CINXE.COM

<!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="de" xml:lang="de" xmlns:og="http://ogp.me/ns#" xmlns:fb="http://ogp.me/ns/fb#"> <head> <title>Measurement of the breakup probability of pi+ pi- atoms in a nickel target with the DIRAC spectrometer - 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/732756" /> <link rel="alternate" hreflang="el" href="https://cds.cern.ch/record/732756?ln=el" /> <link rel="alternate" hreflang="fr" href="https://cds.cern.ch/record/732756?ln=fr" /> <link rel="alternate" hreflang="bg" href="https://cds.cern.ch/record/732756?ln=bg" /> <link rel="alternate" hreflang="zh-TW" href="https://cds.cern.ch/record/732756?ln=zh_TW" /> <link rel="alternate" hreflang="pt" href="https://cds.cern.ch/record/732756?ln=pt" /> <link rel="alternate" hreflang="no" href="https://cds.cern.ch/record/732756?ln=no" /> <link rel="alternate" hreflang="hr" href="https://cds.cern.ch/record/732756?ln=hr" /> <link rel="alternate" hreflang="ca" href="https://cds.cern.ch/record/732756?ln=ca" /> <link rel="alternate" hreflang="de" href="https://cds.cern.ch/record/732756?ln=de" /> <link rel="alternate" hreflang="it" href="https://cds.cern.ch/record/732756?ln=it" /> <link rel="alternate" hreflang="zh-CN" href="https://cds.cern.ch/record/732756?ln=zh_CN" /> <link rel="alternate" hreflang="sv" href="https://cds.cern.ch/record/732756?ln=sv" /> <link rel="alternate" hreflang="sk" href="https://cds.cern.ch/record/732756?ln=sk" /> <link rel="alternate" hreflang="en" href="https://cds.cern.ch/record/732756?ln=en" /> <link rel="alternate" hreflang="pl" href="https://cds.cern.ch/record/732756?ln=pl" /> <link rel="alternate" hreflang="ru" href="https://cds.cern.ch/record/732756?ln=ru" /> <link rel="alternate" hreflang="ka" href="https://cds.cern.ch/record/732756?ln=ka" /> <link rel="alternate" hreflang="ja" href="https://cds.cern.ch/record/732756?ln=ja" /> <link rel="alternate" hreflang="es" href="https://cds.cern.ch/record/732756?ln=es" /> <link rel="alternate" type="application/rss+xml" title="CERN Document Server RSS" href="/rss?ln=de" /> <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="de" /> <meta name="description" content="The DIRAC Collaboration aims to determine the lifetime of the pionium atom, a pi+pi- bound state, by measuring the breakup probability of such a bound state. This breakup probability measurement with the DIRAC spectrometer at CERN searches for an excess of pi+pi- pairs from breakup at very low relative momenta (Q < 4 MeV/c) on top of a dominant background coming from correlated and uncorrelated pion pairs from the proton beam - target interaction. The number of found pi+pi- pairs from breakup can be put in relation to the number of produced atoms to yield the breakup probability. The number of produced atoms is related to the number of produced pi+pi- pairs with Coulomb final state interaction through the production process. The Nickel target data amounts to the biggest measured homogeneous sample recorded by the DIRAC collaboration, which translates into a small statistical error. Systematical influences are studied and shown to be not dominant. The measurement of the breakup probability and hence the determination of the life time of pionium allows to calculate the difference between the S-wave isoscalar and isotensor pi pi scattering lengths using only quantum mechanics. This calculation can be used to cross check the prediction coming from Chiral Perturbation Theory. Schütz, C P" /> <meta name="keywords" content="CERN Document Server, WebSearch, CERN Document Server" /> <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"/> <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>  <meta content="Measurement of the breakup probability of pi+ pi- atoms in a nickel target with the DIRAC spectrometer" name="citation_title" /> <meta content="Schütz, C P" name="citation_author" /> <meta content="CERN" name="citation_publisher" /> <meta content="2004" name="citation_publication_date" /> <meta name="citation_online_date" content="2004/04/30"> <meta content="CERN-THESIS-2004-015" name="citation_technical_report_number" /> <meta content="DIRAC-THESES-2004-01" name="citation_technical_report_number" /> <meta content="Basel U." name="citation_dissertation_institution" /> <meta name="citation_pdf_url" content="https://cds.cern.ch/record/732756/files/thesis-2004-015.pdf" />  <meta content="Measurement of the breakup probability of pi+ pi- atoms in a nickel target with the DIRAC spectrometer" property="og:title" /> <meta content="website" property="og:type" /> <meta content="https://cds.cern.ch/record/732756" property="og:url" /> <meta content="CERN Document Server" property="og:site_name" /> <meta content="The DIRAC Collaboration aims to determine the lifetime of the pionium atom, a pi+pi- bound state, by measuring the breakup probability of such a bound state. This breakup probability measurement with the DIRAC spectrometer at CERN searches for an excess of pi+pi- pairs from breakup at very low relative momenta (Q &lt; 4 MeV/c) on top of a dominant background coming from correlated and uncorrelated pion pairs from the proton beam - target interaction. The number of found pi+pi- pairs from breakup can be put in relation to the number of produced atoms to yield the breakup probability. The number of produced atoms is related to the number of produced pi+pi- pairs with Coulomb final state interaction through the production process. The Nickel target data amounts to the biggest measured homogeneous sample recorded by the DIRAC collaboration, which translates into a small statistical error. Systematical influences are studied and shown to be not dominant. The measurement of the breakup probability and hence the determination of the life time of pionium allows to calculate the difference between the S-wave isoscalar and isotensor pi pi scattering lengths using only quantum mechanics. This calculation can be used to cross check the prediction coming from Chiral Perturbation Theory." property="og:description" />  <meta content="summary" name="twitter:card" /> <style></style> </head> <body class="CERN32Document32Server search" lang="de">  <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=de&referer=https%3A//cds.cern.ch/record/732756%3Fln%3Dde" 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=de">Suchen</a></li> <li class="menu-444 "><a class="" title="" href="https://cds.cern.ch/submit?ln=de">Absenden</a></li> <li class="menu-426 "><a class="" href="https://cds.cern.ch/help/?ln=de">Hilfe</a></li> <li class="leaf hassubcdsmenu"> <a hreflang="en" class="header" href="https://cds.cern.ch/youraccount/display?ln=de">Personalisieren</a> <ul class="subsubcdsmenu"><li><a href="https://cds.cern.ch/youralerts/list?ln=de">Ihre Benachrichtigungen</a></li><li><a href="https://cds.cern.ch/yourbaskets/display?ln=de">Ihre Körbe</a></li><li><a href="https://cds.cern.ch/yourcomments?ln=de">Your comments</a></li><li><a href="https://cds.cern.ch/youralerts/display?ln=de">Ihre Suchanfragen</a></li></ul></li> </ul> </div> </div> </div>  <table class="navtrailbox"> <tr> <td class="navtrailboxbody"> <a href="/?ln=de" class="navtrail">Hauptseite</a> > Measurement of the breakup probability of pi+ pi- atoms in a nickel target with the DIRAC spectrometer </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/732756/?ln=de">Information </a></li><li class=""><a href="/record/732756/files?ln=de">Dateien </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">  <abbr class="unapi-id" title="732756"></abbr> <style type="text/css">  </style> <script type="text/javascript" src="/js/pdf-previewer-append-to-table.js"></script> <table class="formatRecordTableFullWidth" > <tr> <td class="formatRecordHeader" style="background-image: url('https://cds.cern.ch/img/journals.jpg');" colspan="2"> Thesis </td> </tr> <tr><td class="formatRecordLabel"> Report number </td><td style="padding-left:5px;">CERN-THESIS-2004-015 ; DIRAC-THESES-2004-01</td></tr> <tr><td class="formatRecordLabel"> Title </td><td style="padding-left:5px;"><b>Measurement of the breakup probability of pi+ pi- atoms in a nickel target with the DIRAC spectrometer</b></td></tr> <tr><td class="formatRecordLabel"><span style="white-space:nowrap;">Author(s)</span> </td><td style="padding-left:5px;"><a href="https://cds.cern.ch/search?f=author&p=Sch%C3%BCtz%2C%20C%20P&ln=de">Schütz, C P</a> (Basel U.)</td></tr> <tr><td class="formatRecordLabel"> Publication </td><td style="padding-left:5px;">Geneva : CERN, 2004 - 157.</td></tr> <tr><td class="formatRecordLabel"> Thesis note </td><td style="padding-left:5px;">PhD : Basel U. : 2004</td></tr> <tr><td class="formatRecordLabel"> Thesis supervisor(s) </td><td style="padding-left:5px;"><a href="/search?f=author&p=Tauscher, L">Tauscher, L</a></td></tr> <tr><td class="formatRecordLabel"> Note </td><td style="padding-left:5px;">Presented on 21 Apr 2004</td></tr> <tr><td class="formatRecordLabel"> Subject category </td><td style="padding-left:5px;">Nuclear Physics - Experiment</td></tr> <tr><td class="formatRecordLabel"> Accelerator/Facility, Experiment </td><td style="padding-left:5px;"><a href="https://cds.cern.ch/search?p=CERN%20PS&f=693__a">CERN PS</a> ; <a href="https://cds.cern.ch/search?p=DIRAC%20PS212&f=693__e">DIRAC PS212</a></td></tr> <tr><td class="formatRecordLabel"> Abstract </td><td style="padding-left:5px;">The DIRAC Collaboration aims to determine the lifetime of the pionium atom, a pi+pi- bound state, by measuring the breakup probability of such a bound state. This breakup probability measurement with the DIRAC spectrometer at CERN searches for an excess of pi+pi- pairs from breakup at very low relative momenta (Q < 4 MeV/c) on top of a dominant background coming from correlated and uncorrelated pion pairs from the proton beam - target interaction. The number of found pi+pi- pairs from breakup can be put in relation to the number of produced atoms to yield the breakup probability. The number of produced atoms is related to the number of produced pi+pi- pairs with Coulomb final state interaction through the production process. The Nickel target data amounts to the biggest measured homogeneous sample recorded by the DIRAC collaboration, which translates into a small statistical error. Systematical influences are studied and shown to be not dominant. The measurement of the breakup probability and hence the determination of the life time of pionium allows to calculate the difference between the S-wave isoscalar and isotensor pi pi scattering lengths using only quantum mechanics. This calculation can be used to cross check the prediction coming from Chiral Perturbation Theory.</td></tr> </table> <br/>Corresponding record in: <a href="http://inspirehep.net/record/649781">Inspire</a> <br/>Email contact: <a href="mailto:christian.schuetz@cern.ch">christian.schuetz@cern.ch</a> <small> </small> <small> </small> <br/><br/><div align="right"><div style="padding-bottom:2px;padding-top:30px;"><span class="moreinfo" style="margin-right:10px;"> <a href="" class="moreinfo">Zurück zur Suche</a> </span></div></div> <div class="bottom-left-folded"><div class="recordlastmodifiedbox" style="position:relative;margin-left:1px"> Datensatz erzeugt am 2004-04-30, letzte Änderung am 2019-05-31</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=de&p=recid%3A732756&rm=wrd" class="moreinfo">Ähnliche Datensätze</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">Access to fulltext document:</small> <br /><a href="/record/732756/files/thesis-2004-015.pdf"><img style="border:none" src="/img/file-icon-text-34x48.gif" alt="Volltext herunterladen" /><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=de&recid=732756">Zum persönlichen Korb hinzufügen</a></li> <li>Export als <a style="text-decoration:underline;font-weight:normal" href="/record/732756/export/hx?ln=de">BibTeX</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/732756/export/hm?ln=de">MARC</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/732756/export/xm?ln=de">MARCXML</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/732756/export/xd?ln=de">DC</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/732756/export/xe?ln=de">EndNote</a>,  <a style="text-decoration:underline;font-weight:normal" href="/record/732756/export/xn?ln=de">NLM</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/732756/export/xw?ln=de">RefWorks</a> </li> </ul> <div style='padding-left: 13px;'>  <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', 'https://cds.cern.ch/img/sciencewise.png', 'en', 'bookmark', 'http://sciencewise.info/bookmarks/cds:732756/add'); $('#bookmark_sciencewise').bookmark({sites: ['sciencewise']}); $('#bookmark').bookmark({ sites: ['facebook', 'twitter', 'linkedin', 'google_plusone'], icons: '/img/bookmarks.png', url: 'https://cds.cern.ch/record/732756', addEmail: true, title: "Measurement of the breakup probability of pi+ pi- atoms in a nickel target with the DIRAC spectrometer", description: "The DIRAC Collaboration aims to determine the lifetime of the pionium atom, a pi+pi- bound state, by measuring the breakup probability of such a bound state. This breakup probability measurement with the DIRAC spectrometer at CERN searches for an excess of pi+pi- pairs from breakup at very low relative momenta (Q < 4 MeV/c) on top of a dominant background coming from correlated and uncorrelated pion pairs from the proton beam - target interaction. The number of found pi+pi- pairs from breakup can be put in relation to the number of produced atoms to yield the breakup probability. The number of produced atoms is related to the number of produced pi+pi- pairs with Coulomb final state interaction through the production process. The Nickel target data amounts to the biggest measured homogeneous sample recorded by the DIRAC collaboration, which translates into a small statistical error. Systematical influences are studied and shown to be not dominant. The measurement of the breakup probability and hence the determination of the life time of pionium allows to calculate the difference between the S-wave isoscalar and isotensor pi pi scattering lengths using only quantum mechanics. This calculation can be used to cross check the prediction coming from Chiral Perturbation Theory." }); // ]]> </script>  </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">  <div class="pagefooterstripeleft"> CERN Document Server :: <a class="footer" href="https://cds.cern.ch/?ln=de">Suchen</a> :: <a class="footer" href="https://cds.cern.ch/submit?ln=de">Absenden</a> :: <a class="footer" href="https://cds.cern.ch/youraccount/display?ln=de">Personalisieren</a> :: <a class="footer" href="https://cds.cern.ch/help/?ln=de">Hilfe</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 /> Verwaltet von <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="https://cds.cern.ch/img/cern_theme/img/cern-logo-large.png" alt="CERN" /></a> </div> <div class="cern-languagebox"> Diese Seite gibt es auch in den folgenden Sprachen:<br /><a href="/record/732756?ln=bg" class="langinfo">Български</a>  <a href="/record/732756?ln=ca" class="langinfo">Català</a>  <span class="langinfo">Deutsch</span>  <a href="/record/732756?ln=el" class="langinfo">Ελληνικά</a>  <a href="/record/732756?ln=en" class="langinfo">English</a>  <a href="/record/732756?ln=es" class="langinfo">Español</a>  <a href="/record/732756?ln=fr" class="langinfo">Français</a>  <a href="/record/732756?ln=hr" class="langinfo">Hrvatski</a>  <a href="/record/732756?ln=it" class="langinfo">Italiano</a>  <a href="/record/732756?ln=ja" class="langinfo">日本語</a>  <a href="/record/732756?ln=ka" class="langinfo">ქართული</a>  <a href="/record/732756?ln=no" class="langinfo">Norsk/Bokmål</a>  <a href="/record/732756?ln=pl" class="langinfo">Polski</a>  <a href="/record/732756?ln=pt" class="langinfo">Português</a>  <a href="/record/732756?ln=ru" class="langinfo">Русский</a>  <a href="/record/732756?ln=sk" class="langinfo">Slovensky</a>  <a href="/record/732756?ln=sv" class="langinfo">Svenska</a>  <a href="/record/732756?ln=zh_CN" class="langinfo">中文(简)</a>  <a href="/record/732756?ln=zh_TW" class="langinfo">中文(繁)</a> </div> </div>  </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>  <script src="//cds.cern.ch/js/feedback.js"></script>   <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>  </body> </html>