Morean</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=C.%20Morean" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=C.%20Morean" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22C.%20Morean%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-M_-Muhoza-Aff6"><span class="c-article-authors-search__title u-h3 js-search-name">M. Muhoza</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=M.%20Muhoza" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=M.%20Muhoza" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22M.%20Muhoza%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-A_-Narayan-Aff17"><span class="c-article-authors-search__title u-h3 js-search-name">A. Narayan</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=A.%20Narayan" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=A.%20Narayan" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22A.%20Narayan%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-B_-Pasquini-Aff18-Aff19"><span class="c-article-authors-search__title u-h3 js-search-name">B. Pasquini</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=B.%20Pasquini" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=B.%20Pasquini" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22B.%20Pasquini%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-M_-Rehfuss-Aff1"><span class="c-article-authors-search__title u-h3 js-search-name">M. Rehfuss</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=M.%20Rehfuss" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=M.%20Rehfuss" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22M.%20Rehfuss%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-B_-Sawatzky-Aff2"><span class="c-article-authors-search__title u-h3 js-search-name">B. Sawatzky</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=B.%20Sawatzky" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=B.%20Sawatzky" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22B.%20Sawatzky%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-G__R_-Smith-Aff2"><span class="c-article-authors-search__title u-h3 js-search-name">G. R. Smith</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=G.%20R.%20Smith" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=G.%20R.%20Smith" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22G.%20R.%20Smith%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-A_-Smith-Aff13"><span class="c-article-authors-search__title u-h3 js-search-name">A. Smith</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=A.%20Smith" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=A.%20Smith" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22A.%20Smith%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-R_-Trotta-Aff6"><span class="c-article-authors-search__title u-h3 js-search-name">R. Trotta</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=R.%20Trotta" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=R.%20Trotta" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22R.%20Trotta%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-C_-Yero-Aff14"><span class="c-article-authors-search__title u-h3 js-search-name">C. Yero</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=C.%20Yero" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=C.%20Yero" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22C.%20Yero%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-X_-Zheng-Aff4"><span class="c-article-authors-search__title u-h3 js-search-name">X. Zheng</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=X.%20Zheng" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=X.%20Zheng" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22X.%20Zheng%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-J_-Zhou-Aff13"><span class="c-article-authors-search__title u-h3 js-search-name">J. Zhou</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=J.%20Zhou" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=J.%20Zhou" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22J.%20Zhou%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li></ol></div><h3 class="c-article__sub-heading" id="contributions">Contributions</h3><p>N.S. is the spokesperson of the experiment. He initiated, guided and supervised this effort. R.L worked on the data analysis and the extraction of the cross sections and generalized polarizabilities. H.A. worked on the data analysis and the extraction of the electric and magnetic polarizability radii. M.K.J. and M.P. co-supervised the data analysis efforts and worked on the simulation of the experiment. B.P. developed the DR code for VCS and produced the induced polarization density. The entire VCS collaboration participated in the data collection and online analysis of the experiment.</p><h3 class="c-article__sub-heading" id="corresponding-author">Corresponding author</h3><p id="corresponding-author-list">Correspondence to <a id="corresp-c1" href="mailto:sparveri@temple.edu">N. Sparveris</a>.</p></div></div></section><section data-title="Ethics declarations"><div class="c-article-section" id="ethics-section"><h2 class="c-article-section__title js-section-title js-c-reading-companion-sections-item" id="ethics">Ethics declarations</h2><div class="c-article-section__content" id="ethics-content"> <h3 class="c-article__sub-heading" id="FPar2">Competing interests</h3> <p>The authors declare no competing interests.</p> </div></div></section><section data-title="Peer review"><div class="c-article-section" id="peer-review-section"><h2 class="c-article-section__title js-section-title js-c-reading-companion-sections-item" id="peer-review">Peer review</h2><div class="c-article-section__content" id="peer-review-content"> <h3 class="c-article__sub-heading" id="FPar1">Peer review information</h3> <p><i>Nature</i> thanks the anonymous reviewers for their contribution to the peer review of this work. <a data-track="click" data-track-label="link" data-track-action="supplementary material anchor" href="/articles/s41586-022-05248-1#MOESM1">Peer reviewer reports</a> are available.</p> </div></div></section><section data-title="Additional information"><div class="c-article-section" id="additional-information-section"><h2 class="c-article-section__title js-section-title js-c-reading-companion-sections-item" id="additional-information">Additional information</h2><div class="c-article-section__content" id="additional-information-content"><p><b>Publisher’s note</b> Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p></div></div></section><section data-title="Extended data figures and tables"><div class="c-article-section" id="Sec9-section"><h2 class="c-article-section__title js-section-title js-c-reading-companion-sections-item" id="Sec9">Extended data figures and tables</h2><div class="c-article-section__content" id="Sec9-content"><div data-test="supplementary-info"><div id="figshareContainer" class="c-article-figshare-container" data-test="figshare-container"></div><div class="c-article-supplementary__item js-c-reading-companion-figures-item" data-test="supp-item" id="Fig5"><h3 class="c-article-supplementary__title u-h3"><a class="print-link" data-track="click" data-track-action="view supplementary info" data-test="supp-info-link" data-track-label="extended data fig. 1 cross-section measurements of" href="/articles/s41586-022-05248-1/figures/5" data-supp-info-image="//media.springernature.com/lw685/springer-static/esm/art%3A10.1038%2Fs41586-022-05248-1/MediaObjects/41586_2022_5248_Fig5_ESM.jpg">Extended Data Fig. 1 Cross-section measurements of the VCS reaction for out-of-plane kinematics.</a></h3><div class="c-article-supplementary__description" data-component="thumbnail-container"><p><b>a</b>, Cross-section measurements for out-of-plane kinematics at <i>Q</i><sup>2</sup> = 0.28 GeV<sup>2</sup>. Results are shown for different bins in the total centre-of-mass energy of the (<i>γ</i>p) system, <i>W</i>. Top, middle and bottom panels correspond to <i>ϕ</i><sub><i>γ</i>*<i>γ</i></sub> = 140°, <i>ϕ</i><sub><i>γ</i>*<i>γ</i></sub> = 28° and <i>ϕ</i><sub><i>γ</i>*<i>γ</i></sub> = 38°, respectively. <b>b</b>, Measurements for out-of-plane kinematics at <i>Q</i><sup>2</sup> = 0.33 GeV<sup>2</sup>. Top and bottom panels correspond to <i>ϕ</i><sub><i>γ</i>*<i>γ</i></sub> = 150° and <i>ϕ</i><sub><i>γ</i>*<i>γ</i></sub> = 30°, respectively. <b>c</b>, Measurements for out-of-plane kinematics at <i>Q</i><sup>2</sup> = 0.40 GeV<sup>2</sup>. Top, middle and bottom panels correspond to <i>ϕ</i><sub><i>γ</i>*<i>γ</i></sub> = 152°, <i>ϕ</i><sub><i>γ</i>*<i>γ</i></sub> = 35° and <i>ϕ</i><sub><i>γ</i>*<i>γ</i></sub> = 50°, respectively. The solid curve shows the DR fit for the two scalar generalized polarizabilities. The dashed curve shows the Bethe–Heitler plus Born VCS (BH+Born) cross section. The error bars correspond to the total uncertainty, at the 1<i>σ</i> or 68% confidence level.</p></div></div><div class="c-article-supplementary__item js-c-reading-companion-figures-item" data-test="supp-item" id="Fig6"><h3 class="c-article-supplementary__title u-h3"><a class="print-link" data-track="click" data-track-action="view supplementary info" data-test="supp-info-link" data-track-label="extended data fig. 2 q2 dependence of the electric" href="/articles/s41586-022-05248-1/figures/6" data-supp-info-image="//media.springernature.com/lw685/springer-static/esm/art%3A10.1038%2Fs41586-022-05248-1/MediaObjects/41586_2022_5248_Fig6_ESM.jpg">Extended Data Fig. 2 <i>Q</i><sup>2</sup> dependence of the electric generalized polarizability.</a></h3><div class="c-article-supplementary__description" data-component="thumbnail-container"><p><b>a</b>, The empirical fits to the electric generalized polarizability: the yellow band corresponds to a dipole fit (<span class="mathjax-tex">\({\chi }_{\nu }^{2}=3.7\)</span>) and the purple band corresponds to the dipole + Gaussian fit (<span class="mathjax-tex">\({\chi }_{\nu }^{2}=1.9\)</span>). The world data values for the electric generalized polarizability (open symbols) from the experiments MIT-Bates, MAMI-I, MAMI-IV, MAMI-V, MAMI-VI and JLab-I are summarized in the review paper of ref. <sup><a data-track="click" data-track-action="reference anchor" data-track-label="link" data-test="citation-ref" aria-label="Reference 2" title="Fonvieille, H., Pasquini, B. & Sparveris, N. Virtual Compton scattering and nucleon generalized polarizabilities. Prog. Part. Nucl. Phys. 113, 103754 (2020)." href="/articles/s41586-022-05248-1#ref-CR2" id="ref-link-section-d78383938e6603">2</a></sup>. <b>b</b>, The <i>Q</i><sup>2</sup> dependence of the electric generalized polarizability as derived from the experimental measurements using the GPR technique, a data-driven method that assumes no direct underlying functional form. The error bars and the uncertainty bands correspond to the total uncertainty, at the 1<i>σ</i> or 68% confidence level.</p></div></div><div class="c-article-supplementary__item js-c-reading-companion-figures-item" data-test="supp-item" id="Fig7"><h3 class="c-article-supplementary__title u-h3"><a class="print-link" data-track="click" data-track-action="view supplementary info" data-test="supp-info-link" data-track-label="extended data fig. 3 electric polarizability radiu" href="/articles/s41586-022-05248-1/figures/7" data-supp-info-image="//media.springernature.com/lw685/springer-static/esm/art%3A10.1038%2Fs41586-022-05248-1/MediaObjects/41586_2022_5248_Fig7_ESM.jpg">Extended Data Fig. 3 Electric polarizability radius fits.</a></h3><div class="c-article-supplementary__description" data-component="thumbnail-container"><p>Top, the mean square electric polarizability radius fits using combinations of different functional forms (exp, gaus, pol and dipole correspond to exponential, Gaussian, polynomial and dipole functions, respectively). The fits denoted with solid lines were performed over the full <i>Q</i><sup>2</sup> range of the world data. The three functional forms denoted with dashed lines were performed in the low-<i>Q</i><sup>2</sup> range, namely in <i>Q</i><sup>2</sup> = [0, 0.28] GeV<sup>2</sup>. Bottom, the extracted mean square electric polarizability radius from the individual fits. The error bars correspond to the total uncertainty, at the 1<i>σ</i> or 68% confidence level. The blue band marks the final value for the extracted <span class="mathjax-tex">\(\langle {r}_{{\alpha }_{{\rm{E}}}}^{2}\rangle =1.36\pm 0.29\,{{\rm{fm}}}^{2}\)</span>.</p></div></div><div class="c-article-supplementary__item js-c-reading-companion-figures-item" data-test="supp-item" id="Fig8"><h3 class="c-article-supplementary__title u-h3"><a class="print-link" data-track="click" data-track-action="view supplementary info" data-test="supp-info-link" data-track-label="extended data fig. 4 electric polarizability radiu" href="/articles/s41586-022-05248-1/figures/8" data-supp-info-image="//media.springernature.com/lw685/springer-static/esm/art%3A10.1038%2Fs41586-022-05248-1/MediaObjects/41586_2022_5248_Fig8_ESM.jpg">Extended Data Fig. 4 Electric polarizability radius.</a></h3><div class="c-article-supplementary__description" data-component="thumbnail-container"><p>The electric polarizability radius <span class="mathjax-tex">\({r}_{{\alpha }_{{\rm{E}}}}\equiv \sqrt{\langle {r}_{{\alpha }_{{\rm{E}}}}^{2}\rangle }\)</span> derived from this work is compared with the previous extractions of this quantity (open red symbols). The theoretical predictions of the models discussed in the paper are also shown as red triangles. The recent measurements of the proton charge radius <i>r</i><sub>E</sub> (blue symbols) are also shown. The error bars correspond to the total uncertainty,at the 1<i>σ</i> or 68% confidence level.</p></div></div><div class="c-article-supplementary__item js-c-reading-companion-figures-item" data-test="supp-item" id="Fig9"><h3 class="c-article-supplementary__title u-h3"><a class="print-link" data-track="click" data-track-action="view supplementary info" data-test="supp-info-link" data-track-label="extended data fig. 5 magnetic polarizability radiu" href="/articles/s41586-022-05248-1/figures/9" data-supp-info-image="//media.springernature.com/lw685/springer-static/esm/art%3A10.1038%2Fs41586-022-05248-1/MediaObjects/41586_2022_5248_Fig9_ESM.jpg">Extended Data Fig. 5 Magnetic polarizability radius fits.</a></h3><div class="c-article-supplementary__description" data-component="thumbnail-container"><p>Top, the mean square magnetic polarizability radius fits using combinations of different functional forms (exp, pol and dipole correspond to exponential, polynomial and dipole functions, respectively). Bottom, the extracted mean square magnetic polarizability radius from the individual fits. The error bars correspond to the total uncertainty, at the 1<i>σ</i> or 68% confidence level. The blue band marks the final value for the extracted <span class="mathjax-tex">\(\langle {r}_{{\beta }_{{\rm{M}}}}^{2}\rangle =0.63\pm 0.31\,{{\rm{fm}}}^{2}\)</span>.</p></div></div><div class="c-article-supplementary__item" data-test="supp-item"><div class="c-article-table" data-test="inline-table" data-container-section="table" id="table-1"><figure><figcaption class="c-article-table__figcaption"><b id="Tab1" data-test="table-caption">Extended Data Table 1 Cross section results at <i>Q</i><sup>2</sup> = 0.28 GeV<sup>2</sup></b></figcaption><div class="u-text-right u-hide-print"><a class="c-article__pill-button" data-test="table-link" data-track="click" data-track-action="view table" data-track-label="button" rel="nofollow" href="/articles/s41586-022-05248-1/tables/1" aria-label="Full size table 1"><span>Full size table</span><svg width="16" height="16" focusable="false" role="img" aria-hidden="true" class="u-icon"><use xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#icon-eds-i-chevron-right-small"></use></svg></a></div></figure></div></div><div class="c-article-supplementary__item" data-test="supp-item"><div class="c-article-table" data-test="inline-table" data-container-section="table" id="table-2"><figure><figcaption class="c-article-table__figcaption"><b id="Tab2" data-test="table-caption">Extended Data Table 2 Cross-section results at <i>Q</i><sup>2</sup> = 0.33 GeV<sup>2</sup></b></figcaption><div class="u-text-right u-hide-print"><a class="c-article__pill-button" data-test="table-link" data-track="click" data-track-action="view table" data-track-label="button" rel="nofollow" href="/articles/s41586-022-05248-1/tables/2" aria-label="Full size table 2"><span>Full size table</span><svg width="16" height="16" focusable="false" role="img" aria-hidden="true" class="u-icon"><use xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#icon-eds-i-chevron-right-small"></use></svg></a></div></figure></div></div><div class="c-article-supplementary__item" data-test="supp-item"><div class="c-article-table" data-test="inline-table" data-container-section="table" id="table-3"><figure><figcaption class="c-article-table__figcaption"><b id="Tab3" data-test="table-caption">Extended Data Table 3 Cross-section results at <i>Q</i><sup>2</sup> = 0.40 GeV<sup>2</sup></b></figcaption><div class="u-text-right u-hide-print"><a class="c-article__pill-button" data-test="table-link" data-track="click" data-track-action="view table" data-track-label="button" rel="nofollow" href="/articles/s41586-022-05248-1/tables/3" aria-label="Full size table 3"><span>Full size table</span><svg width="16" height="16" focusable="false" role="img" aria-hidden="true" class="u-icon"><use xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#icon-eds-i-chevron-right-small"></use></svg></a></div></figure></div></div><div class="c-article-supplementary__item" data-test="supp-item"><div class="c-article-table" data-test="inline-table" data-container-section="table" id="table-4"><figure><figcaption class="c-article-table__figcaption"><b id="Tab4" data-test="table-caption">Extended Data Table 4 The electric and magnetic generalized polarizabilities</b></figcaption><div class="u-text-right u-hide-print"><a class="c-article__pill-button" data-test="table-link" data-track="click" data-track-action="view table" data-track-label="button" rel="nofollow" href="/articles/s41586-022-05248-1/tables/4" aria-label="Full size table 4"><span>Full size table</span><svg width="16" height="16" focusable="false" role="img" aria-hidden="true" class="u-icon"><use xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#icon-eds-i-chevron-right-small"></use></svg></a></div></figure></div></div></div></div></div></section><section data-title="Supplementary information"><div class="c-article-section" id="Sec10-section"><h2 class="c-article-section__title js-section-title js-c-reading-companion-sections-item" id="Sec10">Supplementary information</h2><div class="c-article-section__content" id="Sec10-content"><div data-test="supplementary-info"><div class="c-article-supplementary__item" data-test="supp-item" id="MOESM1"><h3 class="c-article-supplementary__title u-h3"><a class="print-link" data-track="click" data-track-action="view supplementary info" data-test="supp-info-link" data-track-label="peer review file" href="https://static-content.springer.com/esm/art%3A10.1038%2Fs41586-022-05248-1/MediaObjects/41586_2022_5248_MOESM1_ESM.pdf" data-supp-info-image="">Peer Review File</a></h3></div></div></div></div></section><section data-title="Rights and permissions"><div class="c-article-section" id="rightslink-section"><h2 class="c-article-section__title js-section-title js-c-reading-companion-sections-item" id="rightslink">Rights and permissions</h2><div class="c-article-section__content" id="rightslink-content"><p>Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</p><p class="c-article-rights"><a data-track="click" data-track-action="view rights and permissions" data-track-label="link" href="https://s100.copyright.com/AppDispatchServlet?title=Measured%20proton%20electromagnetic%20structure%20deviates%20from%20theoretical%20predictions&author=R.%20Li%20et%20al&contentID=10.1038%2Fs41586-022-05248-1&copyright=The%20Author%28s%29%2C%20under%20exclusive%20licence%20to%20Springer%20Nature%20Limited&publication=0028-0836&publicationDate=2022-10-19&publisherName=SpringerNature&orderBeanReset=true">Reprints and permissions</a></p></div></div></section><section aria-labelledby="article-info" data-title="About this article"><div class="c-article-section" id="article-info-section"><h2 class="c-article-section__title js-section-title js-c-reading-companion-sections-item" id="article-info">About this article</h2><div class="c-article-section__content" id="article-info-content"><div class="c-bibliographic-information"><div class="u-hide-print c-bibliographic-information__column c-bibliographic-information__column--border"><a data-crossmark="10.1038/s41586-022-05248-1" target="_blank" rel="noopener" href="https://crossmark.crossref.org/dialog/?doi=10.1038/s41586-022-05248-1" data-track="click" data-track-action="Click Crossmark" data-track-label="link" data-test="crossmark"><img loading="lazy" width="57" height="81" alt="Check for updates. Verify currency and authenticity via CrossMark" src="data:image/svg+xml;base64,<svg height="81" width="57" xmlns="http://www.w3.org/2000/svg"><g fill="none" fill-rule="evenodd"><path d="m17.35 35.45 21.3-14.2v-17.03h-21.3" fill="#989898"/><path d="m38.65 35.45-21.3-14.2v-17.03h21.3" fill="#747474"/><path d="m28 .5c-12.98 0-23.5 10.52-23.5 23.5s10.52 23.5 23.5 23.5 23.5-10.52 23.5-23.5c0-6.23-2.48-12.21-6.88-16.62-4.41-4.4-10.39-6.88-16.62-6.88zm0 41.25c-9.8 0-17.75-7.95-17.75-17.75s7.95-17.75 17.75-17.75 17.75 7.95 17.75 17.75c0 4.71-1.87 9.22-5.2 12.55s-7.84 5.2-12.55 5.2z" fill="#535353"/><path d="m41 36c-5.81 6.23-15.23 7.45-22.43 2.9-7.21-4.55-10.16-13.57-7.03-21.5l-4.92-3.11c-4.95 10.7-1.19 23.42 8.78 29.71 9.97 6.3 23.07 4.22 30.6-4.86z" fill="#9c9c9c"/><path d="m.2 58.45c0-.75.11-1.42.33-2.01s.52-1.09.91-1.5c.38-.41.83-.73 1.34-.94.51-.22 1.06-.32 1.65-.32.56 0 1.06.11 1.51.35.44.23.81.5 1.1.81l-.91 1.01c-.24-.24-.49-.42-.75-.56-.27-.13-.58-.2-.93-.2-.39 0-.73.08-1.05.23-.31.16-.58.37-.81.66-.23.28-.41.63-.53 1.04-.13.41-.19.88-.19 1.39 0 1.04.23 1.86.68 2.46.45.59 1.06.88 1.84.88.41 0 .77-.07 1.07-.23s.59-.39.85-.68l.91 1c-.38.43-.8.76-1.28.99-.47.22-1 .34-1.58.34-.59 0-1.13-.1-1.64-.31-.5-.2-.94-.51-1.31-.91-.38-.4-.67-.9-.88-1.48-.22-.59-.33-1.26-.33-2.02zm8.4-5.33h1.61v2.54l-.05 1.33c.29-.27.61-.51.96-.72s.76-.31 1.24-.31c.73 0 1.27.23 1.61.71.33.47.5 1.14.5 2.02v4.31h-1.61v-4.1c0-.57-.08-.97-.25-1.21-.17-.23-.45-.35-.83-.35-.3 0-.56.08-.79.22-.23.15-.49.36-.78.64v4.8h-1.61zm7.37 6.45c0-.56.09-1.06.26-1.51.18-.45.42-.83.71-1.14.29-.3.63-.54 1.01-.71.39-.17.78-.25 1.18-.25.47 0 .88.08 1.23.24.36.16.65.38.89.67s.42.63.54 1.03c.12.41.18.84.18 1.32 0 .32-.02.57-.07.76h-4.36c.07.62.29 1.1.65 1.44.36.33.82.5 1.38.5.29 0 .57-.04.83-.13s.51-.21.76-.37l.55 1.01c-.33.21-.69.39-1.09.53-.41.14-.83.21-1.26.21-.48 0-.92-.08-1.34-.25-.41-.16-.76-.4-1.07-.7-.31-.31-.55-.69-.72-1.13-.18-.44-.26-.95-.26-1.52zm4.6-.62c0-.55-.11-.98-.34-1.28-.23-.31-.58-.47-1.06-.47-.41 0-.77.15-1.07.45-.31.29-.5.73-.58 1.3zm2.5.62c0-.57.09-1.08.28-1.53.18-.44.43-.82.75-1.13s.69-.54 1.1-.71c.42-.16.85-.24 1.31-.24.45 0 .84.08 1.17.23s.61.34.85.57l-.77 1.02c-.19-.16-.38-.28-.56-.37-.19-.09-.39-.14-.61-.14-.56 0-1.01.21-1.35.63-.35.41-.52.97-.52 1.67 0 .69.17 1.24.51 1.66.34.41.78.62 1.32.62.28 0 .54-.06.78-.17.24-.12.45-.26.64-.42l.67 1.03c-.33.29-.69.51-1.08.65-.39.15-.78.23-1.18.23-.46 0-.9-.08-1.31-.24-.4-.16-.75-.39-1.05-.7s-.53-.69-.7-1.13c-.17-.45-.25-.96-.25-1.53zm6.91-6.45h1.58v6.17h.05l2.54-3.16h1.77l-2.35 2.8 2.59 4.07h-1.75l-1.77-2.98-1.08 1.23v1.75h-1.58zm13.69 1.27c-.25-.11-.5-.17-.75-.17-.58 0-.87.39-.87 1.16v.75h1.34v1.27h-1.34v5.6h-1.61v-5.6h-.92v-1.2l.92-.07v-.72c0-.35.04-.68.13-.98.08-.31.21-.57.4-.79s.42-.39.71-.51c.28-.12.63-.18 1.04-.18.24 0 .48.02.69.07.22.05.41.1.57.17zm.48 5.18c0-.57.09-1.08.27-1.53.17-.44.41-.82.72-1.13.3-.31.65-.54 1.04-.71.39-.16.8-.24 1.23-.24s.84.08 1.24.24c.4.17.74.4 1.04.71s.54.69.72 1.13c.19.45.28.96.28 1.53s-.09 1.08-.28 1.53c-.18.44-.42.82-.72 1.13s-.64.54-1.04.7-.81.24-1.24.24-.84-.08-1.23-.24-.74-.39-1.04-.7c-.31-.31-.55-.69-.72-1.13-.18-.45-.27-.96-.27-1.53zm1.65 0c0 .69.14 1.24.43 1.66.28.41.68.62 1.18.62.51 0 .9-.21 1.19-.62.29-.42.44-.97.44-1.66 0-.7-.15-1.26-.44-1.67-.29-.42-.68-.63-1.19-.63-.5 0-.9.21-1.18.63-.29.41-.43.97-.43 1.67zm6.48-3.44h1.33l.12 1.21h.05c.24-.44.54-.79.88-1.02.35-.24.7-.36 1.07-.36.32 0 .59.05.78.14l-.28 1.4-.33-.09c-.11-.01-.23-.02-.38-.02-.27 0-.56.1-.86.31s-.55.58-.77 1.1v4.2h-1.61zm-47.87 15h1.61v4.1c0 .57.08.97.25 1.2.17.24.44.35.81.35.3 0 .57-.07.8-.22.22-.15.47-.39.73-.73v-4.7h1.61v6.87h-1.32l-.12-1.01h-.04c-.3.36-.63.64-.98.86-.35.21-.76.32-1.24.32-.73 0-1.27-.24-1.61-.71-.33-.47-.5-1.14-.5-2.02zm9.46 7.43v2.16h-1.61v-9.59h1.33l.12.72h.05c.29-.24.61-.45.97-.63.35-.17.72-.26 1.1-.26.43 0 .81.08 1.15.24.33.17.61.4.84.71.24.31.41.68.53 1.11.13.42.19.91.19 1.44 0 .59-.09 1.11-.25 1.57-.16.47-.38.85-.65 1.16-.27.32-.58.56-.94.73-.35.16-.72.25-1.1.25-.3 0-.6-.07-.9-.2s-.59-.31-.87-.56zm0-2.3c.26.22.5.37.73.45.24.09.46.13.66.13.46 0 .84-.2 1.15-.6.31-.39.46-.98.46-1.77 0-.69-.12-1.22-.35-1.61-.23-.38-.61-.57-1.13-.57-.49 0-.99.26-1.52.77zm5.87-1.69c0-.56.08-1.06.25-1.51.16-.45.37-.83.65-1.14.27-.3.58-.54.93-.71s.71-.25 1.08-.25c.39 0 .73.07 1 .2.27.14.54.32.81.55l-.06-1.1v-2.49h1.61v9.88h-1.33l-.11-.74h-.06c-.25.25-.54.46-.88.64-.33.18-.69.27-1.06.27-.87 0-1.56-.32-2.07-.95s-.76-1.51-.76-2.65zm1.67-.01c0 .74.13 1.31.4 1.7.26.38.65.58 1.15.58.51 0 .99-.26 1.44-.77v-3.21c-.24-.21-.48-.36-.7-.45-.23-.08-.46-.12-.7-.12-.45 0-.82.19-1.13.59-.31.39-.46.95-.46 1.68zm6.35 1.59c0-.73.32-1.3.97-1.71.64-.4 1.67-.68 3.08-.84 0-.17-.02-.34-.07-.51-.05-.16-.12-.3-.22-.43s-.22-.22-.38-.3c-.15-.06-.34-.1-.58-.1-.34 0-.68.07-1 .2s-.63.29-.93.47l-.59-1.08c.39-.24.81-.45 1.28-.63.47-.17.99-.26 1.54-.26.86 0 1.51.25 1.93.76s.63 1.25.63 2.21v4.07h-1.32l-.12-.76h-.05c-.3.27-.63.48-.98.66s-.73.27-1.14.27c-.61 0-1.1-.19-1.48-.56-.38-.36-.57-.85-.57-1.46zm1.57-.12c0 .3.09.53.27.67.19.14.42.21.71.21.28 0 .54-.07.77-.2s.48-.31.73-.56v-1.54c-.47.06-.86.13-1.18.23-.31.09-.57.19-.76.31s-.33.25-.41.4c-.09.15-.13.31-.13.48zm6.29-3.63h-.98v-1.2l1.06-.07.2-1.88h1.34v1.88h1.75v1.27h-1.75v3.28c0 .8.32 1.2.97 1.2.12 0 .24-.01.37-.04.12-.03.24-.07.34-.11l.28 1.19c-.19.06-.4.12-.64.17-.23.05-.49.08-.76.08-.4 0-.74-.06-1.02-.18-.27-.13-.49-.3-.67-.52-.17-.21-.3-.48-.37-.78-.08-.3-.12-.64-.12-1.01zm4.36 2.17c0-.56.09-1.06.27-1.51s.41-.83.71-1.14c.29-.3.63-.54 1.01-.71.39-.17.78-.25 1.18-.25.47 0 .88.08 1.23.24.36.16.65.38.89.67s.42.63.54 1.03c.12.41.18.84.18 1.32 0 .32-.02.57-.07.76h-4.37c.08.62.29 1.1.65 1.44.36.33.82.5 1.38.5.3 0 .58-.04.84-.13.25-.09.51-.21.76-.37l.54 1.01c-.32.21-.69.39-1.09.53s-.82.21-1.26.21c-.47 0-.92-.08-1.33-.25-.41-.16-.77-.4-1.08-.7-.3-.31-.54-.69-.72-1.13-.17-.44-.26-.95-.26-1.52zm4.61-.62c0-.55-.11-.98-.34-1.28-.23-.31-.58-.47-1.06-.47-.41 0-.77.15-1.08.45-.31.29-.5.73-.57 1.3zm3.01 2.23c.31.24.61.43.92.57.3.13.63.2.98.2.38 0 .65-.08.83-.23s.27-.35.27-.6c0-.14-.05-.26-.13-.37-.08-.1-.2-.2-.34-.28-.14-.09-.29-.16-.47-.23l-.53-.22c-.23-.09-.46-.18-.69-.3-.23-.11-.44-.24-.62-.4s-.33-.35-.45-.55c-.12-.21-.18-.46-.18-.75 0-.61.23-1.1.68-1.49.44-.38 1.06-.57 1.83-.57.48 0 .91.08 1.29.25s.71.36.99.57l-.74.98c-.24-.17-.49-.32-.73-.42-.25-.11-.51-.16-.78-.16-.35 0-.6.07-.76.21-.17.15-.25.33-.25.54 0 .14.04.26.12.36s.18.18.31.26c.14.07.29.14.46.21l.54.19c.23.09.47.18.7.29s.44.24.64.4c.19.16.34.35.46.58.11.23.17.5.17.82 0 .3-.06.58-.17.83-.12.26-.29.48-.51.68-.23.19-.51.34-.84.45-.34.11-.72.17-1.15.17-.48 0-.95-.09-1.41-.27-.46-.19-.86-.41-1.2-.68z" fill="#535353"/></g></svg>"></a></div><div class="c-bibliographic-information__column"><h3 class="c-article__sub-heading" id="citeas">Cite this article</h3><p class="c-bibliographic-information__citation">Li, R., Sparveris, N., Atac, H. <i>et al.</i> Measured proton electromagnetic structure deviates from theoretical predictions. <i>Nature</i> <b>611</b>, 265–270 (2022). https://doi.org/10.1038/s41586-022-05248-1</p><p class="c-bibliographic-information__download-citation u-hide-print"><a data-test="citation-link" data-track="click" data-track-action="download article citation" data-track-label="link" data-track-external="" rel="nofollow" href="https://citation-needed.springer.com/v2/references/10.1038/s41586-022-05248-1?format=refman&flavour=citation">Download citation<svg width="16" height="16" focusable="false" role="img" aria-hidden="true" class="u-icon"><use xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#icon-eds-i-download-medium"></use></svg></a></p><ul class="c-bibliographic-information__list" data-test="publication-history"><li class="c-bibliographic-information__list-item"><p>Received<span class="u-hide">: </span><span class="c-bibliographic-information__value"><time datetime="2022-06-07">07 June 2022</time></span></p></li><li class="c-bibliographic-information__list-item"><p>Accepted<span class="u-hide">: </span><span class="c-bibliographic-information__value"><time datetime="2022-08-17">17 August 2022</time></span></p></li><li class="c-bibliographic-information__list-item"><p>Published<span class="u-hide">: </span><span class="c-bibliographic-information__value"><time datetime="2022-10-19">19 October 2022</time></span></p></li><li class="c-bibliographic-information__list-item"><p>Issue Date<span class="u-hide">: </span><span class="c-bibliographic-information__value"><time datetime="2022-11-10">10 November 2022</time></span></p></li><li class="c-bibliographic-information__list-item c-bibliographic-information__list-item--full-width"><p><abbr title="Digital Object Identifier">DOI</abbr><span class="u-hide">: </span><span class="c-bibliographic-information__value">https://doi.org/10.1038/s41586-022-05248-1</span></p></li></ul><div data-component="share-box"><div class="c-article-share-box u-display-none" hidden=""><h3 class="c-article__sub-heading">Share this article</h3><p class="c-article-share-box__description">Anyone you share the following link with will be able to read this content:</p><button class="js-get-share-url c-article-share-box__button" type="button" id="get-share-url" data-track="click" data-track-label="button" data-track-external="" data-track-action="get shareable link">Get shareable link</button><div class="js-no-share-url-container u-display-none" hidden=""><p class="js-c-article-share-box__no-sharelink-info c-article-share-box__no-sharelink-info">Sorry, a shareable link is not currently available for this article.</p></div><div class="js-share-url-container u-display-none" hidden=""><p class="js-share-url c-article-share-box__only-read-input" id="share-url" data-track="click" data-track-label="button" data-track-action="select share url"></p><button class="js-copy-share-url c-article-share-box__button--link-like" type="button" id="copy-share-url" data-track="click" data-track-label="button" data-track-action="copy share url" data-track-external="">Copy to clipboard</button></div><p class="js-c-article-share-box__additional-info c-article-share-box__additional-info"> Provided by the Springer Nature SharedIt content-sharing initiative </p></div></div><div data-component="article-info-list"></div></div></div></div></div></section> </div> </div> </article> </main> <aside class="c-article-extras u-hide-print" aria-label="Article navigation" data-component-reading-companion data-container-type="reading-companion" data-track-component="reading companion"> <div class="js-context-bar-sticky-point-desktop" data-track-context="reading companion"> <noscript> <div class="c-nature-box c-nature-box--side " data-component="entitlement-box"> <div class="js-access-button"> <a href="https://wayf.springernature.com?redirect_uri=https%3A%2F%2Fwww.nature.com%2Farticles%2Fs41586-022-05248-1" class="c-article__button" data-test="ra21"> <svg class="u-icon" width="18" height="18" aria-hidden="true" focusable="false"><use href="#icon-institution"></use></svg> <span class="c-article__button-text">Access through your institution</span> </a> </div> <div class="js-buy-button"> <a href="#access-options" class="c-article__button c-article__button--inverted" data-test="ra21"> <span>Buy or subscribe</span> </a> </div> </div> </noscript> <div class="c-nature-box__wrapper c-nature-box__wrapper--placeholder"> <div class="c-nature-box c-nature-box--side u-display-none u-hide-print" aria-hidden="true" data-component="entitlement-box" id=entitlement-box-right-column > <p class="c-nature-box__text js-text u-display-none" aria-hidden="true"></p> <div class="js-access-button u-display-none"> <a href="https://wayf.springernature.com?redirect_uri=https%3A%2F%2Fwww.nature.com%2Farticles%2Fs41586-022-05248-1" class="c-article__button" aria-hidden="true" data-test="ra21" data-track="click_institution_login" data-track-context="reading companion" data-track-action="institution access" data-track-label="button"> <svg class="u-icon" width="18" height="18" aria-hidden="true" focusable="false"><use xlink:href="#icon-institution"></use></svg> <span class="c-article__button-text">Access through your institution</span> </a> </div> <div class="js-change-institution-button u-display-none"> <a href="https://wayf.springernature.com?redirect_uri=https%3A%2F%2Fwww.nature.com%2Farticles%2Fs41586-022-05248-1" class="c-article__button c-article__button--inverted" aria-hidden="true" data-test="ra21" data-track="click" data-track-action="change institution" data-track-label="button"> <span class="c-article__button-text">Change institution</span> </a> </div> <div class="js-buy-button u-display-none"> <a href="#access-options" class="c-article__button c-article__button--inverted" aria-hidden="true" data-test="ra21" data-track="click" data-track-action="buy or subscribe" data-track-label="button"> <span>Buy or subscribe</span> </a> </div> </div> </div> </div> <div class="c-reading-companion"> <div class="c-reading-companion__sticky" data-component="reading-companion-sticky" data-test="reading-companion-sticky"> <div class="c-reading-companion__panel c-reading-companion__sections c-reading-companion__panel--active" id="tabpanel-sections"> <div class="u-lazy-ad-wrapper u-mt-16 u-hide" data-component-mpu> <div class="c-ad c-ad--300x250"> <div class="c-ad__inner"> <p class="c-ad__label">Advertisement</p> <div id="div-gpt-ad-right-2" class="div-gpt-ad advert medium-rectangle js-ad text-center hide-print grade-c-hide" data-ad-type="right" data-test="right-ad" data-pa11y-ignore data-gpt data-gpt-unitpath="/285/nature.com/article" data-gpt-sizes="300x250" data-gpt-targeting="type=article;pos=right;artid=s41586-022-05248-1;doi=10.1038/s41586-022-05248-1;subjmeta=1126,1129,387,639,766;kwrd=Experimental+nuclear+physics,Theoretical+nuclear+physics"> <noscript> <a href="//pubads.g.doubleclick.net/gampad/jump?iu=/285/nature.com/article&sz=300x250&c=1624348224&t=pos%3Dright%26type%3Darticle%26artid%3Ds41586-022-05248-1%26doi%3D10.1038/s41586-022-05248-1%26subjmeta%3D1126,1129,387,639,766%26kwrd%3DExperimental+nuclear+physics,Theoretical+nuclear+physics"> <img data-test="gpt-advert-fallback-img" src="//pubads.g.doubleclick.net/gampad/ad?iu=/285/nature.com/article&sz=300x250&c=1624348224&t=pos%3Dright%26type%3Darticle%26artid%3Ds41586-022-05248-1%26doi%3D10.1038/s41586-022-05248-1%26subjmeta%3D1126,1129,387,639,766%26kwrd%3DExperimental+nuclear+physics,Theoretical+nuclear+physics" alt="Advertisement" width="300" height="250"></a> </noscript> </div> </div> </div> </div> </div> <div class="c-reading-companion__panel c-reading-companion__figures c-reading-companion__panel--full-width" id="tabpanel-figures"></div> <div class="c-reading-companion__panel c-reading-companion__references c-reading-companion__panel--full-width" id="tabpanel-references"></div> </div> </div> </aside> </div> <nav class="c-header__dropdown" aria-labelledby="Explore-content" data-test="Explore-content" id="explore" data-track-component="nature-150-split-header"> <div class="c-header__container"> <h2 id="Explore-content" class="c-header__heading c-header__heading--js-hide">Explore content</h2> <ul class="c-header__list c-header__list--js-stack"> <li class="c-header__item"> <a class="c-header__link" href="/nature/research-articles" data-track="click" data-track-action="research articles" data-track-label="link" data-test="explore-nav-item"> Research articles </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/news" data-track="click" data-track-action="news" data-track-label="link" data-test="explore-nav-item"> News </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/opinion" data-track="click" data-track-action="opinion" data-track-label="link" data-test="explore-nav-item"> Opinion </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/research-analysis" data-track="click" data-track-action="research analysis" data-track-label="link" data-test="explore-nav-item"> Research Analysis </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/careers" data-track="click" data-track-action="careers" data-track-label="link" data-test="explore-nav-item"> Careers </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/books-culture" data-track="click" data-track-action="books & culture" data-track-label="link" data-test="explore-nav-item"> Books & Culture </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nature/podcasts" data-track="click" data-track-action="podcasts" data-track-label="link" data-test="explore-nav-item"> Podcasts </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nature/videos" data-track="click" data-track-action="videos" data-track-label="link" data-test="explore-nav-item"> Videos </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nature/current-issue" data-track="click" data-track-action="current issue" data-track-label="link" data-test="explore-nav-item"> Current issue </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nature/browse-issues" data-track="click" data-track-action="browse issues" data-track-label="link" data-test="explore-nav-item"> Browse issues </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nature/collections" data-track="click" data-track-action="collections" data-track-label="link" data-test="explore-nav-item"> Collections </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nature/browse-subjects" data-track="click" data-track-action="subjects" data-track-label="link" data-test="explore-nav-item"> Subjects </a> </li> </ul> <ul class="c-header__list c-header__list--js-stack"> <li class="c-header__item"> <a class="c-header__link" href="https://www.facebook.com/Nature" data-track="click" data-track-action="facebook" data-track-label="link">Follow us on Facebook </a> </li> <li class="c-header__item"> <a class="c-header__link" href="https://twitter.com/nature" data-track="click" data-track-action="twitter" data-track-label="link">Follow us on Twitter </a> </li> <li class="c-header__item c-header__item--hide-lg"> <a data-test="subscribe-button" class="c-header__link" href="https://www.nature.com/nature/subscribe" data-track="click" data-track-action="subscribe" data-track-label="link"> <span>Subscribe</span> </a> </li> <li class="c-header__item c-header__item--hide-lg"> <a class="c-header__link" href="https://www.nature.com/my-account/alerts/subscribe-journal?list-id=1" rel="nofollow" data-track="click" data-track-action="Sign up for alerts" data-track-external data-track-label="link (mobile dropdown)">Sign up for alerts<svg role="img" aria-hidden="true" focusable="false" height="18" viewBox="0 0 18 18" width="18" xmlns="http://www.w3.org/2000/svg"><path d="m4 10h2.5c.27614237 0 .5.2238576.5.5s-.22385763.5-.5.5h-3.08578644l-1.12132034 1.1213203c-.18753638.1875364-.29289322.4418903-.29289322.7071068v.1715729h14v-.1715729c0-.2652165-.1053568-.5195704-.2928932-.7071068l-1.7071068-1.7071067v-3.4142136c0-2.76142375-2.2385763-5-5-5-2.76142375 0-5 2.23857625-5 5zm3 4c0 1.1045695.8954305 2 2 2s2-.8954305 2-2zm-5 0c-.55228475 0-1-.4477153-1-1v-.1715729c0-.530433.21071368-1.0391408.58578644-1.4142135l1.41421356-1.4142136v-3c0-3.3137085 2.6862915-6 6-6s6 2.6862915 6 6v3l1.4142136 1.4142136c.3750727.3750727.5857864.8837805.5857864 1.4142135v.1715729c0 .5522847-.4477153 1-1 1h-4c0 1.6568542-1.3431458 3-3 3-1.65685425 0-3-1.3431458-3-3z" fill="#fff"/></svg> </a> </li> <li class="c-header__item c-header__item--hide-lg"> <a class="c-header__link" href="https://www.nature.com/nature.rss" data-track="click" data-track-action="rss feed" data-track-label="link"> <span>RSS feed</span> </a> </li> </ul> </div> </nav> <nav class="c-header__dropdown" aria-labelledby="About-the-journal" id="about-the-journal" data-test="about-the-journal" data-track-component="nature-150-split-header"> <div class="c-header__container"> <h2 id="About-the-journal" class="c-header__heading c-header__heading--js-hide">About the journal</h2> <ul class="c-header__list c-header__list--js-stack"> <li class="c-header__item"> <a class="c-header__link" href="/nature/journal-staff" data-track="click" data-track-action="journal staff" data-track-label="link"> Journal Staff </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nature/editors" data-track="click" data-track-action="about the editors" data-track-label="link"> About the Editors </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nature/journal-information" data-track="click" data-track-action="journal information" data-track-label="link"> Journal Information </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nature/our-publishing-models" data-track="click" data-track-action="our publishing models" data-track-label="link"> Our publishing models </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nature/editorial-values-statement" data-track="click" data-track-action="editorial values statement" data-track-label="link"> Editorial Values Statement </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nature/journal-impact" data-track="click" data-track-action="journal metrics" data-track-label="link"> Journal Metrics </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nature/awards" data-track="click" data-track-action="awards" data-track-label="link"> Awards </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nature/contact" data-track="click" data-track-action="contact" data-track-label="link"> Contact </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nature/editorial-policies" data-track="click" data-track-action="editorial policies" data-track-label="link"> Editorial policies </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nature/history-of-nature" data-track="click" data-track-action="history of nature" data-track-label="link"> History of Nature </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nature/send-a-news-tip" data-track="click" data-track-action="send a news tip" data-track-label="link"> Send a news tip </a> </li> </ul> </div> </nav> <nav class="c-header__dropdown" aria-labelledby="Publish-with-us-label" id="publish-with-us" data-test="publish-with-us" data-track-component="nature-150-split-header"> <div class="c-header__container"> <h2 id="Publish-with-us-label" class="c-header__heading c-header__heading--js-hide">Publish with us</h2> <ul class="c-header__list c-header__list--js-stack"> <li class="c-header__item"> <a class="c-header__link" href="/nature/for-authors" data-track="click" data-track-action="for authors" data-track-label="link"> For Authors </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nature/for-referees" data-track="click" data-track-action="for referees" data-track-label="link"> For Referees </a> </li> <li class="c-header__item"> <a class="c-header__link" data-test="nature-author-services" data-track="nav_language_services" data-track-context="header publish with us dropdown menu" data-track-action="manuscript author services" data-track-label="link manuscript author services" href="https://authorservices.springernature.com/go/sn/?utm_source=For+Authors&utm_medium=Website_Nature&utm_campaign=Platform+Experimentation+2022&utm_id=PE2022"> Language editing services </a> </li> <li class="c-header__item c-header__item--keyline"> <a class="c-header__link" href="https://mts-nature.nature.com/" data-track="click_submit_manuscript" data-track-context="submit link in Nature header dropdown menu" data-track-action="submit manuscript" data-track-label="link (publish with us dropdown menu)" data-track-external data-gtm-criteo="submit-manuscript">Submit manuscript<svg role="img" aria-hidden="true" focusable="false" height="18" viewBox="0 0 18 18" width="18" xmlns="http://www.w3.org/2000/svg"><path d="m15 0c1.1045695 0 2 .8954305 2 2v5.5c0 .27614237-.2238576.5-.5.5s-.5-.22385763-.5-.5v-5.5c0-.51283584-.3860402-.93550716-.8833789-.99327227l-.1166211-.00672773h-9v3c0 1.1045695-.8954305 2-2 2h-3v10c0 .5128358.38604019.9355072.88337887.9932723l.11662113.0067277h7.5c.27614237 0 .5.2238576.5.5s-.22385763.5-.5.5h-7.5c-1.1045695 0-2-.8954305-2-2v-10.17157288c0-.53043297.21071368-1.0391408.58578644-1.41421356l3.82842712-3.82842712c.37507276-.37507276.88378059-.58578644 1.41421356-.58578644zm-.5442863 8.18867991 3.3545404 3.35454039c.2508994.2508994.2538696.6596433.0035959.909917-.2429543.2429542-.6561449.2462671-.9065387-.0089489l-2.2609825-2.3045251.0010427 7.2231989c0 .3569916-.2898381.6371378-.6473715.6371378-.3470771 0-.6473715-.2852563-.6473715-.6371378l-.0010428-7.2231995-2.2611222 2.3046654c-.2531661.2580415-.6562868.2592444-.9065605.0089707-.24295423-.2429542-.24865597-.6576651.0036132-.9099343l3.3546673-3.35466731c.2509089-.25090888.6612706-.25227691.9135302-.00001728zm-.9557137-3.18867991c.2761424 0 .5.22385763.5.5s-.2238576.5-.5.5h-6c-.27614237 0-.5-.22385763-.5-.5s.22385763-.5.5-.5zm-8.5-3.587-3.587 3.587h2.587c.55228475 0 1-.44771525 1-1zm8.5 1.587c.2761424 0 .5.22385763.5.5s-.2238576.5-.5.5h-6c-.27614237 0-.5-.22385763-.5-.5s.22385763-.5.5-.5z" fill="#fff"/></svg> </a> </li> </ul> </div> </nav> <div id="search-menu" class="c-header__dropdown c-header__dropdown--full-width" data-track-component="nature-150-split-header"> <div class="c-header__container"> <h2 class="c-header__visually-hidden">Search</h2> <form class="c-header__search-form" action="/search" method="get" role="search" autocomplete="off" data-test="inline-search"> <label class="c-header__heading" for="keywords">Search articles by subject, keyword or author</label> <div class="c-header__search-layout c-header__search-layout--max-width"> <div> <input type="text" required="" class="c-header__input" id="keywords" name="q" value=""> </div> <div class="c-header__search-layout"> <div> <label for="results-from" class="c-header__visually-hidden">Show results from</label> <select id="results-from" name="journal" class="c-header__select"> <option value="" selected>All journals</option> <option value="nature">This journal</option> </select> </div> <div> <button type="submit" class="c-header__search-button">Search</button> </div> </div> </div> </form> <div class="c-header__flush"> <a class="c-header__link" href="/search/advanced" data-track="click" data-track-action="advanced search" data-track-label="link"> Advanced search </a> </div> <h3 class="c-header__heading c-header__heading--keyline">Quick links</h3> <ul class="c-header__list"> <li><a class="c-header__link" href="/subjects" data-track="click" data-track-action="explore articles by subject" data-track-label="link">Explore articles by subject</a></li> <li><a class="c-header__link" href="/naturecareers" data-track="click" data-track-action="find a job" data-track-label="link">Find a job</a></li> <li><a class="c-header__link" href="/authors/index.html" data-track="click" data-track-action="guide to authors" data-track-label="link">Guide to authors</a></li> <li><a class="c-header__link" href="/authors/editorial_policies/" data-track="click" data-track-action="editorial policies" data-track-label="link">Editorial policies</a></li> </ul> </div> </div> <footer class="composite-layer" itemscope itemtype="http://schema.org/Periodical"> <meta itemprop="publisher" content="Springer Nature"> <div class="u-mt-16 u-mb-16"> <div class="u-container"> <div class="u-display-flex u-flex-wrap u-justify-content-space-between"> <p class="c-meta u-ma-0 u-flex-shrink"> <span class="c-meta__item"> Nature (<i>Nature</i>) </span> <span class="c-meta__item"> <abbr title="International Standard Serial Number">ISSN</abbr> <span itemprop="onlineIssn">1476-4687</span> (online) </span> <span class="c-meta__item"> <abbr title="International Standard Serial Number">ISSN</abbr> <span itemprop="printIssn">0028-0836</span> (print) </span> </p> </div> </div> </div> <div class="c-footer"> <div class="u-hide-print" data-track-component="footer"> <h2 class="u-visually-hidden">nature.com sitemap</h2> <div class="c-footer__container"> <div class="c-footer__grid c-footer__group--separator"> <div class="c-footer__group"> <h3 class="c-footer__heading u-mt-0">About Nature Portfolio</h3> <ul class="c-footer__list"> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/npg_/company_info/index.html" data-track="click" data-track-action="about us" data-track-label="link">About us</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/npg_/press_room/press_releases.html" data-track="click" data-track-action="press releases" data-track-label="link">Press releases</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://press.nature.com/" data-track="click" data-track-action="press office" data-track-label="link">Press office</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://support.nature.com/support/home" data-track="click" data-track-action="contact us" data-track-label="link">Contact us</a></li> </ul> </div> <div class="c-footer__group"> <h3 class="c-footer__heading u-mt-0">Discover content</h3> <ul class="c-footer__list"> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/siteindex" data-track="click" data-track-action="journals a-z" data-track-label="link">Journals A-Z</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/subjects" data-track="click" data-track-action="article by subject" data-track-label="link">Articles by subject</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.protocols.io/" data-track="click" data-track-action="protocols.io" data-track-label="link">protocols.io</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.natureindex.com/" data-track="click" data-track-action="nature index" data-track-label="link">Nature Index</a></li> </ul> </div> <div class="c-footer__group"> <h3 class="c-footer__heading u-mt-0">Publishing policies</h3> <ul class="c-footer__list"> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/authors/editorial_policies" data-track="click" data-track-action="Nature portfolio policies" data-track-label="link">Nature portfolio policies</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/nature-research/open-access" data-track="click" data-track-action="open access" data-track-label="link">Open access</a></li> </ul> </div> <div class="c-footer__group"> <h3 class="c-footer__heading u-mt-0">Author & Researcher services</h3> <ul class="c-footer__list"> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/reprints" data-track="click" data-track-action="reprints and permissions" data-track-label="link">Reprints & permissions</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.springernature.com/gp/authors/research-data" data-track="click" data-track-action="data research service" data-track-label="link">Research data</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://authorservices.springernature.com/language-editing/" data-track="click" data-track-action="language editing" data-track-label="link">Language editing</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://authorservices.springernature.com/scientific-editing/" data-track="click" data-track-action="scientific editing" data-track-label="link">Scientific editing</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://masterclasses.nature.com/" data-track="click" data-track-action="nature masterclasses" data-track-label="link">Nature Masterclasses</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://solutions.springernature.com/" data-track="click" data-track-action="research solutions" data-track-label="link">Research Solutions</a></li> </ul> </div> <div class="c-footer__group"> <h3 class="c-footer__heading u-mt-0">Libraries & institutions</h3> <ul class="c-footer__list"> <li class="c-footer__item"><a class="c-footer__link" href="https://www.springernature.com/gp/librarians/tools-services" data-track="click" data-track-action="librarian service and tools" data-track-label="link">Librarian service & tools</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.springernature.com/gp/librarians/manage-your-account/librarianportal" data-track="click" data-track-action="librarian portal" data-track-label="link">Librarian portal</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/openresearch/about-open-access/information-for-institutions" data-track="click" data-track-action="open research" data-track-label="link">Open research</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.springernature.com/gp/librarians/recommend-to-your-library" data-track="click" data-track-action="Recommend to library" data-track-label="link">Recommend to library</a></li> </ul> </div> <div class="c-footer__group"> <h3 class="c-footer__heading u-mt-0">Advertising & partnerships</h3> <ul class="c-footer__list"> <li class="c-footer__item"><a class="c-footer__link" href="https://partnerships.nature.com/product/digital-advertising/" data-track="click" data-track-action="advertising" data-track-label="link">Advertising</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://partnerships.nature.com/" data-track="click" data-track-action="partnerships and services" data-track-label="link">Partnerships & Services</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://partnerships.nature.com/media-kits/" data-track="click" data-track-action="media kits" data-track-label="link">Media kits</a> </li> <li class="c-footer__item"><a class="c-footer__link" href="https://partnerships.nature.com/product/branded-content-native-advertising/" data-track-action="branded content" data-track-label="link">Branded content</a></li> </ul> </div> <div class="c-footer__group"> <h3 class="c-footer__heading u-mt-0">Professional development</h3> <ul class="c-footer__list"> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/naturecareers/" data-track="click" data-track-action="nature careers" data-track-label="link">Nature Careers</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://conferences.nature.com" data-track="click" data-track-action="nature conferences" data-track-label="link">Nature<span class="u-visually-hidden"> </span> Conferences</a></li> </ul> </div> <div class="c-footer__group"> <h3 class="c-footer__heading u-mt-0">Regional websites</h3> <ul class="c-footer__list"> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/natafrica" data-track="click" data-track-action="nature africa" data-track-label="link">Nature Africa</a></li> <li class="c-footer__item"><a class="c-footer__link" href="http://www.naturechina.com" data-track="click" data-track-action="nature china" data-track-label="link">Nature China</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/nindia" data-track="click" data-track-action="nature india" data-track-label="link">Nature India</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/natitaly" data-track="click" data-track-action="nature Italy" data-track-label="link">Nature Italy</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.natureasia.com/ja-jp" data-track="click" data-track-action="nature japan" data-track-label="link">Nature Japan</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/nmiddleeast" data-track="click" data-track-action="nature middle east" data-track-label="link">Nature Middle East</a></li> </ul> </div> </div> </div> <div class="c-footer__container"> <ul class="c-footer__links"> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/info/privacy" data-track="click" data-track-action="privacy policy" data-track-label="link">Privacy Policy</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/info/cookies" data-track="click" data-track-action="use of cookies" data-track-label="link">Use of cookies</a></li> <li class="c-footer__item"> <button class="optanon-toggle-display c-footer__link" onclick="javascript:;" data-cc-action="preferences" data-track="click" data-track-action="manage cookies" data-track-label="link">Your privacy choices/Manage cookies </button> </li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/info/legal-notice" data-track="click" data-track-action="legal notice" data-track-label="link">Legal notice</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/info/accessibility-statement" data-track="click" data-track-action="accessibility statement" data-track-label="link">Accessibility statement</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/info/terms-and-conditions" data-track="click" data-track-action="terms and conditions" data-track-label="link">Terms & Conditions</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.springernature.com/ccpa" data-track="click" data-track-action="california privacy statement" data-track-label="link">Your US state privacy rights</a></li> </ul> </div> </div> <div class="c-footer__container"> <a href="https://www.springernature.com/" class="c-footer__link"> <img src="/static/images/logos/sn-logo-white-ea63208b81.svg" alt="Springer Nature" loading="lazy" width="200" height="20"/> </a> <p class="c-footer__legal" data-test="copyright">© 2025 Springer Nature Limited</p> </div> </div> <div class="u-visually-hidden" aria-hidden="true"> <?xml version="1.0" encoding="UTF-8"?><!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN" "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"><svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><defs><path id="a" d="M0 .74h56.72v55.24H0z"/></defs><symbol id="icon-access" viewBox="0 0 18 18"><path d="m14 8c.5522847 0 1 .44771525 1 1v7h2.5c.2761424 0 .5.2238576.5.5v1.5h-18v-1.5c0-.2761424.22385763-.5.5-.5h2.5v-7c0-.55228475.44771525-1 1-1s1 .44771525 1 1v6.9996556h8v-6.9996556c0-.55228475.4477153-1 1-1zm-8 0 2 1v5l-2 1zm6 0v7l-2-1v-5zm-2.42653766-7.59857636 7.03554716 4.92488299c.4162533.29137735.5174853.86502537.226108 1.28127873-.1721584.24594054-.4534847.39241464-.7536934.39241464h-14.16284822c-.50810197 0-.92-.41189803-.92-.92 0-.30020869.1464741-.58153499.39241464-.75369337l7.03554714-4.92488299c.34432015-.2410241.80260453-.2410241 1.14692468 0zm-.57346234 2.03988748-3.65526982 2.55868888h7.31053962z" fill-rule="evenodd"/></symbol><symbol id="icon-account" viewBox="0 0 18 18"><path d="m10.2379028 16.9048051c1.3083556-.2032362 2.5118471-.7235183 3.5294683-1.4798399-.8731327-2.5141501-2.0638925-3.935978-3.7673711-4.3188248v-1.27684611c1.1651924-.41183641 2-1.52307546 2-2.82929429 0-1.65685425-1.3431458-3-3-3-1.65685425 0-3 1.34314575-3 3 0 1.30621883.83480763 2.41745788 2 2.82929429v1.27684611c-1.70347856.3828468-2.89423845 1.8046747-3.76737114 4.3188248 1.01762123.7563216 2.22111275 1.2766037 3.52946833 1.4798399.40563808.0629726.81921174.0951949 1.23790281.0951949s.83226473-.0322223 1.2379028-.0951949zm4.3421782-2.1721994c1.4927655-1.4532925 2.419919-3.484675 2.419919-5.7326057 0-4.418278-3.581722-8-8-8s-8 3.581722-8 8c0 2.2479307.92715352 4.2793132 2.41991895 5.7326057.75688473-2.0164459 1.83949951-3.6071894 3.48926591-4.3218837-1.14534283-.70360829-1.90918486-1.96796271-1.90918486-3.410722 0-2.209139 1.790861-4 4-4s4 1.790861 4 4c0 1.44275929-.763842 2.70711371-1.9091849 3.410722 1.6497664.7146943 2.7323812 2.3054378 3.4892659 4.3218837zm-5.580081 3.2673943c-4.97056275 0-9-4.0294373-9-9 0-4.97056275 4.02943725-9 9-9 4.9705627 0 9 4.02943725 9 9 0 4.9705627-4.0294373 9-9 9z" fill-rule="evenodd"/></symbol><symbol id="icon-alert" viewBox="0 0 18 18"><path d="m4 10h2.5c.27614237 0 .5.2238576.5.5s-.22385763.5-.5.5h-3.08578644l-1.12132034 1.1213203c-.18753638.1875364-.29289322.4418903-.29289322.7071068v.1715729h14v-.1715729c0-.2652165-.1053568-.5195704-.2928932-.7071068l-1.7071068-1.7071067v-3.4142136c0-2.76142375-2.2385763-5-5-5-2.76142375 0-5 2.23857625-5 5zm3 4c0 1.1045695.8954305 2 2 2s2-.8954305 2-2zm-5 0c-.55228475 0-1-.4477153-1-1v-.1715729c0-.530433.21071368-1.0391408.58578644-1.4142135l1.41421356-1.4142136v-3c0-3.3137085 2.6862915-6 6-6s6 2.6862915 6 6v3l1.4142136 1.4142136c.3750727.3750727.5857864.8837805.5857864 1.4142135v.1715729c0 .5522847-.4477153 1-1 1h-4c0 1.6568542-1.3431458 3-3 3-1.65685425 0-3-1.3431458-3-3z" fill-rule="evenodd"/></symbol><symbol id="icon-arrow-broad" viewBox="0 0 16 16"><path d="m6.10307866 2.97190702v7.69043288l2.44965196-2.44676915c.38776071-.38730439 1.0088052-.39493524 1.38498697-.01919617.38609051.38563612.38643641 1.01053024-.00013864 1.39665039l-4.12239817 4.11754683c-.38616704.3857126-1.01187344.3861062-1.39846576-.0000311l-4.12258206-4.11773056c-.38618426-.38572979-.39254614-1.00476697-.01636437-1.38050605.38609047-.38563611 1.01018509-.38751562 1.4012233.00306241l2.44985644 2.4469734v-8.67638639c0-.54139983.43698413-.98042709.98493125-.98159081l7.89910522-.0043627c.5451687 0 .9871152.44142642.9871152.98595351s-.4419465.98595351-.9871152.98595351z" fill-rule="evenodd" transform="matrix(-1 0 0 -1 14 15)"/></symbol><symbol id="icon-arrow-down" viewBox="0 0 16 16"><path d="m3.28337502 11.5302405 4.03074001 4.176208c.37758093.3912076.98937525.3916069 1.367372-.0000316l4.03091977-4.1763942c.3775978-.3912252.3838182-1.0190815.0160006-1.4001736-.3775061-.39113013-.9877245-.39303641-1.3700683.003106l-2.39538585 2.4818345v-11.6147896l-.00649339-.11662112c-.055753-.49733869-.46370161-.88337888-.95867408-.88337888-.49497246 0-.90292107.38604019-.95867408.88337888l-.00649338.11662112v11.6147896l-2.39518594-2.4816273c-.37913917-.39282218-.98637524-.40056175-1.35419292-.0194697-.37750607.3911302-.37784433 1.0249269.00013556 1.4165479z" fill-rule="evenodd"/></symbol><symbol id="icon-arrow-left" viewBox="0 0 16 16"><path d="m4.46975946 3.28337502-4.17620792 4.03074001c-.39120768.37758093-.39160691.98937525.0000316 1.367372l4.1763942 4.03091977c.39122514.3775978 1.01908149.3838182 1.40017357.0160006.39113012-.3775061.3930364-.9877245-.00310603-1.3700683l-2.48183446-2.39538585h11.61478958l.1166211-.00649339c.4973387-.055753.8833789-.46370161.8833789-.95867408 0-.49497246-.3860402-.90292107-.8833789-.95867408l-.1166211-.00649338h-11.61478958l2.4816273-2.39518594c.39282216-.37913917.40056173-.98637524.01946965-1.35419292-.39113012-.37750607-1.02492687-.37784433-1.41654791.00013556z" fill-rule="evenodd"/></symbol><symbol id="icon-arrow-right" viewBox="0 0 16 16"><path d="m11.5302405 12.716625 4.176208-4.03074003c.3912076-.37758093.3916069-.98937525-.0000316-1.367372l-4.1763942-4.03091981c-.3912252-.37759778-1.0190815-.38381821-1.4001736-.01600053-.39113013.37750607-.39303641.98772445.003106 1.37006824l2.4818345 2.39538588h-11.6147896l-.11662112.00649339c-.49733869.055753-.88337888.46370161-.88337888.95867408 0 .49497246.38604019.90292107.88337888.95867408l.11662112.00649338h11.6147896l-2.4816273 2.39518592c-.39282218.3791392-.40056175.9863753-.0194697 1.3541929.3911302.3775061 1.0249269.3778444 1.4165479-.0001355z" fill-rule="evenodd"/></symbol><symbol id="icon-arrow-sub" viewBox="0 0 16 16"><path d="m7.89692134 4.97190702v7.69043288l-2.44965196-2.4467692c-.38776071-.38730434-1.0088052-.39493519-1.38498697-.0191961-.38609047.3856361-.38643643 1.0105302.00013864 1.3966504l4.12239817 4.1175468c.38616704.3857126 1.01187344.3861062 1.39846576-.0000311l4.12258202-4.1177306c.3861843-.3857298.3925462-1.0047669.0163644-1.380506-.3860905-.38563612-1.0101851-.38751563-1.4012233.0030624l-2.44985643 2.4469734v-8.67638639c0-.54139983-.43698413-.98042709-.98493125-.98159081l-7.89910525-.0043627c-.54516866 0-.98711517.44142642-.98711517.98595351s.44194651.98595351.98711517.98595351z" fill-rule="evenodd"/></symbol><symbol id="icon-arrow-up" viewBox="0 0 16 16"><path d="m12.716625 4.46975946-4.03074003-4.17620792c-.37758093-.39120768-.98937525-.39160691-1.367372.0000316l-4.03091981 4.1763942c-.37759778.39122514-.38381821 1.01908149-.01600053 1.40017357.37750607.39113012.98772445.3930364 1.37006824-.00310603l2.39538588-2.48183446v11.61478958l.00649339.1166211c.055753.4973387.46370161.8833789.95867408.8833789.49497246 0 .90292107-.3860402.95867408-.8833789l.00649338-.1166211v-11.61478958l2.39518592 2.4816273c.3791392.39282216.9863753.40056173 1.3541929.01946965.3775061-.39113012.3778444-1.02492687-.0001355-1.41654791z" fill-rule="evenodd"/></symbol><symbol id="icon-article" viewBox="0 0 18 18"><path d="m13 15v-12.9906311c0-.0073595-.0019884-.0093689.0014977-.0093689l-11.00158888.00087166v13.00506804c0 .5482678.44615281.9940603.99415146.9940603h10.27350412c-.1701701-.2941734-.2675644-.6357129-.2675644-1zm-12 .0059397v-13.00506804c0-.5562408.44704472-1.00087166.99850233-1.00087166h11.00299537c.5510129 0 .9985023.45190985.9985023 1.0093689v2.9906311h3v9.9914698c0 1.1065798-.8927712 2.0085302-1.9940603 2.0085302h-12.01187942c-1.09954652 0-1.99406028-.8927712-1.99406028-1.9940603zm13-9.0059397v9c0 .5522847.4477153 1 1 1s1-.4477153 1-1v-9zm-10-2h7v4h-7zm1 1v2h5v-2zm-1 4h7v1h-7zm0 2h7v1h-7zm0 2h7v1h-7z" fill-rule="evenodd"/></symbol><symbol id="icon-audio" viewBox="0 0 18 18"><path d="m13.0957477 13.5588459c-.195279.1937043-.5119137.193729-.7072234.0000551-.1953098-.193674-.1953346-.5077061-.0000556-.7014104 1.0251004-1.0168342 1.6108711-2.3905226 1.6108711-3.85745208 0-1.46604976-.5850634-2.83898246-1.6090736-3.85566829-.1951894-.19379323-.1950192-.50782531.0003802-.70141028.1953993-.19358497.512034-.19341614.7072234.00037709 1.2094886 1.20083761 1.901635 2.8250555 1.901635 4.55670148 0 1.73268608-.6929822 3.35779608-1.9037571 4.55880738zm2.1233994 2.1025159c-.195234.193749-.5118687.1938462-.7072235.0002171-.1953548-.1936292-.1954528-.5076613-.0002189-.7014104 1.5832215-1.5711805 2.4881302-3.6939808 2.4881302-5.96012998 0-2.26581266-.9046382-4.3883241-2.487443-5.95944795-.1952117-.19377107-.1950777-.50780316.0002993-.70141031s.5120117-.19347426.7072234.00029682c1.7683321 1.75528196 2.7800854 4.12911258 2.7800854 6.66056144 0 2.53182498-1.0120556 4.90597838-2.7808529 6.66132328zm-14.21898205-3.6854911c-.5523759 0-1.00016505-.4441085-1.00016505-.991944v-3.96777631c0-.54783558.44778915-.99194407 1.00016505-.99194407h2.0003301l5.41965617-3.8393633c.44948677-.31842296 1.07413994-.21516983 1.39520191.23062232.12116339.16823446.18629727.36981184.18629727.57655577v12.01603479c0 .5478356-.44778914.9919441-1.00016505.9919441-.20845738 0-.41170538-.0645985-.58133413-.184766l-5.41965617-3.8393633zm0-.991944h2.32084805l5.68047235 4.0241292v-12.01603479l-5.68047235 4.02412928h-2.32084805z" fill-rule="evenodd"/></symbol><symbol id="icon-block" viewBox="0 0 24 24"><path d="m0 0h24v24h-24z" fill-rule="evenodd"/></symbol><symbol id="icon-book" viewBox="0 0 18 18"><path d="m4 13v-11h1v11h11v-11h-13c-.55228475 0-1 .44771525-1 1v10.2675644c.29417337-.1701701.63571286-.2675644 1-.2675644zm12 1h-13c-.55228475 0-1 .4477153-1 1s.44771525 1 1 1h13zm0 3h-13c-1.1045695 0-2-.8954305-2-2v-12c0-1.1045695.8954305-2 2-2h13c.5522847 0 1 .44771525 1 1v14c0 .5522847-.4477153 1-1 1zm-8.5-13h6c.2761424 0 .5.22385763.5.5s-.2238576.5-.5.5h-6c-.27614237 0-.5-.22385763-.5-.5s.22385763-.5.5-.5zm1 2h4c.2761424 0 .5.22385763.5.5s-.2238576.5-.5.5h-4c-.27614237 0-.5-.22385763-.5-.5s.22385763-.5.5-.5z" fill-rule="evenodd"/></symbol><symbol id="icon-broad" viewBox="0 0 24 24"><path d="m9.18274226 7.81v7.7999954l2.48162734-2.4816273c.3928221-.3928221 1.0219731-.4005617 1.4030652-.0194696.3911301.3911301.3914806 1.0249268-.0001404 1.4165479l-4.17620796 4.1762079c-.39120769.3912077-1.02508144.3916069-1.41671995-.0000316l-4.1763942-4.1763942c-.39122514-.3912251-.39767006-1.0190815-.01657798-1.4001736.39113012-.3911301 1.02337106-.3930364 1.41951349.0031061l2.48183446 2.4818344v-8.7999954c0-.54911294.4426881-.99439484.99778758-.99557515l8.00221246-.00442485c.5522847 0 1 .44771525 1 1s-.4477153 1-1 1z" fill-rule="evenodd" transform="matrix(-1 0 0 -1 20.182742 24.805206)"/></symbol><symbol id="icon-calendar" viewBox="0 0 18 18"><path d="m12.5 0c.2761424 0 .5.21505737.5.49047852v.50952148h2c1.1072288 0 2 .89451376 2 2v12c0 1.1072288-.8945138 2-2 2h-12c-1.1072288 0-2-.8945138-2-2v-12c0-1.1072288.89451376-2 2-2h1v1h-1c-.55393837 0-1 .44579254-1 1v3h14v-3c0-.55393837-.4457925-1-1-1h-2v1.50952148c0 .27088381-.2319336.49047852-.5.49047852-.2761424 0-.5-.21505737-.5-.49047852v-3.01904296c0-.27088381.2319336-.49047852.5-.49047852zm3.5 7h-14v8c0 .5539384.44579254 1 1 1h12c.5539384 0 1-.4457925 1-1zm-11 6v1h-1v-1zm3 0v1h-1v-1zm3 0v1h-1v-1zm-6-2v1h-1v-1zm3 0v1h-1v-1zm6 0v1h-1v-1zm-3 0v1h-1v-1zm-3-2v1h-1v-1zm6 0v1h-1v-1zm-3 0v1h-1v-1zm-5.5-9c.27614237 0 .5.21505737.5.49047852v.50952148h5v1h-5v1.50952148c0 .27088381-.23193359.49047852-.5.49047852-.27614237 0-.5-.21505737-.5-.49047852v-3.01904296c0-.27088381.23193359-.49047852.5-.49047852z" fill-rule="evenodd"/></symbol><symbol id="icon-cart" viewBox="0 0 18 18"><path d="m5 14c1.1045695 0 2 .8954305 2 2s-.8954305 2-2 2-2-.8954305-2-2 .8954305-2 2-2zm10 0c1.1045695 0 2 .8954305 2 2s-.8954305 2-2 2-2-.8954305-2-2 .8954305-2 2-2zm-10 1c-.55228475 0-1 .4477153-1 1s.44771525 1 1 1 1-.4477153 1-1-.44771525-1-1-1zm10 0c-.5522847 0-1 .4477153-1 1s.4477153 1 1 1 1-.4477153 1-1-.4477153-1-1-1zm-12.82032249-15c.47691417 0 .88746157.33678127.98070211.80449199l.23823144 1.19501025 13.36277974.00045554c.5522847.00001882.9999659.44774934.9999659 1.00004222 0 .07084994-.0075361.14150708-.022474.2107727l-1.2908094 5.98534344c-.1007861.46742419-.5432548.80388386-1.0571651.80388386h-10.24805106c-.59173366 0-1.07142857.4477153-1.07142857 1 0 .5128358.41361449.9355072.94647737.9932723l.1249512.0067277h10.35933776c.2749512 0 .4979349.2228539.4979349.4978051 0 .2749417-.2227336.4978951-.4976753.4980063l-10.35959736.0041886c-1.18346732 0-2.14285714-.8954305-2.14285714-2 0-.6625717.34520317-1.24989198.87690425-1.61383592l-1.63768102-8.19004794c-.01312273-.06561364-.01950005-.131011-.0196107-.19547395l-1.71961253-.00064219c-.27614237 0-.5-.22385762-.5-.5 0-.27614237.22385763-.5.5-.5zm14.53193359 2.99950224h-13.11300004l1.20580469 6.02530174c.11024034-.0163252.22327998-.02480398.33844139-.02480398h10.27064786z"/></symbol><symbol id="icon-chevron-less" viewBox="0 0 10 10"><path d="m5.58578644 4-3.29289322-3.29289322c-.39052429-.39052429-.39052429-1.02368927 0-1.41421356s1.02368927-.39052429 1.41421356 0l4 4c.39052429.39052429.39052429 1.02368927 0 1.41421356l-4 4c-.39052429.39052429-1.02368927.39052429-1.41421356 0s-.39052429-1.02368927 0-1.41421356z" fill-rule="evenodd" transform="matrix(0 -1 -1 0 9 9)"/></symbol><symbol id="icon-chevron-more" viewBox="0 0 10 10"><path d="m5.58578644 6-3.29289322-3.29289322c-.39052429-.39052429-.39052429-1.02368927 0-1.41421356s1.02368927-.39052429 1.41421356 0l4 4c.39052429.39052429.39052429 1.02368927 0 1.41421356l-4 4.00000002c-.39052429.3905243-1.02368927.3905243-1.41421356 0s-.39052429-1.02368929 0-1.41421358z" fill-rule="evenodd" transform="matrix(0 1 -1 0 11 1)"/></symbol><symbol id="icon-chevron-right" viewBox="0 0 10 10"><path d="m5.96738168 4.70639573 2.39518594-2.41447274c.37913917-.38219212.98637524-.38972225 1.35419292-.01894278.37750606.38054586.37784436.99719163-.00013556 1.37821513l-4.03074001 4.06319683c-.37758093.38062133-.98937525.38100976-1.367372-.00003075l-4.03091981-4.06337806c-.37759778-.38063832-.38381821-.99150444-.01600053-1.3622839.37750607-.38054587.98772445-.38240057 1.37006824.00302197l2.39538588 2.4146743.96295325.98624457z" fill-rule="evenodd" transform="matrix(0 -1 1 0 0 10)"/></symbol><symbol id="icon-circle-fill" viewBox="0 0 16 16"><path d="m8 14c-3.3137085 0-6-2.6862915-6-6s2.6862915-6 6-6 6 2.6862915 6 6-2.6862915 6-6 6z" fill-rule="evenodd"/></symbol><symbol id="icon-circle" viewBox="0 0 16 16"><path d="m8 12c2.209139 0 4-1.790861 4-4s-1.790861-4-4-4-4 1.790861-4 4 1.790861 4 4 4zm0 2c-3.3137085 0-6-2.6862915-6-6s2.6862915-6 6-6 6 2.6862915 6 6-2.6862915 6-6 6z" fill-rule="evenodd"/></symbol><symbol id="icon-citation" viewBox="0 0 18 18"><path d="m8.63593473 5.99995183c2.20913897 0 3.99999997 1.79084375 3.99999997 3.99996146 0 1.40730761-.7267788 2.64486871-1.8254829 3.35783281 1.6240224.6764218 2.8754442 2.0093871 3.4610603 3.6412466l-1.0763845.000006c-.5310008-1.2078237-1.5108121-2.1940153-2.7691712-2.7181346l-.79002167-.329052v-1.023992l.63016577-.4089232c.8482885-.5504661 1.3698342-1.4895187 1.3698342-2.51898361 0-1.65683828-1.3431457-2.99996146-2.99999997-2.99996146-1.65685425 0-3 1.34312318-3 2.99996146 0 1.02946491.52154569 1.96851751 1.36983419 2.51898361l.63016581.4089232v1.023992l-.79002171.329052c-1.25835905.5241193-2.23817037 1.5103109-2.76917113 2.7181346l-1.07638453-.000006c.58561612-1.6318595 1.8370379-2.9648248 3.46106024-3.6412466-1.09870405-.7129641-1.82548287-1.9505252-1.82548287-3.35783281 0-2.20911771 1.790861-3.99996146 4-3.99996146zm7.36897597-4.99995183c1.1018574 0 1.9950893.89353404 1.9950893 2.00274083v5.994422c0 1.10608317-.8926228 2.00274087-1.9950893 2.00274087l-3.0049107-.0009037v-1l3.0049107.00091329c.5490631 0 .9950893-.44783123.9950893-1.00275046v-5.994422c0-.55646537-.4450595-1.00275046-.9950893-1.00275046h-14.00982141c-.54906309 0-.99508929.44783123-.99508929 1.00275046v5.9971821c0 .66666024.33333333.99999036 1 .99999036l2-.00091329v1l-2 .0009037c-1 0-2-.99999041-2-1.99998077v-5.9971821c0-1.10608322.8926228-2.00274083 1.99508929-2.00274083zm-8.5049107 2.9999711c.27614237 0 .5.22385547.5.5 0 .2761349-.22385763.5-.5.5h-4c-.27614237 0-.5-.2238651-.5-.5 0-.27614453.22385763-.5.5-.5zm3 0c.2761424 0 .5.22385547.5.5 0 .2761349-.2238576.5-.5.5h-1c-.27614237 0-.5-.2238651-.5-.5 0-.27614453.22385763-.5.5-.5zm4 0c.2761424 0 .5.22385547.5.5 0 .2761349-.2238576.5-.5.5h-2c-.2761424 0-.5-.2238651-.5-.5 0-.27614453.2238576-.5.5-.5z" fill-rule="evenodd"/></symbol><symbol id="icon-close" viewBox="0 0 16 16"><path d="m2.29679575 12.2772478c-.39658757.3965876-.39438847 1.0328109-.00062148 1.4265779.39651227.3965123 1.03246768.3934888 1.42657791-.0006214l4.27724782-4.27724787 4.2772478 4.27724787c.3965876.3965875 1.0328109.3943884 1.4265779.0006214.3965123-.3965122.3934888-1.0324677-.0006214-1.4265779l-4.27724787-4.2772478 4.27724787-4.27724782c.3965875-.39658757.3943884-1.03281091.0006214-1.42657791-.3965122-.39651226-1.0324677-.39348875-1.4265779.00062148l-4.2772478 4.27724782-4.27724782-4.27724782c-.39658757-.39658757-1.03281091-.39438847-1.42657791-.00062148-.39651226.39651227-.39348875 1.03246768.00062148 1.42657791l4.27724782 4.27724782z" fill-rule="evenodd"/></symbol><symbol id="icon-collections" viewBox="0 0 18 18"><path d="m15 4c1.1045695 0 2 .8954305 2 2v9c0 1.1045695-.8954305 2-2 2h-8c-1.1045695 0-2-.8954305-2-2h1c0 .5128358.38604019.9355072.88337887.9932723l.11662113.0067277h8c.5128358 0 .9355072-.3860402.9932723-.8833789l.0067277-.1166211v-9c0-.51283584-.3860402-.93550716-.8833789-.99327227l-.1166211-.00672773h-1v-1zm-4-3c1.1045695 0 2 .8954305 2 2v9c0 1.1045695-.8954305 2-2 2h-8c-1.1045695 0-2-.8954305-2-2v-9c0-1.1045695.8954305-2 2-2zm0 1h-8c-.51283584 0-.93550716.38604019-.99327227.88337887l-.00672773.11662113v9c0 .5128358.38604019.9355072.88337887.9932723l.11662113.0067277h8c.5128358 0 .9355072-.3860402.9932723-.8833789l.0067277-.1166211v-9c0-.51283584-.3860402-.93550716-.8833789-.99327227zm-1.5 7c.27614237 0 .5.22385763.5.5s-.22385763.5-.5.5h-5c-.27614237 0-.5-.22385763-.5-.5s.22385763-.5.5-.5zm0-2c.27614237 0 .5.22385763.5.5s-.22385763.5-.5.5h-5c-.27614237 0-.5-.22385763-.5-.5s.22385763-.5.5-.5zm0-2c.27614237 0 .5.22385763.5.5s-.22385763.5-.5.5h-5c-.27614237 0-.5-.22385763-.5-.5s.22385763-.5.5-.5z" fill-rule="evenodd"/></symbol><symbol id="icon-compare" viewBox="0 0 18 18"><path d="m12 3c3.3137085 0 6 2.6862915 6 6s-2.6862915 6-6 6c-1.0928452 0-2.11744941-.2921742-2.99996061-.8026704-.88181407.5102749-1.90678042.8026704-3.00003939.8026704-3.3137085 0-6-2.6862915-6-6s2.6862915-6 6-6c1.09325897 0 2.11822532.29239547 3.00096303.80325037.88158756-.51107621 1.90619177-.80325037 2.99903697-.80325037zm-6 1c-2.76142375 0-5 2.23857625-5 5 0 2.7614237 2.23857625 5 5 5 .74397391 0 1.44999672-.162488 2.08451611-.4539116-1.27652344-1.1000812-2.08451611-2.7287264-2.08451611-4.5460884s.80799267-3.44600721 2.08434391-4.5463015c-.63434719-.29121054-1.34037-.4536985-2.08434391-.4536985zm6 0c-.7439739 0-1.4499967.16248796-2.08451611.45391156 1.27652341 1.10008123 2.08451611 2.72872644 2.08451611 4.54608844s-.8079927 3.4460072-2.08434391 4.5463015c.63434721.2912105 1.34037001.4536985 2.08434391.4536985 2.7614237 0 5-2.2385763 5-5 0-2.76142375-2.2385763-5-5-5zm-1.4162763 7.0005324h-3.16744736c.15614659.3572676.35283837.6927622.58425872 1.0006671h1.99892988c.23142036-.3079049.42811216-.6433995.58425876-1.0006671zm.4162763-2.0005324h-4c0 .34288501.0345146.67770871.10025909 1.0011864h3.79948181c.0657445-.32347769.1002591-.65830139.1002591-1.0011864zm-.4158423-1.99953894h-3.16831543c-.13859957.31730812-.24521946.651783-.31578599.99935097h3.79988742c-.0705665-.34756797-.1771864-.68204285-.315786-.99935097zm-1.58295822-1.999926-.08316107.06199199c-.34550042.27081213-.65446126.58611297-.91825862.93727862h2.00044041c-.28418626-.37830727-.6207872-.71499149-.99902072-.99927061z" fill-rule="evenodd"/></symbol><symbol id="icon-download-file" viewBox="0 0 18 18"><path d="m10.0046024 0c.5497429 0 1.3179837.32258606 1.707238.71184039l4.5763192 4.57631922c.3931386.39313859.7118404 1.16760135.7118404 1.71431368v8.98899651c0 1.1092806-.8945138 2.0085302-1.9940603 2.0085302h-12.01187942c-1.10128908 0-1.99406028-.8926228-1.99406028-1.9950893v-14.00982141c0-1.10185739.88743329-1.99508929 1.99961498-1.99508929zm0 1h-7.00498742c-.55709576 0-.99961498.44271433-.99961498.99508929v14.00982141c0 .5500396.44491393.9950893.99406028.9950893h12.01187942c.5463747 0 .9940603-.4506622.9940603-1.0085302v-8.98899651c0-.28393444-.2150684-.80332809-.4189472-1.0072069l-4.5763192-4.57631922c-.2038461-.20384606-.718603-.41894717-1.0001312-.41894717zm-1.5046024 4c.27614237 0 .5.21637201.5.49209595v6.14827645l1.7462789-1.77990922c.1933927-.1971171.5125222-.19455839.7001689-.0069117.1932998.19329992.1910058.50899492-.0027774.70277812l-2.59089271 2.5908927c-.19483374.1948337-.51177825.1937771-.70556873-.0000133l-2.59099079-2.5909908c-.19484111-.1948411-.19043735-.5151448-.00279066-.70279146.19329987-.19329987.50465175-.19237083.70018565.00692852l1.74638684 1.78001764v-6.14827695c0-.27177709.23193359-.49209595.5-.49209595z" fill-rule="evenodd"/></symbol><symbol id="icon-download" viewBox="0 0 16 16"><path d="m12.9975267 12.999368c.5467123 0 1.0024733.4478567 1.0024733 1.000316 0 .5563109-.4488226 1.000316-1.0024733 1.000316h-9.99505341c-.54671233 0-1.00247329-.4478567-1.00247329-1.000316 0-.5563109.44882258-1.000316 1.00247329-1.000316zm-4.9975267-11.999368c.55228475 0 1 .44497754 1 .99589209v6.80214418l2.4816273-2.48241149c.3928222-.39294628 1.0219732-.4006883 1.4030652-.01947579.3911302.39125371.3914806 1.02525073-.0001404 1.41699553l-4.17620792 4.17752758c-.39120769.3913313-1.02508144.3917306-1.41671995-.0000316l-4.17639421-4.17771394c-.39122513-.39134876-.39767006-1.01940351-.01657797-1.40061601.39113012-.39125372 1.02337105-.3931606 1.41951349.00310701l2.48183446 2.48261871v-6.80214418c0-.55001601.44386482-.99589209 1-.99589209z" fill-rule="evenodd"/></symbol><symbol id="icon-editors" viewBox="0 0 18 18"><path d="m8.72592184 2.54588137c-.48811714-.34391207-1.08343326-.54588137-1.72592184-.54588137-1.65685425 0-3 1.34314575-3 3 0 1.02947485.5215457 1.96853646 1.3698342 2.51900785l.6301658.40892721v1.02400182l-.79002171.32905522c-1.93395773.8055207-3.20997829 2.7024791-3.20997829 4.8180274v.9009805h-1v-.9009805c0-2.5479714 1.54557359-4.79153984 3.82548288-5.7411543-1.09870406-.71297106-1.82548288-1.95054399-1.82548288-3.3578652 0-2.209139 1.790861-4 4-4 1.09079823 0 2.07961816.43662103 2.80122451 1.1446278-.37707584.09278571-.7373238.22835063-1.07530267.40125357zm-2.72592184 14.45411863h-1v-.9009805c0-2.5479714 1.54557359-4.7915398 3.82548288-5.7411543-1.09870406-.71297106-1.82548288-1.95054399-1.82548288-3.3578652 0-2.209139 1.790861-4 4-4s4 1.790861 4 4c0 1.40732121-.7267788 2.64489414-1.8254829 3.3578652 2.2799093.9496145 3.8254829 3.1931829 3.8254829 5.7411543v.9009805h-1v-.9009805c0-2.1155483-1.2760206-4.0125067-3.2099783-4.8180274l-.7900217-.3290552v-1.02400184l.6301658-.40892721c.8482885-.55047139 1.3698342-1.489533 1.3698342-2.51900785 0-1.65685425-1.3431458-3-3-3-1.65685425 0-3 1.34314575-3 3 0 1.02947485.5215457 1.96853646 1.3698342 2.51900785l.6301658.40892721v1.02400184l-.79002171.3290552c-1.93395773.8055207-3.20997829 2.7024791-3.20997829 4.8180274z" fill-rule="evenodd"/></symbol><symbol id="icon-email" viewBox="0 0 18 18"><path d="m16.0049107 2c1.1018574 0 1.9950893.89706013 1.9950893 2.00585866v9.98828264c0 1.1078052-.8926228 2.0058587-1.9950893 2.0058587h-14.00982141c-1.10185739 0-1.99508929-.8970601-1.99508929-2.0058587v-9.98828264c0-1.10780515.8926228-2.00585866 1.99508929-2.00585866zm0 1h-14.00982141c-.54871518 0-.99508929.44887827-.99508929 1.00585866v9.98828264c0 .5572961.44630695 1.0058587.99508929 1.0058587h14.00982141c.5487152 0 .9950893-.4488783.9950893-1.0058587v-9.98828264c0-.55729607-.446307-1.00585866-.9950893-1.00585866zm-.0049107 2.55749512v1.44250488l-7 4-7-4v-1.44250488l7 4z" fill-rule="evenodd"/></symbol><symbol id="icon-error" viewBox="0 0 18 18"><path d="m9 0c4.9705627 0 9 4.02943725 9 9 0 4.9705627-4.0294373 9-9 9-4.97056275 0-9-4.0294373-9-9 0-4.97056275 4.02943725-9 9-9zm2.8630343 4.71100931-2.8630343 2.86303426-2.86303426-2.86303426c-.39658757-.39658757-1.03281091-.39438847-1.4265779-.00062147-.39651227.39651226-.39348876 1.03246767.00062147 1.4265779l2.86303426 2.86303426-2.86303426 2.8630343c-.39658757.3965875-.39438847 1.0328109-.00062147 1.4265779.39651226.3965122 1.03246767.3934887 1.4265779-.0006215l2.86303426-2.8630343 2.8630343 2.8630343c.3965875.3965876 1.0328109.3943885 1.4265779.0006215.3965122-.3965123.3934887-1.0324677-.0006215-1.4265779l-2.8630343-2.8630343 2.8630343-2.86303426c.3965876-.39658757.3943885-1.03281091.0006215-1.4265779-.3965123-.39651227-1.0324677-.39348876-1.4265779.00062147z" fill-rule="evenodd"/></symbol><symbol id="icon-ethics" viewBox="0 0 18 18"><path d="m6.76384967 1.41421356.83301651-.8330165c.77492941-.77492941 2.03133823-.77492941 2.80626762 0l.8330165.8330165c.3750728.37507276.8837806.58578644 1.4142136.58578644h1.3496361c1.1045695 0 2 .8954305 2 2v1.34963611c0 .53043298.2107137 1.03914081.5857864 1.41421356l.8330165.83301651c.7749295.77492941.7749295 2.03133823 0 2.80626762l-.8330165.8330165c-.3750727.3750728-.5857864.8837806-.5857864 1.4142136v1.3496361c0 1.1045695-.8954305 2-2 2h-1.3496361c-.530433 0-1.0391408.2107137-1.4142136.5857864l-.8330165.8330165c-.77492939.7749295-2.03133821.7749295-2.80626762 0l-.83301651-.8330165c-.37507275-.3750727-.88378058-.5857864-1.41421356-.5857864h-1.34963611c-1.1045695 0-2-.8954305-2-2v-1.3496361c0-.530433-.21071368-1.0391408-.58578644-1.4142136l-.8330165-.8330165c-.77492941-.77492939-.77492941-2.03133821 0-2.80626762l.8330165-.83301651c.37507276-.37507275.58578644-.88378058.58578644-1.41421356v-1.34963611c0-1.1045695.8954305-2 2-2h1.34963611c.53043298 0 1.03914081-.21071368 1.41421356-.58578644zm-1.41421356 1.58578644h-1.34963611c-.55228475 0-1 .44771525-1 1v1.34963611c0 .79564947-.31607052 1.55871121-.87867966 2.12132034l-.8330165.83301651c-.38440512.38440512-.38440512 1.00764896 0 1.39205408l.8330165.83301646c.56260914.5626092.87867966 1.3256709.87867966 2.1213204v1.3496361c0 .5522847.44771525 1 1 1h1.34963611c.79564947 0 1.55871121.3160705 2.12132034.8786797l.83301651.8330165c.38440512.3844051 1.00764896.3844051 1.39205408 0l.83301646-.8330165c.5626092-.5626092 1.3256709-.8786797 2.1213204-.8786797h1.3496361c.5522847 0 1-.4477153 1-1v-1.3496361c0-.7956495.3160705-1.5587112.8786797-2.1213204l.8330165-.83301646c.3844051-.38440512.3844051-1.00764896 0-1.39205408l-.8330165-.83301651c-.5626092-.56260913-.8786797-1.32567087-.8786797-2.12132034v-1.34963611c0-.55228475-.4477153-1-1-1h-1.3496361c-.7956495 0-1.5587112-.31607052-2.1213204-.87867966l-.83301646-.8330165c-.38440512-.38440512-1.00764896-.38440512-1.39205408 0l-.83301651.8330165c-.56260913.56260914-1.32567087.87867966-2.12132034.87867966zm3.58698944 11.4960218c-.02081224.002155-.04199226.0030286-.06345763.002542-.98766446-.0223875-1.93408568-.3063547-2.75885125-.8155622-.23496767-.1450683-.30784554-.4531483-.16277726-.688116.14506827-.2349677.45314827-.3078455.68811595-.1627773.67447084.4164161 1.44758575.6483839 2.25617384.6667123.01759529.0003988.03495764.0017019.05204365.0038639.01713363-.0017748.03452416-.0026845.05212715-.0026845 2.4852814 0 4.5-2.0147186 4.5-4.5 0-1.04888973-.3593547-2.04134635-1.0074477-2.83787157-.1742817-.21419731-.1419238-.5291218.0722736-.70340353.2141973-.17428173.5291218-.14192375.7034035.07227357.7919032.97327203 1.2317706 2.18808682 1.2317706 3.46900153 0 3.0375661-2.4624339 5.5-5.5 5.5-.02146768 0-.04261937-.0013529-.06337445-.0039782zm1.57975095-10.78419583c.2654788.07599731.419084.35281842.3430867.61829728-.0759973.26547885-.3528185.419084-.6182973.3430867-.37560116-.10752146-.76586237-.16587951-1.15568824-.17249193-2.5587807-.00064534-4.58547766 2.00216524-4.58547766 4.49928198 0 .62691557.12797645 1.23496.37274865 1.7964426.11035133.2531347-.0053975.5477984-.25853224.6581497-.25313473.1103514-.54779841-.0053975-.65814974-.2585322-.29947131-.6869568-.45606667-1.43097603-.45606667-2.1960601 0-3.05211432 2.47714695-5.50006595 5.59399617-5.49921198.48576182.00815502.96289603.0795037 1.42238033.21103795zm-1.9766658 6.41091303 2.69835-2.94655317c.1788432-.21040373.4943901-.23598862.7047939-.05714545.2104037.17884318.2359886.49439014.0571454.70479387l-3.01637681 3.34277395c-.18039088.1999106-.48669547.2210637-.69285412.0478478l-1.93095347-1.62240047c-.21213845-.17678204-.24080048-.49206439-.06401844-.70420284.17678204-.21213844.49206439-.24080048.70420284-.06401844z" fill-rule="evenodd"/></symbol><symbol id="icon-expand"><path d="M7.498 11.918a.997.997 0 0 0-.003-1.411.995.995 0 0 0-1.412-.003l-4.102 4.102v-3.51A1 1 0 0 0 .98 10.09.992.992 0 0 0 0 11.092V17c0 .554.448 1.002 1.002 1.002h5.907c.554 0 1.002-.45 1.002-1.003 0-.539-.45-.978-1.006-.978h-3.51zm3.005-5.835a.997.997 0 0 0 .003 1.412.995.995 0 0 0 1.411.003l4.103-4.103v3.51a1 1 0 0 0 1.001 1.006A.992.992 0 0 0 18 6.91V1.002A1 1 0 0 0 17 0h-5.907a1.003 1.003 0 0 0-1.002 1.003c0 .539.45.978 1.006.978h3.51z" fill-rule="evenodd"/></symbol><symbol id="icon-explore" viewBox="0 0 18 18"><path d="m9 17c4.418278 0 8-3.581722 8-8s-3.581722-8-8-8-8 3.581722-8 8 3.581722 8 8 8zm0 1c-4.97056275 0-9-4.0294373-9-9 0-4.97056275 4.02943725-9 9-9 4.9705627 0 9 4.02943725 9 9 0 4.9705627-4.0294373 9-9 9zm0-2.5c-.27614237 0-.5-.2238576-.5-.5s.22385763-.5.5-.5c2.969509 0 5.400504-2.3575119 5.497023-5.31714844.0090007-.27599565.2400359-.49243782.5160315-.48343711.2759957.0090007.4924378.2400359.4834371.51603155-.114093 3.4985237-2.9869632 6.284554-6.4964916 6.284554zm-.29090657-12.99359748c.27587424-.01216621.50937715.20161139.52154336.47748563.01216621.27587423-.20161139.50937715-.47748563.52154336-2.93195733.12930094-5.25315116 2.54886451-5.25315116 5.49456849 0 .27614237-.22385763.5-.5.5s-.5-.22385763-.5-.5c0-3.48142406 2.74307146-6.34074398 6.20909343-6.49359748zm1.13784138 8.04763908-1.2004882-1.20048821c-.19526215-.19526215-.19526215-.51184463 0-.70710678s.51184463-.19526215.70710678 0l1.20048821 1.2004882 1.6006509-4.00162734-4.50670359 1.80268144-1.80268144 4.50670359zm4.10281269-6.50378907-2.6692597 6.67314927c-.1016411.2541026-.3029834.4554449-.557086.557086l-6.67314927 2.6692597 2.66925969-6.67314926c.10164107-.25410266.30298336-.45544495.55708602-.55708602z" fill-rule="evenodd"/></symbol><symbol id="icon-filter" viewBox="0 0 16 16"><path d="m14.9738641 0c.5667192 0 1.0261359.4477136 1.0261359 1 0 .24221858-.0902161.47620768-.2538899.65849851l-5.6938314 6.34147206v5.49997973c0 .3147562-.1520673.6111434-.4104543.7999971l-2.05227171 1.4999945c-.45337535.3313696-1.09655869.2418269-1.4365902-.1999993-.13321514-.1730955-.20522717-.3836284-.20522717-.5999978v-6.99997423l-5.69383133-6.34147206c-.3731872-.41563511-.32996891-1.0473954.09653074-1.41107611.18705584-.15950448.42716133-.2474224.67571519-.2474224zm-5.9218641 8.5h-2.105v6.491l.01238459.0070843.02053271.0015705.01955278-.0070558 2.0532976-1.4990996zm-8.02585008-7.5-.01564945.00240169 5.83249953 6.49759831h2.313l5.836-6.499z"/></symbol><symbol id="icon-home" viewBox="0 0 18 18"><path d="m9 5-6 6v5h4v-4h4v4h4v-5zm7 6.5857864v4.4142136c0 .5522847-.4477153 1-1 1h-5v-4h-2v4h-5c-.55228475 0-1-.4477153-1-1v-4.4142136c-.25592232 0-.51184464-.097631-.70710678-.2928932l-.58578644-.5857864c-.39052429-.3905243-.39052429-1.02368929 0-1.41421358l8.29289322-8.29289322 8.2928932 8.29289322c.3905243.39052429.3905243 1.02368928 0 1.41421358l-.5857864.5857864c-.1952622.1952622-.4511845.2928932-.7071068.2928932zm-7-9.17157284-7.58578644 7.58578644.58578644.5857864 7-6.99999996 7 6.99999996.5857864-.5857864z" fill-rule="evenodd"/></symbol><symbol id="icon-image" viewBox="0 0 18 18"><path d="m10.0046024 0c.5497429 0 1.3179837.32258606 1.707238.71184039l4.5763192 4.57631922c.3931386.39313859.7118404 1.16760135.7118404 1.71431368v8.98899651c0 1.1092806-.8945138 2.0085302-1.9940603 2.0085302h-12.01187942c-1.10128908 0-1.99406028-.8926228-1.99406028-1.9950893v-14.00982141c0-1.10185739.88743329-1.99508929 1.99961498-1.99508929zm-3.49645283 10.1752453-3.89407257 6.7495552c.11705545.048464.24538859.0751995.37998328.0751995h10.60290092l-2.4329715-4.2154691-1.57494129 2.7288098zm8.49779013 6.8247547c.5463747 0 .9940603-.4506622.9940603-1.0085302v-8.98899651c0-.28393444-.2150684-.80332809-.4189472-1.0072069l-4.5763192-4.57631922c-.2038461-.20384606-.718603-.41894717-1.0001312-.41894717h-7.00498742c-.55709576 0-.99961498.44271433-.99961498.99508929v13.98991071l4.50814957-7.81026689 3.08089884 5.33809539 1.57494129-2.7288097 3.5875735 6.2159812zm-3.0059397-11c1.1045695 0 2 .8954305 2 2s-.8954305 2-2 2-2-.8954305-2-2 .8954305-2 2-2zm0 1c-.5522847 0-1 .44771525-1 1s.4477153 1 1 1 1-.44771525 1-1-.4477153-1-1-1z" fill-rule="evenodd"/></symbol><symbol id="icon-info" viewBox="0 0 18 18"><path d="m9 0c4.9705627 0 9 4.02943725 9 9 0 4.9705627-4.0294373 9-9 9-4.97056275 0-9-4.0294373-9-9 0-4.97056275 4.02943725-9 9-9zm0 7h-1.5l-.11662113.00672773c-.49733868.05776511-.88337887.48043643-.88337887.99327227 0 .47338693.32893365.86994729.77070917.97358929l.1126697.01968298.11662113.00672773h.5v3h-.5l-.11662113.0067277c-.42082504.0488782-.76196299.3590206-.85696816.7639815l-.01968298.1126697-.00672773.1166211.00672773.1166211c.04887817.4208251.35902055.761963.76398144.8569682l.1126697.019683.11662113.0067277h3l.1166211-.0067277c.4973387-.0577651.8833789-.4804365.8833789-.9932723 0-.4733869-.3289337-.8699473-.7707092-.9735893l-.1126697-.019683-.1166211-.0067277h-.5v-4l-.00672773-.11662113c-.04887817-.42082504-.35902055-.76196299-.76398144-.85696816l-.1126697-.01968298zm0-3.25c-.69035594 0-1.25.55964406-1.25 1.25s.55964406 1.25 1.25 1.25 1.25-.55964406 1.25-1.25-.55964406-1.25-1.25-1.25z" fill-rule="evenodd"/></symbol><symbol id="icon-institution" viewBox="0 0 18 18"><path d="m7 16.9998189v-2.0003623h4v2.0003623h2v-3.0005434h-8v3.0005434zm-3-10.00181122h-1.52632364c-.27614237 0-.5-.22389817-.5-.50009056 0-.13995446.05863589-.27350497.16166338-.36820841l1.23156713-1.13206327h-2.36690687v12.00217346h3v-2.0003623h-3v-1.0001811h3v-1.0001811h1v-4.00072448h-1zm10 0v2.00036224h-1v4.00072448h1v1.0001811h3v1.0001811h-3v2.0003623h3v-12.00217346h-2.3695309l1.2315671 1.13206327c.2033191.186892.2166633.50325042.0298051.70660631-.0946863.10304615-.2282126.16169266-.3681417.16169266zm3-3.00054336c.5522847 0 1 .44779634 1 1.00018112v13.00235456h-18v-13.00235456c0-.55238478.44771525-1.00018112 1-1.00018112h3.45499992l4.20535144-3.86558216c.19129876-.17584288.48537447-.17584288.67667324 0l4.2053514 3.86558216zm-4 3.00054336h-8v1.00018112h8zm-2 6.00108672h1v-4.00072448h-1zm-1 0v-4.00072448h-2v4.00072448zm-3 0v-4.00072448h-1v4.00072448zm8-4.00072448c.5522847 0 1 .44779634 1 1.00018112v2.00036226h-2v-2.00036226c0-.55238478.4477153-1.00018112 1-1.00018112zm-12 0c.55228475 0 1 .44779634 1 1.00018112v2.00036226h-2v-2.00036226c0-.55238478.44771525-1.00018112 1-1.00018112zm5.99868798-7.81907007-5.24205601 4.81852671h10.48411203zm.00131202 3.81834559c-.55228475 0-1-.44779634-1-1.00018112s.44771525-1.00018112 1-1.00018112 1 .44779634 1 1.00018112-.44771525 1.00018112-1 1.00018112zm-1 11.00199236v1.0001811h2v-1.0001811z" fill-rule="evenodd"/></symbol><symbol id="icon-location" viewBox="0 0 18 18"><path d="m9.39521328 16.2688008c.79596342-.7770119 1.59208152-1.6299956 2.33285652-2.5295081 1.4020032-1.7024324 2.4323601-3.3624519 2.9354918-4.871847.2228715-.66861448.3364384-1.29323246.3364384-1.8674457 0-3.3137085-2.6862915-6-6-6-3.36356866 0-6 2.60156856-6 6 0 .57421324.11356691 1.19883122.3364384 1.8674457.50313169 1.5093951 1.53348863 3.1694146 2.93549184 4.871847.74077492.8995125 1.53689309 1.7524962 2.33285648 2.5295081.13694479.1336842.26895677.2602648.39521328.3793207.12625651-.1190559.25826849-.2456365.39521328-.3793207zm-.39521328 1.7311992s-7-6-7-11c0-4 3.13400675-7 7-7 3.8659932 0 7 3.13400675 7 7 0 5-7 11-7 11zm0-8c-1.65685425 0-3-1.34314575-3-3s1.34314575-3 3-3c1.6568542 0 3 1.34314575 3 3s-1.3431458 3-3 3zm0-1c1.1045695 0 2-.8954305 2-2s-.8954305-2-2-2-2 .8954305-2 2 .8954305 2 2 2z" fill-rule="evenodd"/></symbol><symbol id="icon-minus" viewBox="0 0 16 16"><path d="m2.00087166 7h11.99825664c.5527662 0 1.0008717.44386482 1.0008717 1 0 .55228475-.4446309 1-1.0008717 1h-11.99825664c-.55276616 0-1.00087166-.44386482-1.00087166-1 0-.55228475.44463086-1 1.00087166-1z" fill-rule="evenodd"/></symbol><symbol id="icon-newsletter" viewBox="0 0 18 18"><path d="m9 11.8482489 2-1.1428571v-1.7053918h-4v1.7053918zm-3-1.7142857v-2.1339632h6v2.1339632l3-1.71428574v-6.41967746h-12v6.41967746zm10-5.3839632 1.5299989.95624934c.2923814.18273835.4700011.50320827.4700011.8479983v8.44575236c0 1.1045695-.8954305 2-2 2h-14c-1.1045695 0-2-.8954305-2-2v-8.44575236c0-.34479003.1776197-.66525995.47000106-.8479983l1.52999894-.95624934v-2.75c0-.55228475.44771525-1 1-1h12c.5522847 0 1 .44771525 1 1zm0 1.17924764v3.07075236l-7 4-7-4v-3.07075236l-1 .625v8.44575236c0 .5522847.44771525 1 1 1h14c.5522847 0 1-.4477153 1-1v-8.44575236zm-10-1.92924764h6v1h-6zm-1 2h8v1h-8z" fill-rule="evenodd"/></symbol><symbol id="icon-orcid" viewBox="0 0 18 18"><path d="m9 1c4.418278 0 8 3.581722 8 8s-3.581722 8-8 8-8-3.581722-8-8 3.581722-8 8-8zm-2.90107518 5.2732337h-1.41865256v7.1712107h1.41865256zm4.55867178.02508949h-2.99247027v7.14612121h2.91062487c.7673039 0 1.4476365-.1483432 2.0410182-.445034s1.0511995-.7152915 1.3734671-1.2558144c.3222677-.540523.4833991-1.1603247.4833991-1.85942385 0-.68545815-.1602789-1.30270225-.4808414-1.85175082-.3205625-.54904856-.7707074-.97532211-1.3504481-1.27883343-.5797408-.30351132-1.2413173-.45526471-1.9847495-.45526471zm-.1892674 1.07933542c.7877654 0 1.4143875.22336734 1.8798852.67010873.4654977.44674138.698243 1.05546001.698243 1.82617415 0 .74343221-.2310402 1.34447791-.6931277 1.80315511-.4620874.4586773-1.0750688.6880124-1.8389625.6880124h-1.46810075v-4.98745039zm-5.08652545-3.71099194c-.21825533 0-.410525.08444276-.57681478.25333081-.16628977.16888806-.24943341.36245684-.24943341.58071218 0 .22345188.08314364.41961891.24943341.58850696.16628978.16888806.35855945.25333082.57681478.25333082.233845 0 .43390938-.08314364.60019916-.24943342.16628978-.16628977.24943342-.36375592.24943342-.59240436 0-.233845-.08314364-.43131115-.24943342-.59240437s-.36635416-.24163862-.60019916-.24163862z" fill-rule="evenodd"/></symbol><symbol id="icon-plus" viewBox="0 0 16 16"><path d="m2.00087166 7h4.99912834v-4.99912834c0-.55276616.44386482-1.00087166 1-1.00087166.55228475 0 1 .44463086 1 1.00087166v4.99912834h4.9991283c.5527662 0 1.0008717.44386482 1.0008717 1 0 .55228475-.4446309 1-1.0008717 1h-4.9991283v4.9991283c0 .5527662-.44386482 1.0008717-1 1.0008717-.55228475 0-1-.4446309-1-1.0008717v-4.9991283h-4.99912834c-.55276616 0-1.00087166-.44386482-1.00087166-1 0-.55228475.44463086-1 1.00087166-1z" fill-rule="evenodd"/></symbol><symbol id="icon-print" viewBox="0 0 18 18"><path d="m16.0049107 5h-14.00982141c-.54941618 0-.99508929.4467783-.99508929.99961498v6.00077002c0 .5570958.44271433.999615.99508929.999615h1.00491071v-3h12v3h1.0049107c.5494162 0 .9950893-.4467783.9950893-.999615v-6.00077002c0-.55709576-.4427143-.99961498-.9950893-.99961498zm-2.0049107-1v-2.00208688c0-.54777062-.4519464-.99791312-1.0085302-.99791312h-7.9829396c-.55661731 0-1.0085302.44910695-1.0085302.99791312v2.00208688zm1 10v2.0018986c0 1.103521-.9019504 1.9981014-2.0085302 1.9981014h-7.9829396c-1.1092806 0-2.0085302-.8867064-2.0085302-1.9981014v-2.0018986h-1.00491071c-1.10185739 0-1.99508929-.8874333-1.99508929-1.999615v-6.00077002c0-1.10435686.8926228-1.99961498 1.99508929-1.99961498h1.00491071v-2.00208688c0-1.10341695.90195036-1.99791312 2.0085302-1.99791312h7.9829396c1.1092806 0 2.0085302.89826062 2.0085302 1.99791312v2.00208688h1.0049107c1.1018574 0 1.9950893.88743329 1.9950893 1.99961498v6.00077002c0 1.1043569-.8926228 1.999615-1.9950893 1.999615zm-1-3h-10v5.0018986c0 .5546075.44702548.9981014 1.0085302.9981014h7.9829396c.5565964 0 1.0085302-.4491701 1.0085302-.9981014zm-9 1h8v1h-8zm0 2h5v1h-5zm9-5c-.5522847 0-1-.44771525-1-1s.4477153-1 1-1 1 .44771525 1 1-.4477153 1-1 1z" fill-rule="evenodd"/></symbol><symbol id="icon-search" viewBox="0 0 22 22"><path d="M21.697 20.261a1.028 1.028 0 01.01 1.448 1.034 1.034 0 01-1.448-.01l-4.267-4.267A9.812 9.811 0 010 9.812a9.812 9.811 0 1117.43 6.182zM9.812 18.222A8.41 8.41 0 109.81 1.403a8.41 8.41 0 000 16.82z" fill-rule="evenodd"/></symbol><symbol id="icon-social-facebook" viewBox="0 0 24 24"><path d="m6.00368507 20c-1.10660471 0-2.00368507-.8945138-2.00368507-1.9940603v-12.01187942c0-1.10128908.89451376-1.99406028 1.99406028-1.99406028h12.01187942c1.1012891 0 1.9940603.89451376 1.9940603 1.99406028v12.01187942c0 1.1012891-.88679 1.9940603-2.0032184 1.9940603h-2.9570132v-6.1960818h2.0797387l.3114113-2.414723h-2.39115v-1.54164807c0-.69911803.1941355-1.1755439 1.1966615-1.1755439l1.2786739-.00055875v-2.15974763l-.2339477-.02492088c-.3441234-.03134957-.9500153-.07025255-1.6293054-.07025255-1.8435726 0-3.1057323 1.12531866-3.1057323 3.19187953v1.78079225h-2.0850778v2.414723h2.0850778v6.1960818z" fill-rule="evenodd"/></symbol><symbol id="icon-social-twitter" viewBox="0 0 24 24"><path d="m18.8767135 6.87445248c.7638174-.46908424 1.351611-1.21167363 1.6250764-2.09636345-.7135248.43394112-1.50406.74870123-2.3464594.91677702-.6695189-.73342162-1.6297913-1.19486605-2.6922204-1.19486605-2.0399895 0-3.6933555 1.69603749-3.6933555 3.78628909 0 .29642457.0314329.58673729.0942985.8617704-3.06469922-.15890802-5.78835241-1.66547825-7.60988389-3.9574208-.3174714.56076194-.49978171 1.21167363-.49978171 1.90536824 0 1.31404706.65223085 2.47224203 1.64236444 3.15218497-.60350999-.0198635-1.17401554-.1925232-1.67222562-.47366811v.04583885c0 1.83355406 1.27302891 3.36609966 2.96411421 3.71294696-.31118484.0886217-.63651445.1329326-.97441718.1329326-.2357461 0-.47149219-.0229194-.69466516-.0672303.47149219 1.5065703 1.83253297 2.6036468 3.44975116 2.632678-1.2651707 1.0160946-2.85724264 1.6196394-4.5891906 1.6196394-.29861172 0-.59093688-.0152796-.88011875-.0504227 1.63450624 1.0726291 3.57548241 1.6990934 5.66104951 1.6990934 6.79263079 0 10.50641749-5.7711113 10.50641749-10.7751859l-.0094298-.48894775c.7229547-.53478659 1.3516109-1.20250585 1.8419628-1.96190282-.6632323.30100846-1.3751855.50422736-2.1217148.59590507z" fill-rule="evenodd"/></symbol><symbol id="icon-social-youtube" viewBox="0 0 24 24"><path d="m10.1415 14.3973208-.0005625-5.19318431 4.863375 2.60554491zm9.963-7.92753362c-.6845625-.73643756-1.4518125-.73990314-1.803375-.7826454-2.518875-.18714178-6.2971875-.18714178-6.2971875-.18714178-.007875 0-3.7861875 0-6.3050625.18714178-.352125.04274226-1.1188125.04620784-1.8039375.7826454-.5394375.56084773-.7149375 1.8344515-.7149375 1.8344515s-.18 1.49597903-.18 2.99138042v1.4024082c0 1.495979.18 2.9913804.18 2.9913804s.1755 1.2736038.7149375 1.8344515c.685125.7364376 1.5845625.7133337 1.9850625.7901542 1.44.1420891 6.12.1859866 6.12.1859866s3.78225-.005776 6.301125-.1929178c.3515625-.0433198 1.1188125-.0467854 1.803375-.783223.5394375-.5608477.7155-1.8344515.7155-1.8344515s.18-1.4954014.18-2.9913804v-1.4024082c0-1.49540139-.18-2.99138042-.18-2.99138042s-.1760625-1.27360377-.7155-1.8344515z" fill-rule="evenodd"/></symbol><symbol id="icon-subject-medicine" viewBox="0 0 18 18"><path d="m12.5 8h-6.5c-1.65685425 0-3 1.34314575-3 3v1c0 1.6568542 1.34314575 3 3 3h1v-2h-.5c-.82842712 0-1.5-.6715729-1.5-1.5s.67157288-1.5 1.5-1.5h1.5 2 1 2c1.6568542 0 3-1.34314575 3-3v-1c0-1.65685425-1.3431458-3-3-3h-2v2h1.5c.8284271 0 1.5.67157288 1.5 1.5s-.6715729 1.5-1.5 1.5zm-5.5-1v-1h-3.5c-1.38071187 0-2.5-1.11928813-2.5-2.5s1.11928813-2.5 2.5-2.5h1.02786405c.46573528 0 .92507448.10843528 1.34164078.31671843l1.13382424.56691212c.06026365-1.05041141.93116291-1.88363055 1.99667093-1.88363055 1.1045695 0 2 .8954305 2 2h2c2.209139 0 4 1.790861 4 4v1c0 2.209139-1.790861 4-4 4h-2v1h2c1.1045695 0 2 .8954305 2 2s-.8954305 2-2 2h-2c0 1.1045695-.8954305 2-2 2s-2-.8954305-2-2h-1c-2.209139 0-4-1.790861-4-4v-1c0-2.209139 1.790861-4 4-4zm0-2v-2.05652691c-.14564246-.03538148-.28733393-.08714006-.42229124-.15461871l-1.15541752-.57770876c-.27771087-.13885544-.583937-.21114562-.89442719-.21114562h-1.02786405c-.82842712 0-1.5.67157288-1.5 1.5s.67157288 1.5 1.5 1.5zm4 1v1h1.5c.2761424 0 .5-.22385763.5-.5s-.2238576-.5-.5-.5zm-1 1v-5c0-.55228475-.44771525-1-1-1s-1 .44771525-1 1v5zm-2 4v5c0 .5522847.44771525 1 1 1s1-.4477153 1-1v-5zm3 2v2h2c.5522847 0 1-.4477153 1-1s-.4477153-1-1-1zm-4-1v-1h-.5c-.27614237 0-.5.2238576-.5.5s.22385763.5.5.5zm-3.5-9h1c.27614237 0 .5.22385763.5.5s-.22385763.5-.5.5h-1c-.27614237 0-.5-.22385763-.5-.5s.22385763-.5.5-.5z" fill-rule="evenodd"/></symbol><symbol id="icon-success" viewBox="0 0 18 18"><path d="m9 0c4.9705627 0 9 4.02943725 9 9 0 4.9705627-4.0294373 9-9 9-4.97056275 0-9-4.0294373-9-9 0-4.97056275 4.02943725-9 9-9zm3.4860198 4.98163161-4.71802968 5.50657859-2.62834168-2.02300024c-.42862421-.36730544-1.06564993-.30775346-1.42283677.13301307-.35718685.44076653-.29927542 1.0958383.12934879 1.46314377l3.40735508 2.7323063c.42215801.3385221 1.03700951.2798252 1.38749189-.1324571l5.38450527-6.33394549c.3613513-.43716226.3096573-1.09278382-.115462-1.46437175-.4251192-.37158792-1.0626796-.31842941-1.4240309.11873285z" fill-rule="evenodd"/></symbol><symbol id="icon-table" viewBox="0 0 18 18"><path d="m16.0049107 2c1.1018574 0 1.9950893.89706013 1.9950893 2.00585866v9.98828264c0 1.1078052-.8926228 2.0058587-1.9950893 2.0058587l-4.0059107-.001.001.001h-1l-.001-.001h-5l.001.001h-1l-.001-.001-3.00391071.001c-1.10185739 0-1.99508929-.8970601-1.99508929-2.0058587v-9.98828264c0-1.10780515.8926228-2.00585866 1.99508929-2.00585866zm-11.0059107 5h-3.999v6.9941413c0 .5572961.44630695 1.0058587.99508929 1.0058587h3.00391071zm6 0h-5v8h5zm5.0059107-4h-4.0059107v3h5.001v1h-5.001v7.999l4.0059107.001c.5487152 0 .9950893-.4488783.9950893-1.0058587v-9.98828264c0-.55729607-.446307-1.00585866-.9950893-1.00585866zm-12.5049107 9c.27614237 0 .5.2238576.5.5s-.22385763.5-.5.5h-1c-.27614237 0-.5-.2238576-.5-.5s.22385763-.5.5-.5zm12 0c.2761424 0 .5.2238576.5.5s-.2238576.5-.5.5h-2c-.2761424 0-.5-.2238576-.5-.5s.2238576-.5.5-.5zm-6 0c.27614237 0 .5.2238576.5.5s-.22385763.5-.5.5h-2c-.27614237 0-.5-.2238576-.5-.5s.22385763-.5.5-.5zm-6-2c.27614237 0 .5.2238576.5.5s-.22385763.5-.5.5h-1c-.27614237 0-.5-.2238576-.5-.5s.22385763-.5.5-.5zm12 0c.2761424 0 .5.2238576.5.5s-.2238576.5-.5.5h-2c-.2761424 0-.5-.2238576-.5-.5s.2238576-.5.5-.5zm-6 0c.27614237 0 .5.2238576.5.5s-.22385763.5-.5.5h-2c-.27614237 0-.5-.2238576-.5-.5s.22385763-.5.5-.5zm-6-2c.27614237 0 .5.22385763.5.5s-.22385763.5-.5.5h-1c-.27614237 0-.5-.22385763-.5-.5s.22385763-.5.5-.5zm12 0c.2761424 0 .5.22385763.5.5s-.2238576.5-.5.5h-2c-.2761424 0-.5-.22385763-.5-.5s.2238576-.5.5-.5zm-6 0c.27614237 0 .5.22385763.5.5s-.22385763.5-.5.5h-2c-.27614237 0-.5-.22385763-.5-.5s.22385763-.5.5-.5zm1.499-5h-5v3h5zm-6 0h-3.00391071c-.54871518 0-.99508929.44887827-.99508929 1.00585866v1.99414134h3.999z" fill-rule="evenodd"/></symbol><symbol id="icon-tick-circle" viewBox="0 0 24 24"><path d="m12 2c5.5228475 0 10 4.4771525 10 10s-4.4771525 10-10 10-10-4.4771525-10-10 4.4771525-10 10-10zm0 1c-4.97056275 0-9 4.02943725-9 9 0 4.9705627 4.02943725 9 9 9 4.9705627 0 9-4.0294373 9-9 0-4.97056275-4.0294373-9-9-9zm4.2199868 5.36606669c.3613514-.43716226.9989118-.49032077 1.424031-.11873285s.4768133 1.02720949.115462 1.46437175l-6.093335 6.94397871c-.3622945.4128716-.9897871.4562317-1.4054264.0971157l-3.89719065-3.3672071c-.42862421-.3673054-.48653564-1.0223772-.1293488-1.4631437s.99421256-.5003185 1.42283677-.1330131l3.11097438 2.6987741z" fill-rule="evenodd"/></symbol><symbol id="icon-tick" viewBox="0 0 16 16"><path d="m6.76799012 9.21106946-3.1109744-2.58349728c-.42862421-.35161617-1.06564993-.29460792-1.42283677.12733148s-.29927541 1.04903009.1293488 1.40064626l3.91576307 3.23873978c.41034319.3393961 1.01467563.2976897 1.37450571-.0948578l6.10568327-6.660841c.3613513-.41848908.3096572-1.04610608-.115462-1.4018218-.4251192-.35571573-1.0626796-.30482786-1.424031.11366122z" fill-rule="evenodd"/></symbol><symbol id="icon-update" viewBox="0 0 18 18"><path d="m1 13v1c0 .5522847.44771525 1 1 1h14c.5522847 0 1-.4477153 1-1v-1h-1v-10h-14v10zm16-1h1v2c0 1.1045695-.8954305 2-2 2h-14c-1.1045695 0-2-.8954305-2-2v-2h1v-9c0-.55228475.44771525-1 1-1h14c.5522847 0 1 .44771525 1 1zm-1 0v1h-4.5857864l-1 1h-2.82842716l-1-1h-4.58578644v-1h5l1 1h2l1-1zm-13-8h12v7h-12zm1 1v5h10v-5zm1 1h4v1h-4zm0 2h4v1h-4z" fill-rule="evenodd"/></symbol><symbol id="icon-upload" viewBox="0 0 18 18"><path d="m10.0046024 0c.5497429 0 1.3179837.32258606 1.707238.71184039l4.5763192 4.57631922c.3931386.39313859.7118404 1.16760135.7118404 1.71431368v8.98899651c0 1.1092806-.8945138 2.0085302-1.9940603 2.0085302h-12.01187942c-1.10128908 0-1.99406028-.8926228-1.99406028-1.9950893v-14.00982141c0-1.10185739.88743329-1.99508929 1.99961498-1.99508929zm0 1h-7.00498742c-.55709576 0-.99961498.44271433-.99961498.99508929v14.00982141c0 .5500396.44491393.9950893.99406028.9950893h12.01187942c.5463747 0 .9940603-.4506622.9940603-1.0085302v-8.98899651c0-.28393444-.2150684-.80332809-.4189472-1.0072069l-4.5763192-4.57631922c-.2038461-.20384606-.718603-.41894717-1.0001312-.41894717zm-1.85576936 4.14572769c.19483374-.19483375.51177826-.19377714.70556874.00001334l2.59099082 2.59099079c.1948411.19484112.1904373.51514474.0027906.70279143-.1932998.19329987-.5046517.19237083-.7001856-.00692852l-1.74638687-1.7800176v6.14827687c0 .2717771-.23193359.492096-.5.492096-.27614237 0-.5-.216372-.5-.492096v-6.14827641l-1.74627892 1.77990922c-.1933927.1971171-.51252214.19455839-.70016883.0069117-.19329987-.19329988-.19100584-.50899493.00277731-.70277808z" fill-rule="evenodd"/></symbol><symbol id="icon-video" viewBox="0 0 18 18"><path d="m16.0049107 2c1.1018574 0 1.9950893.89706013 1.9950893 2.00585866v9.98828264c0 1.1078052-.8926228 2.0058587-1.9950893 2.0058587h-14.00982141c-1.10185739 0-1.99508929-.8970601-1.99508929-2.0058587v-9.98828264c0-1.10780515.8926228-2.00585866 1.99508929-2.00585866zm0 1h-14.00982141c-.54871518 0-.99508929.44887827-.99508929 1.00585866v9.98828264c0 .5572961.44630695 1.0058587.99508929 1.0058587h14.00982141c.5487152 0 .9950893-.4488783.9950893-1.0058587v-9.98828264c0-.55729607-.446307-1.00585866-.9950893-1.00585866zm-8.30912922 2.24944486 4.60460462 2.73982242c.9365543.55726659.9290753 1.46522435 0 2.01804082l-4.60460462 2.7398224c-.93655425.5572666-1.69578148.1645632-1.69578148-.8937585v-5.71016863c0-1.05087579.76670616-1.446575 1.69578148-.89375851zm-.67492769.96085624v5.5750128c0 .2995102-.10753745.2442517.16578928.0847713l4.58452283-2.67497259c.3050619-.17799716.3051624-.21655446 0-.39461026l-4.58452283-2.67497264c-.26630747-.15538481-.16578928-.20699944-.16578928.08477139z" fill-rule="evenodd"/></symbol><symbol id="icon-warning" viewBox="0 0 18 18"><path d="m9 11.75c.69035594 0 1.25.5596441 1.25 1.25s-.55964406 1.25-1.25 1.25-1.25-.5596441-1.25-1.25.55964406-1.25 1.25-1.25zm.41320045-7.75c.55228475 0 1.00000005.44771525 1.00000005 1l-.0034543.08304548-.3333333 4c-.043191.51829212-.47645714.91695452-.99654578.91695452h-.15973424c-.52008864 0-.95335475-.3986624-.99654576-.91695452l-.33333333-4c-.04586475-.55037702.36312325-1.03372649.91350028-1.07959124l.04148683-.00259031zm-.41320045 14c-4.97056275 0-9-4.0294373-9-9 0-4.97056275 4.02943725-9 9-9 4.9705627 0 9 4.02943725 9 9 0 4.9705627-4.0294373 9-9 9z" fill-rule="evenodd"/></symbol><symbol id="icon-checklist-banner" viewBox="0 0 56.69 56.69"><path style="fill:none" d="M0 0h56.69v56.69H0z"/><clipPath id="b"><use xlink:href="#a" style="overflow:visible"/></clipPath><path d="M21.14 34.46c0-6.77 5.48-12.26 12.24-12.26s12.24 5.49 12.24 12.26-5.48 12.26-12.24 12.26c-6.76-.01-12.24-5.49-12.24-12.26zm19.33 10.66 10.23 9.22s1.21 1.09 2.3-.12l2.09-2.32s1.09-1.21-.12-2.3l-10.23-9.22m-19.29-5.92c0-4.38 3.55-7.94 7.93-7.94s7.93 3.55 7.93 7.94c0 4.38-3.55 7.94-7.93 7.94-4.38-.01-7.93-3.56-7.93-7.94zm17.58 12.99 4.14-4.81" style="clip-path:url(#b);fill:none;stroke:#01324b;stroke-width:2;stroke-linecap:round"/><path d="M8.26 9.75H28.6M8.26 15.98H28.6m-20.34 6.2h12.5m14.42-5.2V4.86s0-2.93-2.93-2.93H4.13s-2.93 0-2.93 2.93v37.57s0 2.93 2.93 2.93h15.01M8.26 9.75H28.6M8.26 15.98H28.6m-20.34 6.2h12.5" style="clip-path:url(#b);fill:none;stroke:#01324b;stroke-width:2;stroke-linecap:round;stroke-linejoin:round"/></symbol><symbol id="icon-chevron-down" viewBox="0 0 16 16"><path d="m5.58578644 3-3.29289322-3.29289322c-.39052429-.39052429-.39052429-1.02368927 0-1.41421356s1.02368927-.39052429 1.41421356 0l4 4c.39052429.39052429.39052429 1.02368927 0 1.41421356l-4 4c-.39052429.39052429-1.02368927.39052429-1.41421356 0s-.39052429-1.02368927 0-1.41421356z" fill-rule="evenodd" transform="matrix(0 1 -1 0 11 1)"/></symbol><symbol id="icon-eds-i-arrow-right-medium" viewBox="0 0 24 24"><path d="m12.728 3.293 7.98 7.99a.996.996 0 0 1 .281.561l.011.157c0 .32-.15.605-.384.788l-7.908 7.918a1 1 0 0 1-1.416-1.414L17.576 13H4a1 1 0 0 1 0-2h13.598l-6.285-6.293a1 1 0 0 1-.082-1.32l.083-.095a1 1 0 0 1 1.414.001Z"/></symbol><symbol id="icon-eds-i-chevron-down-medium" viewBox="0 0 16 16"><path d="m2.00087166 7h4.99912834v-4.99912834c0-.55276616.44386482-1.00087166 1-1.00087166.55228475 0 1 .44463086 1 1.00087166v4.99912834h4.9991283c.5527662 0 1.0008717.44386482 1.0008717 1 0 .55228475-.4446309 1-1.0008717 1h-4.9991283v4.9991283c0 .5527662-.44386482 1.0008717-1 1.0008717-.55228475 0-1-.4446309-1-1.0008717v-4.9991283h-4.99912834c-.55276616 0-1.00087166-.44386482-1.00087166-1 0-.55228475.44463086-1 1.00087166-1z" fill-rule="evenodd"/></symbol><symbol id="icon-eds-i-chevron-down-small" viewBox="0 0 16 16"><path d="M13.692 5.278a1 1 0 0 1 .03 1.414L9.103 11.51a1.491 1.491 0 0 1-2.188.019L2.278 6.692a1 1 0 0 1 1.444-1.384L8 9.771l4.278-4.463a1 1 0 0 1 1.318-.111l.096.081Z"/></symbol><symbol id="icon-eds-i-chevron-right-medium" viewBox="0 0 10 10"><path d="m5.96738168 4.70639573 2.39518594-2.41447274c.37913917-.38219212.98637524-.38972225 1.35419292-.01894278.37750606.38054586.37784436.99719163-.00013556 1.37821513l-4.03074001 4.06319683c-.37758093.38062133-.98937525.38100976-1.367372-.00003075l-4.03091981-4.06337806c-.37759778-.38063832-.38381821-.99150444-.01600053-1.3622839.37750607-.38054587.98772445-.38240057 1.37006824.00302197l2.39538588 2.4146743.96295325.98624457z" fill-rule="evenodd" transform="matrix(0 -1 1 0 0 10)"/></symbol><symbol id="icon-eds-i-chevron-right-small" viewBox="0 0 10 10"><path d="m5.96738168 4.70639573 2.39518594-2.41447274c.37913917-.38219212.98637524-.38972225 1.35419292-.01894278.37750606.38054586.37784436.99719163-.00013556 1.37821513l-4.03074001 4.06319683c-.37758093.38062133-.98937525.38100976-1.367372-.00003075l-4.03091981-4.06337806c-.37759778-.38063832-.38381821-.99150444-.01600053-1.3622839.37750607-.38054587.98772445-.38240057 1.37006824.00302197l2.39538588 2.4146743.96295325.98624457z" fill-rule="evenodd" transform="matrix(0 -1 1 0 0 10)"/></symbol><symbol id="icon-eds-i-chevron-up-medium" viewBox="0 0 16 16"><path d="m2.00087166 7h11.99825664c.5527662 0 1.0008717.44386482 1.0008717 1 0 .55228475-.4446309 1-1.0008717 1h-11.99825664c-.55276616 0-1.00087166-.44386482-1.00087166-1 0-.55228475.44463086-1 1.00087166-1z" fill-rule="evenodd"/></symbol><symbol id="icon-eds-i-close-medium" viewBox="0 0 16 16"><path d="m2.29679575 12.2772478c-.39658757.3965876-.39438847 1.0328109-.00062148 1.4265779.39651227.3965123 1.03246768.3934888 1.42657791-.0006214l4.27724782-4.27724787 4.2772478 4.27724787c.3965876.3965875 1.0328109.3943884 1.4265779.0006214.3965123-.3965122.3934888-1.0324677-.0006214-1.4265779l-4.27724787-4.2772478 4.27724787-4.27724782c.3965875-.39658757.3943884-1.03281091.0006214-1.42657791-.3965122-.39651226-1.0324677-.39348875-1.4265779.00062148l-4.2772478 4.27724782-4.27724782-4.27724782c-.39658757-.39658757-1.03281091-.39438847-1.42657791-.00062148-.39651226.39651227-.39348875 1.03246768.00062148 1.42657791l4.27724782 4.27724782z" fill-rule="evenodd"/></symbol><symbol id="icon-eds-i-download-medium" viewBox="0 0 16 16"><path d="m12.9975267 12.999368c.5467123 0 1.0024733.4478567 1.0024733 1.000316 0 .5563109-.4488226 1.000316-1.0024733 1.000316h-9.99505341c-.54671233 0-1.00247329-.4478567-1.00247329-1.000316 0-.5563109.44882258-1.000316 1.00247329-1.000316zm-4.9975267-11.999368c.55228475 0 1 .44497754 1 .99589209v6.80214418l2.4816273-2.48241149c.3928222-.39294628 1.0219732-.4006883 1.4030652-.01947579.3911302.39125371.3914806 1.02525073-.0001404 1.41699553l-4.17620792 4.17752758c-.39120769.3913313-1.02508144.3917306-1.41671995-.0000316l-4.17639421-4.17771394c-.39122513-.39134876-.39767006-1.01940351-.01657797-1.40061601.39113012-.39125372 1.02337105-.3931606 1.41951349.00310701l2.48183446 2.48261871v-6.80214418c0-.55001601.44386482-.99589209 1-.99589209z" fill-rule="evenodd"/></symbol><symbol id="icon-eds-i-info-filled-medium" viewBox="0 0 18 18"><path d="m9 0c4.9705627 0 9 4.02943725 9 9 0 4.9705627-4.0294373 9-9 9-4.97056275 0-9-4.0294373-9-9 0-4.97056275 4.02943725-9 9-9zm0 7h-1.5l-.11662113.00672773c-.49733868.05776511-.88337887.48043643-.88337887.99327227 0 .47338693.32893365.86994729.77070917.97358929l.1126697.01968298.11662113.00672773h.5v3h-.5l-.11662113.0067277c-.42082504.0488782-.76196299.3590206-.85696816.7639815l-.01968298.1126697-.00672773.1166211.00672773.1166211c.04887817.4208251.35902055.761963.76398144.8569682l.1126697.019683.11662113.0067277h3l.1166211-.0067277c.4973387-.0577651.8833789-.4804365.8833789-.9932723 0-.4733869-.3289337-.8699473-.7707092-.9735893l-.1126697-.019683-.1166211-.0067277h-.5v-4l-.00672773-.11662113c-.04887817-.42082504-.35902055-.76196299-.76398144-.85696816l-.1126697-.01968298zm0-3.25c-.69035594 0-1.25.55964406-1.25 1.25s.55964406 1.25 1.25 1.25 1.25-.55964406 1.25-1.25-.55964406-1.25-1.25-1.25z" fill-rule="evenodd"/></symbol><symbol id="icon-eds-i-mail-medium" viewBox="0 0 24 24"><path d="m19.462 0c1.413 0 2.538 1.184 2.538 2.619v12.762c0 1.435-1.125 2.619-2.538 2.619h-16.924c-1.413 0-2.538-1.184-2.538-2.619v-12.762c0-1.435 1.125-2.619 2.538-2.619zm.538 5.158-7.378 6.258a2.549 2.549 0 0 1 -3.253-.008l-7.369-6.248v10.222c0 .353.253.619.538.619h16.924c.285 0 .538-.266.538-.619zm-.538-3.158h-16.924c-.264 0-.5.228-.534.542l8.65 7.334c.2.165.492.165.684.007l8.656-7.342-.001-.025c-.044-.3-.274-.516-.531-.516z"/></symbol><symbol id="icon-eds-i-menu-medium" viewBox="0 0 24 24"><path d="M21 4a1 1 0 0 1 0 2H3a1 1 0 1 1 0-2h18Zm-4 7a1 1 0 0 1 0 2H3a1 1 0 0 1 0-2h14Zm4 7a1 1 0 0 1 0 2H3a1 1 0 0 1 0-2h18Z"/></symbol><symbol id="icon-eds-i-search-medium" viewBox="0 0 24 24"><path d="M11 1c5.523 0 10 4.477 10 10 0 2.4-.846 4.604-2.256 6.328l3.963 3.965a1 1 0 0 1-1.414 1.414l-3.965-3.963A9.959 9.959 0 0 1 11 21C5.477 21 1 16.523 1 11S5.477 1 11 1Zm0 2a8 8 0 1 0 0 16 8 8 0 0 0 0-16Z"/></symbol><symbol id="icon-eds-i-user-single-medium" viewBox="0 0 24 24"><path d="M12 1a5 5 0 1 1 0 10 5 5 0 0 1 0-10Zm0 2a3 3 0 1 0 0 6 3 3 0 0 0 0-6Zm-.406 9.008a8.965 8.965 0 0 1 6.596 2.494A9.161 9.161 0 0 1 21 21.025V22a1 1 0 0 1-1 1H4a1 1 0 0 1-1-1v-.985c.05-4.825 3.815-8.777 8.594-9.007Zm.39 1.992-.299.006c-3.63.175-6.518 3.127-6.678 6.775L5 21h13.998l-.009-.268a7.157 7.157 0 0 0-1.97-4.573l-.214-.213A6.967 6.967 0 0 0 11.984 14Z"/></symbol><symbol id="icon-eds-i-warning-filled-medium" viewBox="0 0 18 18"><path d="m9 11.75c.69035594 0 1.25.5596441 1.25 1.25s-.55964406 1.25-1.25 1.25-1.25-.5596441-1.25-1.25.55964406-1.25 1.25-1.25zm.41320045-7.75c.55228475 0 1.00000005.44771525 1.00000005 1l-.0034543.08304548-.3333333 4c-.043191.51829212-.47645714.91695452-.99654578.91695452h-.15973424c-.52008864 0-.95335475-.3986624-.99654576-.91695452l-.33333333-4c-.04586475-.55037702.36312325-1.03372649.91350028-1.07959124l.04148683-.00259031zm-.41320045 14c-4.97056275 0-9-4.0294373-9-9 0-4.97056275 4.02943725-9 9-9 4.9705627 0 9 4.02943725 9 9 0 4.9705627-4.0294373 9-9 9z" fill-rule="evenodd"/></symbol><symbol id="icon-expand-image" viewBox="0 0 18 18"><path d="m7.49754099 11.9178212c.38955542-.3895554.38761957-1.0207846-.00290473-1.4113089-.39324695-.3932469-1.02238878-.3918247-1.41130883-.0029047l-4.10273549 4.1027355.00055454-3.5103985c.00008852-.5603185-.44832171-1.006032-1.00155062-1.0059446-.53903074.0000852-.97857527.4487442-.97866268 1.0021075l-.00093318 5.9072465c-.00008751.553948.44841131 1.001882 1.00174994 1.0017946l5.906983-.0009331c.5539233-.0000875 1.00197907-.4486389 1.00206646-1.0018679.00008515-.5390307-.45026621-.9784332-1.00588841-.9783454l-3.51010549.0005545zm3.00571741-5.83449376c-.3895554.38955541-.3876196 1.02078454.0029047 1.41130883.393247.39324696 1.0223888.39182478 1.4113089.00290473l4.1027355-4.10273549-.0005546 3.5103985c-.0000885.56031852.4483217 1.006032 1.0015506 1.00594461.5390308-.00008516.9785753-.44874418.9786627-1.00210749l.0009332-5.9072465c.0000875-.553948-.4484113-1.00188204-1.0017499-1.00179463l-5.906983.00093313c-.5539233.00008751-1.0019791.44863892-1.0020665 1.00186784-.0000852.53903074.4502662.97843325 1.0058884.97834547l3.5101055-.00055449z" fill-rule="evenodd"/></symbol><symbol id="icon-github" viewBox="0 0 100 100"><path fill-rule="evenodd" clip-rule="evenodd" d="M48.854 0C21.839 0 0 22 0 49.217c0 21.756 13.993 40.172 33.405 46.69 2.427.49 3.316-1.059 3.316-2.362 0-1.141-.08-5.052-.08-9.127-13.59 2.934-16.42-5.867-16.42-5.867-2.184-5.704-5.42-7.17-5.42-7.17-4.448-3.015.324-3.015.324-3.015 4.934.326 7.523 5.052 7.523 5.052 4.367 7.496 11.404 5.378 14.235 4.074.404-3.178 1.699-5.378 3.074-6.6-10.839-1.141-22.243-5.378-22.243-24.283 0-5.378 1.94-9.778 5.014-13.2-.485-1.222-2.184-6.275.486-13.038 0 0 4.125-1.304 13.426 5.052a46.97 46.97 0 0 1 12.214-1.63c4.125 0 8.33.571 12.213 1.63 9.302-6.356 13.427-5.052 13.427-5.052 2.67 6.763.97 11.816.485 13.038 3.155 3.422 5.015 7.822 5.015 13.2 0 18.905-11.404 23.06-22.324 24.283 1.78 1.548 3.316 4.481 3.316 9.126 0 6.6-.08 11.897-.08 13.526 0 1.304.89 2.853 3.316 2.364 19.412-6.52 33.405-24.935 33.405-46.691C97.707 22 75.788 0 48.854 0z"/></symbol><symbol id="icon-springer-arrow-left"><path d="M15 7a1 1 0 000-2H3.385l2.482-2.482a.994.994 0 00.02-1.403 1.001 1.001 0 00-1.417 0L.294 5.292a1.001 1.001 0 000 1.416l4.176 4.177a.991.991 0 001.4.016 1 1 0 00-.003-1.42L3.385 7H15z"/></symbol><symbol id="icon-springer-arrow-right"><path d="M1 7a1 1 0 010-2h11.615l-2.482-2.482a.994.994 0 01-.02-1.403 1.001 1.001 0 011.417 0l4.176 4.177a1.001 1.001 0 010 1.416l-4.176 4.177a.991.991 0 01-1.4.016 1 1 0 01.003-1.42L12.615 7H1z"/></symbol><symbol id="icon-submit-open" viewBox="0 0 16 17"><path d="M12 0c1.10457 0 2 .895431 2 2v5c0 .276142-.223858.5-.5.5S13 7.276142 13 7V2c0-.512836-.38604-.935507-.883379-.993272L12 1H6v3c0 1.10457-.89543 2-2 2H1v8c0 .512836.38604.935507.883379.993272L2 15h6.5c.276142 0 .5.223858.5.5s-.223858.5-.5.5H2c-1.104569 0-2-.89543-2-2V5.828427c0-.530433.210714-1.039141.585786-1.414213L4.414214.585786C4.789286.210714 5.297994 0 5.828427 0H12Zm3.41 11.14c.250899.250899.250274.659726 0 .91-.242954.242954-.649606.245216-.9-.01l-1.863671-1.900337.001043 5.869492c0 .356992-.289839.637138-.647372.637138-.347077 0-.647371-.285256-.647371-.637138l-.001043-5.869492L9.5 12.04c-.253166.258042-.649726.260274-.9.01-.242954-.242954-.252269-.657731 0-.91l2.942184-2.951303c.250908-.250909.66127-.252277.91353-.000017L15.41 11.14ZM5 1.413 1.413 5H4c.552285 0 1-.447715 1-1V1.413ZM11 3c.276142 0 .5.223858.5.5s-.223858.5-.5.5H7.5c-.276142 0-.5-.223858-.5-.5s.223858-.5.5-.5H11Zm0 2c.276142 0 .5.223858.5.5s-.223858.5-.5.5H7.5c-.276142 0-.5-.223858-.5-.5s.223858-.5.5-.5H11Z" fill-rule="nonzero"/></symbol></svg> </div> </footer> <div class="c-site-messages message u-hide u-hide-print c-site-messages--nature-briefing c-site-messages--nature-briefing-email-variant c-site-messages--nature-briefing-redesign-2020 sans-serif " data-component-id="nature-briefing-banner" data-component-expirydays="30" data-component-trigger-scroll-percentage="15" data-track="in-view" data-track-action="in-view" data-track-category="nature briefing" data-track-label="Briefing banner visible: Flagship"> <div class="c-site-messages__banner-large"> <div class="c-site-messages__close-container"> <button class="c-site-messages__close" data-track="click" data-track-category="nature briefing" data-track-label="Briefing banner dismiss: Flagship"> <svg width="25px" height="25px" focusable="false" aria-hidden="true" viewBox="0 0 25 25" version="1.1" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <title>Close banner</title> <defs></defs> <g stroke="none" stroke-width="1" fill="none" fill-rule="evenodd"> <rect opacity="0" x="0" y="0" width="25" height="25"></rect> <path d="M6.29679575,16.2772478 C5.90020818,16.6738354 5.90240728,17.3100587 6.29617427,17.7038257 C6.69268654,18.100338 7.32864195,18.0973145 7.72275218,17.7032043 L12,13.4259564 L16.2772478,17.7032043 C16.6738354,18.0997918 17.3100587,18.0975927 17.7038257,17.7038257 C18.100338,17.3073135 18.0973145,16.671358 17.7032043,16.2772478 L13.4259564,12 L17.7032043,7.72275218 C18.0997918,7.32616461 18.0975927,6.68994127 17.7038257,6.29617427 C17.3073135,5.89966201 16.671358,5.90268552 16.2772478,6.29679575 L12,10.5740436 L7.72275218,6.29679575 C7.32616461,5.90020818 6.68994127,5.90240728 6.29617427,6.29617427 C5.89966201,6.69268654 5.90268552,7.32864195 6.29679575,7.72275218 L10.5740436,12 L6.29679575,16.2772478 Z" fill="#ffffff"></path> </g> </svg> <span class="visually-hidden">Close</span> </button> </div> <div class="c-site-messages__form-container"> <div class="grid grid-12 last"> <div class="grid grid-4"> <img alt="Nature Briefing" src="/static/images/logos/nature-briefing-logo-n150-white-d81c9da3ec.svg" width="250" height="40"> <p class="c-site-messages--nature-briefing__strapline extra-tight-line-height">Sign up for the <em>Nature Briefing</em> newsletter — what matters in science, free to your inbox daily.</p> </div> <div class="grid grid-8 last"> <form action="https://www.nature.com/briefing/briefing" method="post" data-location="banner" data-track="signup_nature_briefing_banner" data-track-action="transmit-form" data-track-category="nature briefing" data-track-label="Briefing banner submit: Flagship"> <input id="briefing-banner-signup-form-input-track-originReferralPoint" type="hidden" name="track_originReferralPoint" value="MainBriefingBanner"> <input id="briefing-banner-signup-form-input-track-formType" type="hidden" name="track_formType" value="DirectEmailBanner"> <input type="hidden" value="false" name="gdpr_tick" id="gdpr_tick_banner"> <input type="hidden" value="false" name="marketing" id="marketing_input_banner"> <input type="hidden" value="false" name="marketing_tick" id="marketing_tick_banner"> <input type="hidden" value="MainBriefingBanner" name="brieferEntryPoint" id="brieferEntryPoint_banner"> <label class="nature-briefing-banner__email-label" for="emailAddress">Email address</label> <div class="nature-briefing-banner__email-wrapper"> <input class="nature-briefing-banner__email-input box-sizing text14" type="email" id="emailAddress" name="emailAddress" value="" placeholder="e.g. jo.smith@university.ac.uk" required data-test-element="briefing-emailbanner-email-input"> <input type="hidden" value="true" name="N:nature_briefing_daily" id="defaultNewsletter_banner"> <button type="submit" class="nature-briefing-banner__submit-button box-sizing text14" data-test-element="briefing-emailbanner-signup-button">Sign up</button> </div> <div class="nature-briefing-banner__checkbox-wrapper grid grid-12 last"> <input class="nature-briefing-banner__checkbox-checkbox" id="gdpr-briefing-banner-checkbox" type="checkbox" name="gdpr" value="true" data-test-element="briefing-emailbanner-gdpr-checkbox" required> <label class="nature-briefing-banner__checkbox-label box-sizing text13 sans-serif block tighten-line-height" for="gdpr-briefing-banner-checkbox">I agree my information will be processed in accordance with the <em>Nature</em> and Springer Nature Limited <a href="https://www.nature.com/info/privacy">Privacy Policy</a>.</label> </div> </form> </div> </div> </div> </div> <div class="c-site-messages__banner-small"> <div class="c-site-messages__close-container"> <button class="c-site-messages__close" data-track="click" data-track-category="nature briefing" data-track-label="Briefing banner dismiss: Flagship"> <svg width="25px" height="25px" focusable="false" aria-hidden="true" viewBox="0 0 25 25" version="1.1" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <title>Close banner</title> <defs></defs> <g stroke="none" stroke-width="1" fill="none" fill-rule="evenodd"> <rect opacity="0" x="0" y="0" width="25" height="25"></rect> <path d="M6.29679575,16.2772478 C5.90020818,16.6738354 5.90240728,17.3100587 6.29617427,17.7038257 C6.69268654,18.100338 7.32864195,18.0973145 7.72275218,17.7032043 L12,13.4259564 L16.2772478,17.7032043 C16.6738354,18.0997918 17.3100587,18.0975927 17.7038257,17.7038257 C18.100338,17.3073135 18.0973145,16.671358 17.7032043,16.2772478 L13.4259564,12 L17.7032043,7.72275218 C18.0997918,7.32616461 18.0975927,6.68994127 17.7038257,6.29617427 C17.3073135,5.89966201 16.671358,5.90268552 16.2772478,6.29679575 L12,10.5740436 L7.72275218,6.29679575 C7.32616461,5.90020818 6.68994127,5.90240728 6.29617427,6.29617427 C5.89966201,6.69268654 5.90268552,7.32864195 6.29679575,7.72275218 L10.5740436,12 L6.29679575,16.2772478 Z" fill="#ffffff"></path> </g> </svg> <span class="visually-hidden">Close</span> </button> </div> <div class="c-site-messages__content text14"> <span class="c-site-messages--nature-briefing__strapline strong">Get the most important science stories of the day, free in your inbox.</span> <a class="nature-briefing__link text14 sans-serif" data-track="click" data-track-category="nature briefing" data-track-label="Small-screen banner CTA to site" data-test-element="briefing-banner-link" target="_blank" rel="noreferrer noopener" href="https://www.nature.com/briefing/signup/?brieferEntryPoint=MainBriefingBanner">Sign up for Nature Briefing </a> </div> </div> </div> <noscript> <img hidden src="https://verify.nature.com/verify/nature.png" width="0" height="0" style="display: none" alt=""> </noscript> <script src="//content.readcube.com/ping?doi=10.1038/s41586-022-05248-1&format=js&last_modified=2022-10-19" async></script> </body> </html>

CINXE.COM

Measured proton electromagnetic structure deviates from theoretical predictions | Nature