CINXE.COM
Impact of multiple beam-beam encounters on LHC absolute-luminosity calibrations by the van der Meer method - CERN Document Server
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"> <!--[if IEMobile 7]><html class="iem7" xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en" xmlns:og="http://ogp.me/ns#" xmlns:fb="http://ogp.me/ns/fb#"><![endif]--> <!--[if lte IE 6]><html class="ie6 ie6-7 ie6-8" xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en" xmlns:og="http://ogp.me/ns#" xmlns:fb="http://ogp.me/ns/fb#"><![endif]--> <!--[if (IE 7)&(!IEMobile)]><html class="ie7 ie6-7 ie6-8" xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en" xmlns:og="http://ogp.me/ns#" xmlns:fb="http://ogp.me/ns/fb#"><![endif]--> <!--[if IE 8]><html class="ie8 ie6-8" xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en" xmlns:og="http://ogp.me/ns#" xmlns:fb="http://ogp.me/ns/fb#"><![endif]--> <!--[if (gte IE 9)|(gt IEMobile 7)]><!--><html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en" xmlns:og="http://ogp.me/ns#" xmlns:fb="http://ogp.me/ns/fb#"><!--<![endif]--> <head> <title>Impact of multiple beam-beam encounters on LHC absolute-luminosity calibrations by the van der Meer method - CERN Document Server</title> <link href='https://framework.web.cern.ch/framework/2.0/fonts/PTSansWeb/PTSansWeb.css' rel='stylesheet' type='text/css' /> <link rel="stylesheet" href="http://cds.cern.ch/img/invenio.css?v=20141127" type="text/css" /> <link rel="stylesheet" href="http://cds.cern.ch/img/cern_theme/css/cern_theme.css?v=20141127" type="text/css" /> <link rel="stylesheet"href="/css/font-awesome.min.css"> <meta http-equiv="X-UA-Compatible" content="IE=Edge"/> <link rel="stylesheet" href="http://cds.cern.ch/img/cern_toolbar/css/toolbar.css" type="text/css" /> <!--[if lt IE 8]> <link href="http://cds.cern.ch/img/cern_toolbar/css/toolbar-ie.css" rel="stylesheet" type="text/css"> <![endif]--> <!--[if lt IE 8]> <link rel="stylesheet" type="text/css" href="http://cds.cern.ch/img/invenio-ie7.css" /> <![endif]--> <!--[if gt IE 8]> <style type="text/css">div.restrictedflag {filter:none;}</style> <![endif]--> <link rel="canonical" href="http://cds.cern.ch/record/2912185" /> <link rel="alternate" hreflang="el" href="http://cds.cern.ch/record/2912185?ln=el" /> <link rel="alternate" hreflang="fr" href="http://cds.cern.ch/record/2912185?ln=fr" /> <link rel="alternate" hreflang="bg" href="http://cds.cern.ch/record/2912185?ln=bg" /> <link rel="alternate" hreflang="zh-TW" href="http://cds.cern.ch/record/2912185?ln=zh_TW" /> <link rel="alternate" hreflang="pt" href="http://cds.cern.ch/record/2912185?ln=pt" /> <link rel="alternate" hreflang="no" href="http://cds.cern.ch/record/2912185?ln=no" /> <link rel="alternate" hreflang="hr" href="http://cds.cern.ch/record/2912185?ln=hr" /> <link rel="alternate" hreflang="ca" href="http://cds.cern.ch/record/2912185?ln=ca" /> <link rel="alternate" hreflang="de" href="http://cds.cern.ch/record/2912185?ln=de" /> <link rel="alternate" hreflang="it" href="http://cds.cern.ch/record/2912185?ln=it" /> <link rel="alternate" hreflang="zh-CN" href="http://cds.cern.ch/record/2912185?ln=zh_CN" /> <link rel="alternate" hreflang="sv" href="http://cds.cern.ch/record/2912185?ln=sv" /> <link rel="alternate" hreflang="sk" href="http://cds.cern.ch/record/2912185?ln=sk" /> <link rel="alternate" hreflang="en" href="http://cds.cern.ch/record/2912185?ln=en" /> <link rel="alternate" hreflang="pl" href="http://cds.cern.ch/record/2912185?ln=pl" /> <link rel="alternate" hreflang="ru" href="http://cds.cern.ch/record/2912185?ln=ru" /> <link rel="alternate" hreflang="ka" href="http://cds.cern.ch/record/2912185?ln=ka" /> <link rel="alternate" hreflang="ja" href="http://cds.cern.ch/record/2912185?ln=ja" /> <link rel="alternate" hreflang="es" href="http://cds.cern.ch/record/2912185?ln=es" /> <link rel="alternate" type="application/rss+xml" title="CERN Document Server RSS" href="/rss?ln=en" /> <link rel="search" type="application/opensearchdescription+xml" href="http://cds.cern.ch/opensearchdescription" title="CERN Document Server" /> <link rel="unapi-server" type="application/xml" title="unAPI" href="http://cds.cern.ch/unapi" /> <link rel="apple-touch-icon" href="/apple-touch-icon.png"/> <link rel="apple-touch-icon-precomposed" href="/apple-touch-icon-precomposed.png"/> <meta http-equiv="Content-Type" content="text/html; charset=utf-8" /> <meta http-equiv="Content-Language" content="en" /> <meta name="description" content="The LHC particle-physics program requires that the delivered luminosity be measured to an absolute accuracy in the 1% range. To this effect, the absolute luminosity scale at each interaction point (IP) is calibrated by scanning the beams across each other according to the van der Meer method. During such scans, the orbit and the shape of the colliding bunches are significantly distorted by their mutual electromagnetic interaction; the resulting biases, if left uncorrected, would absorb a major fraction of the systematic-uncertainty budget on the luminosity calibration. The present report summarizes recent studies of such biases in the single-IP configuration, and generalizes it to the more typical case where bunches collide not only at the scanning IP, but also experience additional head-on encounters at up to 3 locations around the ring. Simulations carried out with the COherent-Multibunch Beam-beam Interaction multiparticle code (COMBI) are used to characterize the dependence of beam--beam-induced luminosity-calibration biases on the phase advance between IPs, and to derive scaling laws that relate the multi-IP case to the simpler and better understood single-IP configuration. Wanczyk, Joanna; Dabrowski, Anne; Stickland, David; Pieloni, Tatiana; Kozanecki, Witold; Buffat, Xavier" /> <meta name="keywords" content="luminosity, collider, simulation, distributed, acceleration, bunching" /> <script type="text/javascript" src="http://cds.cern.ch/js/jquery.min.js"></script> <!-- WebNews CSS library --> <link rel="stylesheet" href="http://cds.cern.ch/img/webnews.css" type="text/css" /> <!-- WebNews JS library --> <script type="text/javascript" src="http://cds.cern.ch/js/webnews.js?v=20131009"></script> <meta property="fb:app_id" content="137353533001720"/> <script type="text/x-mathjax-config"> MathJax.Hub.Config({ tex2jax: {inlineMath: [['$','$']], processEscapes: true}, showProcessingMessages: false, messageStyle: "none" }); </script> <script src="/MathJax/MathJax.js?config=TeX-AMS_CHTML" type="text/javascript"> </script> <!-- GoogleScholar --> <meta content="JACOW : Impact of multiple beam-beam encounters on LHC absolute-luminosity calibrations by the van der Meer method" name="citation_title" /> <meta content="Wanczyk, Joanna" name="citation_author" /> <meta content="Stickland, David" name="citation_author" /> <meta content="Dabrowski, Anne" name="citation_author" /> <meta content="Pieloni, Tatiana" name="citation_author" /> <meta content="Buffat, Xavier" name="citation_author" /> <meta content="Kozanecki, Witold" name="citation_author" /> <meta content="10.18429/JACoW-IPAC2023-WEPA053" name="citation_doi" /> <meta content="JACoW IPAC" name="citation_journal_title" /> <meta content="2023" name="citation_volume" /> <meta content="WEPA053" name="citation_firstpage" /> <meta content="2023" name="citation_publication_date" /> <meta name="citation_online_date" content="2024/10/02"> <meta content="10.18429/JACoW-IPAC2023-WEPA053" name="citation_doi" /> <meta name="citation_pdf_url" content="http://cds.cern.ch/record/2912185/files/document.pdf" /> <!-- OpenGraph --> <meta content="Impact of multiple beam-beam encounters on LHC absolute-luminosity calibrations by the van der Meer method" property="og:title" /> <meta content="JACOW" property="og:title" /> <meta content="website" property="og:type" /> <meta content="website" property="og:type" /> <meta content="http://cds.cern.ch/record/2912185" property="og:url" /> <meta content="CERN Document Server" property="og:site_name" /> <meta content="JACOW" property="og:description" /> <meta content="The LHC particle-physics program requires that the delivered luminosity be measured to an absolute accuracy in the 1% range. To this effect, the absolute luminosity scale at each interaction point (IP) is calibrated by scanning the beams across each other according to the van der Meer method. During such scans, the orbit and the shape of the colliding bunches are significantly distorted by their mutual electromagnetic interaction; the resulting biases, if left uncorrected, would absorb a major fraction of the systematic-uncertainty budget on the luminosity calibration. The present report summarizes recent studies of such biases in the single-IP configuration, and generalizes it to the more typical case where bunches collide not only at the scanning IP, but also experience additional head-on encounters at up to 3 locations around the ring. Simulations carried out with the COherent-Multibunch Beam-beam Interaction multiparticle code (COMBI) are used to characterize the dependence of beam--beam-induced luminosity-calibration biases on the phase advance between IPs, and to derive scaling laws that relate the multi-IP case to the simpler and better understood single-IP configuration." property="og:description" /> <!-- Twitter Card --> <meta content="summary" name="twitter:card" /> <meta content="summary" name="twitter:card" /> <style></style> </head> <body class="CERN32Document32Server search" lang="en"> <!-- toolbar starts --> <div id="cern-toolbar"> <h1><a href="http://cern.ch" title="CERN">CERN <span>Accelerating science</span></a></h1> <ul> <li class="cern-accountlinks"><a class="cern-account" href="https://cds.cern.ch/youraccount/login?ln=en&referer=http%3A//cds.cern.ch/record/2912185%3Fln%3Den" title="Sign in to your CERN account">Sign in</a></li> <li><a class="cern-directory" href="http://cern.ch/directory" title="Search CERN resources and browse the directory">Directory</a></li> </ul> </div> <!-- toolbar ends --> <!-- Nav header starts--> <div role="banner" class="clearfix" id="header"> <div class="header-inner inner"> <hgroup class="clearfix"> <h2 id="site-name"> <a rel="home" title="Home" href="/"><span>CERN Document Server</span></a> </h2> <h3 id="site-slogan">Access articles, reports and multimedia content in HEP</h3> </hgroup><!-- /#name-and-slogan --> <div role="navigation" id="main-navigation" class="cdsmenu"> <h2 class="element-invisible">Main menu</h2><ul class="links inline clearfix"> <li class="menu-386 first active-trail"><a class="active-trail" href="http://cds.cern.ch/?ln=en">Search</a></li> <li class="menu-444 "><a class="" title="" href="http://cds.cern.ch/submit?ln=en">Submit</a></li> <li class="menu-426 "><a class="" href="http://cds.cern.ch/help/?ln=en">Help</a></li> <li class="leaf hassubcdsmenu"> <a hreflang="en" class="header" href="https://cds.cern.ch/youraccount/display?ln=en">Personalize</a> <ul class="subsubcdsmenu"><li><a href="https://cds.cern.ch/youralerts/list?ln=en">Your alerts</a></li><li><a href="https://cds.cern.ch/yourbaskets/display?ln=en">Your baskets</a></li><li><a href="https://cds.cern.ch/yourcomments?ln=en">Your comments</a></li><li><a href="https://cds.cern.ch/youralerts/display?ln=en">Your searches</a></li></ul></li> </ul> </div> </div> </div> <!-- Nav header ends--> <table class="navtrailbox"> <tr> <td class="navtrailboxbody"> <a href="/?ln=en" class="navtrail">Home</a> > Impact of multiple beam-beam encounters on LHC absolute-luminosity calibrations by the van der Meer method </td> </tr> </table> </div> <div class="pagebody"><div class="pagebodystripemiddle"> <div class="detailedrecordbox"> <div class="detailedrecordtabs"> <div> <ul class="detailedrecordtabs"><li class="on first"><a href="/record/2912185/?ln=en">Information </a></li><li class=""><a href="/record/2912185/files?ln=en">Files </a></li></ul> <div id="tabsSpacer" style="clear:both;height:0px"> </div></div> </div> <div class="detailedrecordboxcontent"> <div class="top-left-folded"></div> <div class="top-right-folded"></div> <div class="inside"> <!--<div style="height:0.1em;"> </div> <p class="notopgap"> </p>--> <abbr class="unapi-id" title="2912185"></abbr> <style type="text/css"> <!-- ul.detailedrecordtabs li.on a{background-color:#4D94CC;color:#fff !important;border-bottom:1px solid #4D94CC!important;} div.detailedrecordboxcontent {padding-top:0px !important;} --> </style> <table class="formatRecordTableFullWidth" > <tr> <td class="formatRecordHeader" style="background-image: url('http://cds.cern.ch/img/journals.jpg');" colspan="2"> <!--YTD: record may have more than one 690C.a tag--> Article </td> </tr> <script type="text/javascript"> $( document ).ready(function() { $('.showAuthor').on('click', function() { var author = '<p>' + $(this).data('name') + '</p>'; var affiliation = $(this).data('affiliation') + '</br>'; var contribution = $(this).data('contribution') + '</br>'; $.magnificPopup.open({ items: { src: '<div id="ovelary-mathjax" class="overlay-white oc-content overlay-white-500">' + author + affiliation + contribution + '</div>', type: 'inline' }, callbacks: { open: function() { var div = document.getElementById("overlay-mathjax") MathJax.Hub.Queue(["Typeset", MathJax.Hub, div]); }, } }) }) }); </script> <tr><td class="formatRecordLabel"> Title </td><td style="padding-left:5px;"><b>Impact of multiple beam-beam encounters on LHC absolute-luminosity calibrations by the van der Meer method</b></td></tr> <tr><td class="formatRecordLabel"><span style="white-space:nowrap;"> Author(s) </span> </td><td style="padding-left:5px;"><a href="http://cds.cern.ch/search?f=author&p=Wanczyk%2C%20Joanna&ln=en">Wanczyk, Joanna</a> (CERN ; Ecole Polytechnique, Lausanne) ; <a href="http://cds.cern.ch/search?f=author&p=Dabrowski%2C%20Anne&ln=en">Dabrowski, Anne</a> (CERN) ; <a href="http://cds.cern.ch/search?f=author&p=Stickland%2C%20David&ln=en">Stickland, David</a> (CERN) ; <a href="http://cds.cern.ch/search?f=author&p=Pieloni%2C%20Tatiana&ln=en">Pieloni, Tatiana</a> (Ecole Polytechnique, Lausanne, LPAP) ; <a href="http://cds.cern.ch/search?f=author&p=Kozanecki%2C%20Witold&ln=en">Kozanecki, Witold</a> (IRFU, Saclay) ; <a href="http://cds.cern.ch/search?f=author&p=Buffat%2C%20Xavier&ln=en">Buffat, Xavier</a> (CERN)</td></tr> <tr><td class="formatRecordLabel"> Publication </td><td style="padding-left:5px;">2023</td></tr> <tr><td class="formatRecordLabel"> Number of pages </td><td style="padding-left:5px;">4</td></tr> <tr><td class="formatRecordLabel"> In: </td><td style="padding-left:5px;"><a href="http://dx.doi.org/10.18429/JACoW-IPAC2023-WEPA053"><i>JACoW IPAC</i> 2023 (2023) WEPA053</a> </a></td></tr> <tr><td class="formatRecordLabel"> In: </td><td style="padding-left:5px;"><a href="http://cds.cern.ch/record/2858945">14th International Particle Accelerator Conference (IPAC 2023)</a>, Venice, Italy, 7 - 12 May 2023, pp.WEPA053</td></tr> <tr><td class="formatRecordLabel"> DOI </td><td style="padding-left:5px;"><a href="http://dx.doi.org/10.18429/JACoW-IPAC2023-WEPA053" title="DOI" target="_blank">10.18429/JACoW-IPAC2023-WEPA053</a> <tr><td class="formatRecordLabel"> Subject category </td><td style="padding-left:5px;">Accelerators and Storage Rings</td></tr> <tr><td class="formatRecordLabel"> Accelerator/Facility, Experiment </td><td style="padding-left:5px;"><a href="http://cds.cern.ch/search?p=CERN%20LHC&f=693__a">CERN LHC</a></td></tr> <tr><td class="formatRecordLabel"> Abstract </td><td style="padding-left:5px;">The LHC particle-physics program requires that the delivered luminosity be measured to an absolute accuracy in the 1% range. To this effect, the absolute luminosity scale at each interaction point (IP) is calibrated by scanning the beams across each other according to the van der Meer method. During such scans, the orbit and the shape of the colliding bunches are significantly distorted by their mutual electromagnetic interaction; the resulting biases, if left uncorrected, would absorb a major fraction of the systematic-uncertainty budget on the luminosity calibration. The present report summarizes recent studies of such biases in the single-IP configuration, and generalizes it to the more typical case where bunches collide not only at the scanning IP, but also experience additional head-on encounters at up to 3 locations around the ring. Simulations carried out with the COherent-Multibunch Beam-beam Interaction multiparticle code (COMBI) are used to characterize the dependence of beam--beam-induced luminosity-calibration biases on the phase advance between IPs, and to derive scaling laws that relate the multi-IP case to the simpler and better understood single-IP configuration.</td></tr> <tr><td class="formatRecordLabel"> Copyright/License </td><td style="padding-left:5px;"><a href="https://creativecommons.org/licenses/by/4.0">CC-BY-4.0</a></td></tr> </table> <br/>Corresponding record in: <a href="http://inspirehep.net/record/2717644">Inspire</a> <small> </small> <br/> <br/><br/><div align="right"><div style="padding-bottom:2px;padding-top:30px;"><span class="moreinfo" style="margin-right:10px;"> <a href="" class="moreinfo">Back to search</a> </span></div></div> <div class="bottom-left-folded"><div class="recordlastmodifiedbox" style="position:relative;margin-left:1px"> Record created 2024-10-02, last modified 2024-10-02</div></div> <div class="bottom-right-folded" style="text-align:right;padding-bottom:2px;"> <span class="moreinfo" style="margin-right:10px;"><a href="/search?ln=en&p=recid%3A2912185&rm=wrd" class="moreinfo">Similar records</a></span></div> </div> </div> </div> <br/> <br /> <div class="detailedrecordminipanel"> <div class="top-left"></div><div class="top-right"></div> <div class="inside"> <div id="detailedrecordminipanelfile" style="width:33%;float:left;text-align:center;margin-top:0"> <div><small class="detailedRecordActions">Fulltext:</small> <br /><a href="/record/2912185/files/document.pdf"><img style="border:none" src="/img/file-icon-text-34x48.gif" alt="Download fulltext" /><br />PDF</a><br /></div> </div> <div id="detailedrecordminipanelreview" style="width:30%;float:left;text-align:center"> </div> <div id="detailedrecordminipanelactions" style="width:36%;float:right;text-align:right;"> <ul class="detailedrecordactions"> <li><a href="/yourbaskets/add?ln=en&recid=2912185">Add to personal basket</a></li> <li>Export as <a style="text-decoration:underline;font-weight:normal" href="/record/2912185/export/hx?ln=en">BibTeX</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2912185/export/hm?ln=en">MARC</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2912185/export/xm?ln=en">MARCXML</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2912185/export/xd?ln=en">DC</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2912185/export/xe?ln=en">EndNote</a>, <!-- <a style="text-decoration:underline;font-weight:normal" href="/record/2912185/export/xe8x?ln=en">EndNote (8-X)</a>,--> <a style="text-decoration:underline;font-weight:normal" href="/record/2912185/export/xn?ln=en">NLM</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2912185/export/xw?ln=en">RefWorks</a> </li> </ul> <div style='padding-left: 13px;'> <!-- JQuery Bookmark Button BEGIN --> <div id="bookmark"></div> <div id="bookmark_sciencewise"></div> <style type="text/css"> #bookmark_sciencewise, #bookmark {float: left;} #bookmark_sciencewise li {padding: 2px; width: 25px;} #bookmark_sciencewise ul, #bookmark ul {list-style-image: none;} </style> <script type="text/javascript" src="/js/jquery.bookmark.min.js"></script> <style type="text/css">@import "/css/jquery.bookmark.css";</style> <script type="text/javascript">// <![CDATA[ $.bookmark.addSite('sciencewise', 'ScienceWise.info', 'http://cds.cern.ch/img/sciencewise.png', 'en', 'bookmark', 'http://sciencewise.info/bookmarks/cds:2912185/add'); $('#bookmark_sciencewise').bookmark({sites: ['sciencewise']}); $('#bookmark').bookmark({ sites: ['facebook', 'twitter', 'linkedin', 'google_plusone'], icons: '/img/bookmarks.png', url: 'http://cds.cern.ch/record/2912185', addEmail: true, title: "Impact of multiple beam-beam encounters on LHC absolute-luminosity calibrations by the van der Meer method", description: "The LHC particle-physics program requires that the delivered luminosity be measured to an absolute accuracy in the 1% range. To this effect, the absolute luminosity scale at each interaction point (IP) is calibrated by scanning the beams across each other according to the van der Meer method. During such scans, the orbit and the shape of the colliding bunches are significantly distorted by their mutual electromagnetic interaction; the resulting biases, if left uncorrected, would absorb a major fraction of the systematic-uncertainty budget on the luminosity calibration. The present report summarizes recent studies of such biases in the single-IP configuration, and generalizes it to the more typical case where bunches collide not only at the scanning IP, but also experience additional head-on encounters at up to 3 locations around the ring. Simulations carried out with the COherent-Multibunch Beam-beam Interaction multiparticle code (COMBI) are used to characterize the dependence of beam--beam-induced luminosity-calibration biases on the phase advance between IPs, and to derive scaling laws that relate the multi-IP case to the simpler and better understood single-IP configuration." }); // ]]> </script> <!-- JQuery Bookmark Button END --> </div> </div> <div style="clear:both;margin-bottom: 0;"></div> </div> <div class="bottom-left"></div><div class="bottom-right"></div> </div> </div></div> <footer id="footer" class="pagefooter clearfix"> <!-- replaced page footer --> <div class="pagefooterstripeleft"> CERN Document Server :: <a class="footer" href="http://cds.cern.ch/?ln=en">Search</a> :: <a class="footer" href="http://cds.cern.ch/submit?ln=en">Submit</a> :: <a class="footer" href="https://cds.cern.ch/youraccount/display?ln=en">Personalize</a> :: <a class="footer" href="http://cds.cern.ch/help/?ln=en">Help</a> :: <a class="footer" href="https://cern.service-now.com/service-portal?id=privacy_policy&se=CDS-Service" target="_blank">Privacy Notice</a> :: <a class="footer" href="https://repository.cern/content-policy" target="_blank">Content Policy</a> :: <a class="footer" href="https://repository.cern/terms" target="_blank">Terms and Conditions</a> <br /> Powered by <a class="footer" href="http://invenio-software.org/">Invenio</a> <br /> Maintained by <a class="footer" href="https://cern.service-now.com/service-portal?id=service_element&name=CDS-Service">CDS Service</a> - Need help? Contact <a href="https://cern.service-now.com/service-portal?id=service_element&name=CDS-Service">CDS Support</a>. <br /> </div> <div class="pagefooterstriperight"> <div class="cern-logo"> <a id="logo" href="http://cern.ch" title="CERN" rel="CERN" ><img src="http://cds.cern.ch/img/cern_theme/img/cern-logo-large.png" alt="CERN" /></a> </div> <div class="cern-languagebox"> This site is also available in the following languages:<br /><a href="/record/2912185?ln=bg" class="langinfo">Български</a> <a href="/record/2912185?ln=ca" class="langinfo">Català</a> <a href="/record/2912185?ln=de" class="langinfo">Deutsch</a> <a href="/record/2912185?ln=el" class="langinfo">Ελληνικά</a> <span class="langinfo">English</span> <a href="/record/2912185?ln=es" class="langinfo">Español</a> <a href="/record/2912185?ln=fr" class="langinfo">Français</a> <a href="/record/2912185?ln=hr" class="langinfo">Hrvatski</a> <a href="/record/2912185?ln=it" class="langinfo">Italiano</a> <a href="/record/2912185?ln=ja" class="langinfo">日本語</a> <a href="/record/2912185?ln=ka" class="langinfo">ქართული</a> <a href="/record/2912185?ln=no" class="langinfo">Norsk/Bokmål</a> <a href="/record/2912185?ln=pl" class="langinfo">Polski</a> <a href="/record/2912185?ln=pt" class="langinfo">Português</a> <a href="/record/2912185?ln=ru" class="langinfo">Русский</a> <a href="/record/2912185?ln=sk" class="langinfo">Slovensky</a> <a href="/record/2912185?ln=sv" class="langinfo">Svenska</a> <a href="/record/2912185?ln=zh_CN" class="langinfo">中文(简)</a> <a href="/record/2912185?ln=zh_TW" class="langinfo">中文(繁)</a> </div> </div> <!-- replaced page footer --> </footer> <script type="text/javascript"> var SyndeticsBookCovers = (function() { var SMALL_SIZE = "sc.gif", MEDIUM_SIZE = "mc.gif", RAW_URL = "https://secure.syndetics.com/index.aspx?isbn=THEISBN/THESIZE&client=cernlibrary"; replaceCover = function(imgElement, isbns, hdFormat) { var img = new Image(), size = hdFormat ? MEDIUM_SIZE : SMALL_SIZE; var _isbns = isbns.sort(function(a, b) { // sort from shortest to longest ISBN (more modern) return a.length > b.length ? 1 : -1; }); function next() { var isbn = _isbns.pop(); if (isbn) { var url = RAW_URL.replace("THEISBN", isbn).replace("THESIZE", size); img.src = url; } } function done() { imgElement.src = img.src; } img.onload = function() { if (this.width > 1) { done(); } else { next(); } }; next(); }; return { replaceCover: replaceCover }; })(); $(document).ready(function() { // get book covers $("img.book-cover").each(function() { var $this = $(this), strIsbns = $this.data("isbns") || "", isbnsArray = String(strIsbns).split(","), hdFormat = $this.hasClass("hd"); SyndeticsBookCovers.replaceCover(this, isbnsArray, hdFormat); }); // WebNews tooltips $.ajax({ url: "/news/tooltips", success: function(data) { create_tooltips(data); }, dataType: "json", cache: false }); }); </script> <!-- Feedback script --> <script src="//cds.cern.ch/js/feedback.js"></script> <!-- Feedback script --> <!-- Matomo --> <script> var _paq = window._paq = window._paq || []; /* tracker methods like "setCustomDimension" should be called before "trackPageView" */ _paq.push(['trackPageView']); _paq.push(['enableLinkTracking']); (function() { var u="https://webanalytics.web.cern.ch/"; _paq.push(['setTrackerUrl', u+'matomo.php']); _paq.push(['setSiteId', '756']); var d=document, g=d.createElement('script'), s=d.getElementsByTagName('script')[0]; g.async=true; g.src=u+'matomo.js'; s.parentNode.insertBefore(g,s); })(); </script> <!-- End Matomo Code --> </body> </html>