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The odd-even staggering (OES) of the mean square charge radii and the kink at <math><mrow><mi>N</mi><mo>=</mo><mn>126</mn></mrow></math> are analyzed within the framework of covariant density functional theory (CDFT), with comparisons between different functionals to investigate the dependence of the results on the underlying single-particle structure. The observed features are defined predominantly in the particle-hole channel in CDFT, since both are present in the calculations without pairing. However, the magnitude of the kink is still affected by the occupation of the <math><mrow><mi>ν</mi><mn>1</mn><msub><mi>i</mi><mrow><mn>11</mn><mo>/</mo><mn>2</mn></mrow></msub></mrow></math> and <math><mrow><mi>ν</mi><mn>2</mn><msub><mi>g</mi><mrow><mn>9</mn><mo>/</mo><mn>2</mn></mrow></msub></mrow></math> orbitals with a dependence on the relative energies as well as pairing. Combining laser spectroscopy in a Versatile Arc Discharge and Laser Ion Source, with Penning-trap mass spectrometry at the CERN-ISOLDE facility, this work reports on mean-square charge radii of neutron-rich mercury isotopes across the $N = 126$ shell closure, the electromagnetic moments of $^{207}$Hg and more precise mass values of $^{206-208}$Hg. The odd-even staggering (OES) of the mean square charge radii and the kink at $N = 126$ are analyzed within the framework of covariant density functional theory (CDFT), with comparisons between different functionals to investigate the dependence of the results on the underlying single-particle structure. The observed features are defined predominantly in the particle-hole channel in CDFT, since both are present in the calculations without pairing. However, the magnitude of the kink is still affected by the occupation of the $1i_{11/2}$ and $2g_{9/2}$ orbitals with a dependence on the relative energies as well as pairing. Goodacre, T. Day; Afanasjev, A.V.; Barzakh, A.E.; Nies, L.; Marsh, B.A.; Sels, S.; Perera, U.C.; Ring, P.; Wienholtz, F.; Andreyev, A.N.; Van Duppen, P.; Althubiti, N.A.; Andel, B.; Atanasov, D.; Augusto, R.S.; Billowes, J.; Blaum, K.; Cocolios, T.E.; Cubiss, J.G.; Farooq-Smith, G.J.; Fedorov, D.V.; Fedosseev, V.N.; Flanagan, K.T.; Gaffney, L.P.; Ghys, L.; Gottberg, A.; Huyse, M.; Kreim, S.; Kunz, P.; Lunney, D.; Lynch, K.M.; Manea, V.; Palenzuela, Y. Martinez; Medonca, T.M.; Molkanov, P.L.; Mougeot, M.; Ramos, J.P.; Rosenbusch, M.; Rossel, R.E.; Rothe, S.; Schweikhard, L.; Seliverstov, M.D.; Spagnoletti, P.; Van Beveren, C.; Veinhard, M.; Verstraelen, E.; Welker, A.; Wendt, K.; Wolf, R.N.; Zadvornaya, A.; Zuber, K." /> <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="APS : Charge radii, moments, and masses of mercury isotopes across the $N=126$ shell closure" name="citation_title" /> <meta content="Goodacre, T. 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The odd-even staggering (OES) of the mean square charge radii and the kink at $N = 126$ are analyzed within the framework of covariant density functional theory (CDFT), with comparisons between different functionals to investigate the dependence of the results on the underlying single-particle structure. The observed features are defined predominantly in the particle-hole channel in CDFT, since both are present in the calculations without pairing. 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The observed features are defined predominantly in the particle-hole channel in CDFT, since both are present in the calculations without pairing. 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Day</a> (Manchester U. ; TRIUMF ; CERN) ; <a href="https://cds.cern.ch/search?f=author&p=Afanasjev%2C%20A.V.&ln=pt">Afanasjev, A.V.</a> (Mississippi State U.) ; <a href="https://cds.cern.ch/search?f=author&p=Barzakh%2C%20A.E.&ln=pt">Barzakh, A.E.</a> (St. Petersburg, INP) ; <a href="https://cds.cern.ch/search?f=author&p=Nies%2C%20L.&ln=pt">Nies, L.</a> (CERN ; Greifswald U.) ; <a href="https://cds.cern.ch/search?f=author&p=Marsh%2C%20B.A.&ln=pt">Marsh, B.A.</a> (CERN) ; <a href="https://cds.cern.ch/search?f=author&p=Sels%2C%20S.&ln=pt">Sels, S.</a> (CERN ; Leuven U.) ; <a href="https://cds.cern.ch/search?f=author&p=Perera%2C%20U.C.&ln=pt">Perera, U.C.</a> (Mississippi State U.) ; <a href="https://cds.cern.ch/search?f=author&p=Ring%2C%20P.&ln=pt">Ring, P.</a> (Munich, Tech. U.) ; <a href="https://cds.cern.ch/search?f=author&p=Wienholtz%2C%20F.&ln=pt">Wienholtz, F.</a> (CERN ; Greifswald U.) ; <a href="https://cds.cern.ch/search?f=author&p=Andreyev%2C%20A.N.&ln=pt">Andreyev, A.N.</a> (York U., England ; JAERI, Tokai)<span id="more" style=""> ; <a href="https://cds.cern.ch/search?f=author&p=Van%20Duppen%2C%20P.&ln=pt">Van Duppen, P.</a> (Leuven U.) ; <a href="https://cds.cern.ch/search?f=author&p=Althubiti%2C%20N.A.&ln=pt">Althubiti, N.A.</a> (Manchester U. ; Al Jouf U.) ; <a href="https://cds.cern.ch/search?f=author&p=Andel%2C%20B.&ln=pt">Andel, B.</a> (Leuven U. ; Comenius U.) ; <a href="https://cds.cern.ch/search?f=author&p=Atanasov%2C%20D.&ln=pt">Atanasov, D.</a> (Heidelberg, Max Planck Inst.) ; <a href="https://cds.cern.ch/search?f=author&p=Augusto%2C%20R.S.&ln=pt">Augusto, R.S.</a> (TRIUMF) ; <a href="https://cds.cern.ch/search?f=author&p=Billowes%2C%20J.&ln=pt">Billowes, J.</a> (Manchester U.) ; <a href="https://cds.cern.ch/search?f=author&p=Blaum%2C%20K.&ln=pt">Blaum, K.</a> (Heidelberg, Max Planck Inst.) ; <a href="https://cds.cern.ch/search?f=author&p=Cocolios%2C%20T.E.&ln=pt">Cocolios, T.E.</a> (Manchester U. ; Leuven U.) ; <a href="https://cds.cern.ch/search?f=author&p=Cubiss%2C%20J.G.&ln=pt">Cubiss, J.G.</a> (York U., England) ; <a href="https://cds.cern.ch/search?f=author&p=Farooq-Smith%2C%20G.J.&ln=pt">Farooq-Smith, G.J.</a> (Manchester U. ; Leuven U.) ; <a href="https://cds.cern.ch/search?f=author&p=Fedorov%2C%20D.V.&ln=pt">Fedorov, D.V.</a> (St. Petersburg, INP) ; <a href="https://cds.cern.ch/search?f=author&p=Fedosseev%2C%20V.N.&ln=pt">Fedosseev, V.N.</a> (CERN) ; <a href="https://cds.cern.ch/search?f=author&p=Flanagan%2C%20K.T.&ln=pt">Flanagan, K.T.</a> (Manchester U. ; U. Manchester (main)) ; <a href="https://cds.cern.ch/search?f=author&p=Gaffney%2C%20L.P.&ln=pt">Gaffney, L.P.</a> (West Scotland U. ; Leuven U.) ; <a href="https://cds.cern.ch/search?f=author&p=Ghys%2C%20L.&ln=pt">Ghys, L.</a> (SCK-CEN, Mol ; Leuven U.) ; <a href="https://cds.cern.ch/search?f=author&p=Gottberg%2C%20A.&ln=pt">Gottberg, A.</a> (TRIUMF ; U. 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U. ; CERN) ; <a href="https://cds.cern.ch/search?f=author&p=Wendt%2C%20K.&ln=pt">Wendt, K.</a> (Mainz U.) ; <a href="https://cds.cern.ch/search?f=author&p=Wolf%2C%20R.N.&ln=pt">Wolf, R.N.</a> (Heidelberg, Max Planck Inst. ; Greifswald U.) ; <a href="https://cds.cern.ch/search?f=author&p=Zadvornaya%2C%20A.&ln=pt">Zadvornaya, A.</a> (Leuven U.) ; <a href="https://cds.cern.ch/search?f=author&p=Zuber%2C%20K.&ln=pt">Zuber, K.</a> (Dresden, Tech. U.)</span> <span id="extension"></span> <small><i><a id="link" href="#" onclick="toggle_authors_visibility()" style="color:rgb(204,0,0);"></a></i></small><script type="text/javascript">set_up()</script></td></tr> <tr><td class="formatRecordLabel"> Publication </td><td style="padding-left:5px;">2021-11-30</td></tr> <tr><td class="formatRecordLabel"> Imprint </td><td style="padding-left:5px;">2021-11-19</td></tr> <tr><td class="formatRecordLabel"> Number of pages </td><td style="padding-left:5px;">20</td></tr> <tr><td class="formatRecordLabel"> Note </td><td style="padding-left:5px;">20 pages, 12 figures, Phys. Rev. C in press</td></tr> <tr><td class="formatRecordLabel"> In: </td><td style="padding-left:5px;"><a href="http://dx.doi.org/10.1103/PhysRevC.104.054322"><i>Phys. Rev. C</i> 104 (2021) 054322</a> </a></td></tr> <tr><td class="formatRecordLabel"> DOI </td><td style="padding-left:5px;"><a href="http://dx.doi.org/10.1103/PhysRevC.104.054322" title="DOI" target="_blank">10.1103/PhysRevC.104.054322</a> (publication) <tr><td class="formatRecordLabel"> Subject category </td><td style="padding-left:5px;">nucl-th ; Nuclear Physics - Theory ; nucl-ex ; Nuclear Physics - Experiment</td></tr> <tr><td class="formatRecordLabel"> Abstract </td><td style="padding-left:5px;">Combining laser spectroscopy in a Versatile Arc Discharge and Laser Ion Source, with Penning-trap mass spectrometry at the CERN-ISOLDE facility, this work reports on mean-square charge radii of neutron-rich mercury isotopes across the $N = 126$ shell closure, the electromagnetic moments of $^{207}$Hg and more precise mass values of $^{206-208}$Hg. The odd-even staggering (OES) of the mean square charge radii and the kink at $N = 126$ are analyzed within the framework of covariant density functional theory (CDFT), with comparisons between different functionals to investigate the dependence of the results on the underlying single-particle structure. The observed features are defined predominantly in the particle-hole channel in CDFT, since both are present in the calculations without pairing. However, the magnitude of the kink is still affected by the occupation of the $1i_{11/2}$ and $2g_{9/2}$ orbitals with a dependence on the relative energies as well as pairing.</td></tr> <tr><td class="formatRecordLabel"> Copyright/License </td><td style="padding-left:5px;">preprint: (License: <a href="http://creativecommons.org/licenses/by/4.0/">CC BY 4.0</a>)<br/>publication: Published by the American Physical Society (License: <a href="https://creativecommons.org/licenses/by/4.0/">CC BY 4.0</a>)</td></tr> </table> <br /><div style="max-width:1024px;margin:auto"><div style="overflow-x:auto;display:inline;width:100%;"><a href="/record/2792360/plots#0"><img style="vertical-align:middle;" src="https://cds.cern.ch/record/2792360/files/Hg_VADLIS_expt_UD.png" title=" \footnotesize a) Overview of the experimental setup for the production and study of mercury isotopes. b) Schematic of a VADLIS coupled to a molten lead target via a temperature controlled chimney. c) The variation in the RILIS-mode and VADIS-mode ion currents on mass A=197 for differing anode bias voltages. See text for additional details and the definition of acronyms." width="200px"/></a> <a href="/record/2792360/plots#1"><img style="vertical-align:middle;" src="https://cds.cern.ch/record/2792360/files/208Hg_MRToF.png" title=" \footnotesize a) Ion rate on mass $A$=208 measured by the MR-ToF MS detector for a given frequency tripled laser frequency. The RILIS+VADIS-mode is dominated by VADIS ionized $^{208}$Pb, the count rate was estimated based on Faraday cup measurements. Further discussion in the text. b) and c) time-of-flight spectra on mass $A$=208, measured downstream of the MR-ToF~MS with the VADLIS in RILIS-mode and the lasers on resonance and off-resonance, respectively. The y-axis scales of b) and c) are identical." width="200px"/></a> <a href="/record/2792360/plots#2"><img style="vertical-align:middle;" src="https://cds.cern.ch/record/2792360/files/Figure_3.png" title=" \footnotesize Ionization and release efficiency ($\varepsilon$) as a function of the half-life of mercury isotopes from a molten lead target. The results from ABRABLA, FLUKA and Geant4 simulations are compared. See text for details." width="200px"/></a> <a href='/record/2792360/plots'>Show more plots</a></div></div><br /> <br/>Corresponding record in: <a href="http://inspirehep.net/record/1972888">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 2021-12-07, last modified 2024-05-08</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=pt&p=recid%3A2792360&rm=wrd" class="moreinfo">Registos similares</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/2792360/files/2111.10468.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=pt&recid=2792360">Add to personal basket</a></li> <li>Export as <a style="text-decoration:underline;font-weight:normal" href="/record/2792360/export/hx?ln=pt">BibTeX</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2792360/export/hm?ln=pt">MARC</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2792360/export/xm?ln=pt">MARCXML</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2792360/export/xd?ln=pt">DC</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2792360/export/xe?ln=pt">EndNote</a>,  <a style="text-decoration:underline;font-weight:normal" href="/record/2792360/export/xn?ln=pt">NLM</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2792360/export/xw?ln=pt">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/2111.1046/add'); $('#bookmark_sciencewise').bookmark({sites: ['sciencewise']}); $('#bookmark').bookmark({ sites: ['facebook', 'twitter', 'linkedin', 'google_plusone'], icons: '/img/bookmarks.png', url: 'https://cds.cern.ch/record/2792360', addEmail: true, title: "Charge radii, moments, and masses of mercury isotopes across the $N=126$ shell closure", description: "Combining laser spectroscopy in a Versatile Arc Discharge and Laser Ion Source (VADLIS) with Penning-trap mass spectrometry at the CERN-ISOLDE facility, this work reports on mean-square charge radii of neutron-rich mercury isotopes across the <math><mrow><mi>N</mi><mo>=</mo><mn>126</mn></mrow></math> shell closure, the electromagnetic moments of <math><mmultiscripts><mi>Hg</mi><mprescripts/><none/><mn>207</mn></mmultiscripts></math>, and more precise mass values of <math><mmultiscripts><mi>Hg</mi><mprescripts/><none/><mrow><mn>206</mn><mtext>\u2013</mtext><mn>208</mn></mrow></mmultiscripts></math>. The odd-even staggering (OES) of the mean square charge radii and the kink at <math><mrow><mi>N</mi><mo>=</mo><mn>126</mn></mrow></math> are analyzed within the framework of covariant density functional theory (CDFT), with comparisons between different functionals to investigate the dependence of the results on the underlying single-particle structure. The observed features are defined predominantly in the particle-hole channel in CDFT, since both are present in the calculations without pairing. However, the magnitude of the kink is still affected by the occupation of the <math><mrow><mi>\u03bd</mi><mn>1</mn><msub><mi>i</mi><mrow><mn>11</mn><mo>/</mo><mn>2</mn></mrow></msub></mrow></math> and <math><mrow><mi>\u03bd</mi><mn>2</mn><msub><mi>g</mi><mrow><mn>9</mn><mo>/</mo><mn>2</mn></mrow></msub></mrow></math> orbitals with a dependence on the relative energies as well as pairing." }); // ]]> </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=pt">Pesquisar</a> :: <a class="footer" href="https://cds.cern.ch/submit?ln=pt">Submeter</a> :: <a class="footer" href="https://cds.cern.ch/youraccount/display?ln=pt">Personalizar</a> :: <a class="footer" href="https://cds.cern.ch/help/?ln=pt">Ajuda</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 /> Mantido por <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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