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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">     <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#"> <head> <title>Limitations of radial magnetic field estimates from counter-rotating beams in an electro-static EDM ring - 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="https://cds.cern.ch/img/invenio.css?v=20141127" type="text/css" /> <link rel="stylesheet" href="https://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="https://cds.cern.ch/img/cern_toolbar/css/toolbar.css" type="text/css" />    <link rel="canonical" href="https://cds.cern.ch/record/2883821/export/hm" /> <link rel="alternate" hreflang="el" href="https://cds.cern.ch/record/2883821/export/hm?ln=el" /> <link rel="alternate" hreflang="fr" href="https://cds.cern.ch/record/2883821/export/hm?ln=fr" /> <link rel="alternate" hreflang="bg" href="https://cds.cern.ch/record/2883821/export/hm?ln=bg" /> <link rel="alternate" hreflang="zh-TW" href="https://cds.cern.ch/record/2883821/export/hm?ln=zh_TW" /> <link rel="alternate" hreflang="pt" href="https://cds.cern.ch/record/2883821/export/hm?ln=pt" /> <link rel="alternate" hreflang="no" href="https://cds.cern.ch/record/2883821/export/hm?ln=no" /> <link rel="alternate" hreflang="hr" href="https://cds.cern.ch/record/2883821/export/hm?ln=hr" /> <link rel="alternate" hreflang="ca" href="https://cds.cern.ch/record/2883821/export/hm?ln=ca" /> <link rel="alternate" hreflang="de" href="https://cds.cern.ch/record/2883821/export/hm?ln=de" /> <link rel="alternate" hreflang="it" href="https://cds.cern.ch/record/2883821/export/hm?ln=it" /> <link rel="alternate" hreflang="zh-CN" href="https://cds.cern.ch/record/2883821/export/hm?ln=zh_CN" /> <link rel="alternate" hreflang="sv" href="https://cds.cern.ch/record/2883821/export/hm?ln=sv" /> <link rel="alternate" hreflang="sk" href="https://cds.cern.ch/record/2883821/export/hm?ln=sk" /> <link rel="alternate" hreflang="en" href="https://cds.cern.ch/record/2883821/export/hm?ln=en" /> <link rel="alternate" hreflang="pl" href="https://cds.cern.ch/record/2883821/export/hm?ln=pl" /> <link rel="alternate" hreflang="ru" href="https://cds.cern.ch/record/2883821/export/hm?ln=ru" /> <link rel="alternate" hreflang="ka" href="https://cds.cern.ch/record/2883821/export/hm?ln=ka" /> <link rel="alternate" hreflang="ja" href="https://cds.cern.ch/record/2883821/export/hm?ln=ja" /> <link rel="alternate" hreflang="es" href="https://cds.cern.ch/record/2883821/export/hm?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="https://cds.cern.ch/opensearchdescription" title="CERN Document Server" /> <link rel="unapi-server" type="application/xml" title="unAPI" href="https://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="Proposals to measure a possible Electric Dipole Moment (EDM) of protons in an electro-static machine are studied by a world-wide community. The machine is operated at the so-called magic energy to satisfy the "frozen spin" condition such that, without imperfections and the well-known magnetic moment of the particle, the spin is always oriented parallel or antiparallel to the direction of movement. The effect of a finite EDM is a build-up of a vertical spin component. A small average radial magnetic field leads as well to a build-up of a vertical spin component, which cannot be disentangled from the effect due to a finite EDM, and thus generates a systematic error of the measurement. Essential ingredients of the concept are to install the machine inside a state-of-the-art magnetic shielding and to measure the vertical orbit separation of two counter-rotating beams, enhanced by choosing a very low vertical tune, with high precision pick-ups. In this paper, we analyse limitations of this method and, in particular, the impact of wanted ("strong focusing" lattice) and unwanted variations of the betatron functions and of coupling. Carli, C; Cilento, V" /> <meta name="keywords" content="focusing, lattice, betatron, proton, dipole" /> <script type="text/javascript" src="https://cds.cern.ch/js/jquery.min.js"></script>  <link rel="stylesheet" href="https://cds.cern.ch/img/webnews.css" type="text/css" />  <script type="text/javascript" src="https://cds.cern.ch/js/webnews.js?v=20131009"></script> <meta property="fb:app_id" content="137353533001720"/>  <meta content="JACOW : Limitations of radial magnetic field estimates from counter-rotating beams in an electro-static EDM ring" name="citation_title" /> <meta content="Carli, C" name="citation_author" /> <meta content="Cilento, V" name="citation_author" /> <meta content="10.18429/JACoW-IPAC2023-WEPL027" name="citation_doi" /> <meta content="JACoW IPAC" name="citation_journal_title" /> <meta content="2023" name="citation_volume" /> <meta content="WEPL027" name="citation_firstpage" /> <meta content="2023" name="citation_publication_date" /> <meta name="citation_online_date" content="2023/12/13"> <meta content="10.18429/JACoW-IPAC2023-WEPL027" name="citation_doi" /> <meta name="citation_pdf_url" content="https://cds.cern.ch/record/2883821/files/document.pdf" />  <meta content="JACOW" property="og:title" /> <meta content="Limitations of radial magnetic field estimates from counter-rotating beams in an electro-static EDM ring" property="og:title" /> <meta content="website" property="og:type" /> <meta content="website" property="og:type" /> <meta content="https://cds.cern.ch/record/2883821" property="og:url" /> <meta content="CERN Document Server" property="og:site_name" /> <meta content="Proposals to measure a possible Electric Dipole Moment (EDM) of protons in an electro-static machine are studied by a world-wide community. The machine is operated at the so-called magic energy to satisfy the &quot;frozen spin&quot; condition such that, without imperfections and the well-known magnetic moment of the particle, the spin is always oriented parallel or antiparallel to the direction of movement. The effect of a finite EDM is a build-up of a vertical spin component. A small average radial magnetic field leads as well to a build-up of a vertical spin component, which cannot be disentangled from the effect due to a finite EDM, and thus generates a systematic error of the measurement. Essential ingredients of the concept are to install the machine inside a state-of-the-art magnetic shielding and to measure the vertical orbit separation of two counter-rotating beams, enhanced by choosing a very low vertical tune, with high precision pick-ups. In this paper, we analyse limitations of this method and, in particular, the impact of wanted (&quot;strong focusing&quot; lattice) and unwanted variations of the betatron functions and of coupling." property="og:description" /> <meta content="JACOW" property="og:description" />  <meta content="summary" name="twitter:card" /> <meta content="summary" name="twitter:card" /> <style></style> </head> <body class="CERN32Document32Server search" lang="en">  <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=https%3A//cds.cern.ch/record/2883821/export/hm%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>   <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> <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="https://cds.cern.ch/?ln=en">Search</a></li> <li class="menu-444 "><a class="" title="" href="https://cds.cern.ch/submit?ln=en">Submit</a></li> <li class="menu-426 "><a class="" href="https://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>  <table class="navtrailbox"> <tr> <td class="navtrailboxbody"> <a href="/?ln=en" class="navtrail">Home</a> > <a class="navtrail" href="/record/2883821">Limitations of radial magnetic field estimates from counter-rotating beams in an electro-static EDM ring</a> > HTML MARC </td> </tr> </table> </div> <div class="pagebody"><div class="pagebodystripemiddle"> <pre style="margin: 1em 0px;">002883821 001__ 2883821 002883821 003__ SzGeCERN 002883821 005__ 20231214205416.0 002883821 0247_ $$2DOI$$9JACOW$$a10.18429/JACoW-IPAC2023-WEPL027 002883821 0248_ $$aoai:cds.cern.ch:2883821$$pcerncds:FULLTEXT$$pcerncds:CERN:FULLTEXT$$pcerncds:CERN 002883821 035__ $$9https://inspirehep.net/api/oai2d$$aoai:inspirehep.net:2716686$$d2023-12-12T09:21:19Z$$h2023-12-13T05:31:31Z$$mmarcxml 002883821 035__ $$9Inspire$$a2716686 002883821 041__ $$aeng 002883821 100__ $$aCarli, C$$uCERN 002883821 245__ $$9JACOW$$aLimitations of radial magnetic field estimates from counter-rotating beams in an electro-static EDM ring 002883821 260__ $$c2023 002883821 300__ $$a4 p 002883821 520__ $$9JACOW$$aProposals to measure a possible Electric Dipole Moment (EDM) of protons in an electro-static machine are studied by a world-wide community. The machine is operated at the so-called magic energy to satisfy the "frozen spin" condition such that, without imperfections and the well-known magnetic moment of the particle, the spin is always oriented parallel or antiparallel to the direction of movement. The effect of a finite EDM is a build-up of a vertical spin component. A small average radial magnetic field leads as well to a build-up of a vertical spin component, which cannot be disentangled from the effect due to a finite EDM, and thus generates a systematic error of the measurement. Essential ingredients of the concept are to install the machine inside a state-of-the-art magnetic shielding and to measure the vertical orbit separation of two counter-rotating beams, enhanced by choosing a very low vertical tune, with high precision pick-ups. In this paper, we analyse limitations of this method and, in particular, the impact of wanted ("strong focusing" lattice) and unwanted variations of the betatron functions and of coupling. 002883821 540__ $$aCC-BY-4.0$$bJACOW$$uhttps://creativecommons.org/licenses/by/4.0 002883821 65017 $$2SzGeCERN$$aAccelerators and Storage Rings 002883821 6531_ $$9author$$afocusing 002883821 6531_ $$9author$$alattice 002883821 6531_ $$9author$$abetatron 002883821 6531_ $$9author$$aproton 002883821 6531_ $$9author$$adipole 002883821 690C_ $$aARTICLE 002883821 690C_ $$aCERN 002883821 700__ $$aCilento, V$$uCERN 002883821 773__ $$cWEPL027$$pJACoW IPAC$$qIPAC2023$$v2023$$wC23-05-07$$y2023 002883821 8564_ $$82499678$$s485231$$uhttps://cds.cern.ch/record/2883821/files/document.pdf$$yFulltext 002883821 960__ $$a13 002883821 962__ $$b2858945$$kWEPL027$$nvenice20230507 002883821 980__ $$aARTICLE 002883821 980__ $$aConferencePaper</pre></div></div> <footer id="footer" class="pagefooter clearfix">  <div class="pagefooterstripeleft"> CERN Document Server :: <a class="footer" href="https://cds.cern.ch/?ln=en">Search</a> :: <a class="footer" href="https://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="https://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> <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? 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