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Title: Chiral NNLO sat descriptions of nuclear multipole resonances within the random-phase approximation

Abstract

We study nuclear multipole resonances in the framework of the random-phase approximation by using the chiral potential NNLO sat. This potential includes two- and three-body terms that have been simultaneously optimized to low-energy nucleon-nucleon scattering data and selected nuclear structure data. Our main focuses have been the isoscalar monopole, isovector dipole, and isoscalar quadrupole resonances of the closed-shell nuclei, 4He, 16,22,24O, and 40,48Ca. These resonance modes have been widely observed in experiment. In addition, we use a renormalized chiral potential Vlow-k, based on the N 3LO two-body potential by Entem and Machleidt [Phys. Rev. C 68, 041001 (2011)]. This introduces a dependency on the cutoff parameter used in the normalization procedure as reported in previous works by other groups. While NNLO sat can reasonably reproduce observed multipole resonances, it is not possible to find a single cutoff parameter for the V low-k potential that simultaneously describes the different types of resonance modes. The sensitivity to the cutoff parameter can be explained by missing induced three-body forces in the calculations. Our results for neutron-rich 22,24O show a mixing nature of isoscalar and isovector resonances in the dipole channel at low energies. We predict that 22O and 24O have low-energy isoscalar quadrupolemore » resonances at energies lower than 5 MeV.« less

Authors:
 [1];  [1];  [1];  [1];  [1];  [2]; ORCiD logo [3]
  1. Peking Univ., Beijing (China). School of Physics, State Key Lab. of Nuclear Physics and Technology
  2. Peking Univ., Beijing (China). School of Physics, State Key Lab. of Nuclear Physics and Technology; Univ. of Tennessee, Knoxville, TN (United States). Dept. of Physics and Astronomy; Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Physics Division
  3. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Physics Division; Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). National Center for Computational Sciences
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26); National Natural Science Foundation of China (NNSFC)
OSTI Identifier:
1459270
Alternate Identifier(s):
OSTI ID: 1435873
Grant/Contract Number:  
AC05-00OR22725; 11235001; 11320101004; 11575007; SC0009971; FG02-96ER40963; SC0008499
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 97; Journal Issue: 5; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Wu, Q., Hu, B S., Xu, Furong, Ma, Y. Z., Dai, S. J., Sun, Zhonghao, and Jansen, Gustav R. Chiral NNLOsat descriptions of nuclear multipole resonances within the random-phase approximation. United States: N. p., 2018. Web. doi:10.1103/PhysRevC.97.054306.
Wu, Q., Hu, B S., Xu, Furong, Ma, Y. Z., Dai, S. J., Sun, Zhonghao, & Jansen, Gustav R. Chiral NNLOsat descriptions of nuclear multipole resonances within the random-phase approximation. United States. doi:10.1103/PhysRevC.97.054306.
Wu, Q., Hu, B S., Xu, Furong, Ma, Y. Z., Dai, S. J., Sun, Zhonghao, and Jansen, Gustav R. Thu . "Chiral NNLOsat descriptions of nuclear multipole resonances within the random-phase approximation". United States. doi:10.1103/PhysRevC.97.054306. https://www.osti.gov/servlets/purl/1459270.
@article{osti_1459270,
title = {Chiral NNLOsat descriptions of nuclear multipole resonances within the random-phase approximation},
author = {Wu, Q. and Hu, B S. and Xu, Furong and Ma, Y. Z. and Dai, S. J. and Sun, Zhonghao and Jansen, Gustav R.},
abstractNote = {We study nuclear multipole resonances in the framework of the random-phase approximation by using the chiral potential NNLOsat. This potential includes two- and three-body terms that have been simultaneously optimized to low-energy nucleon-nucleon scattering data and selected nuclear structure data. Our main focuses have been the isoscalar monopole, isovector dipole, and isoscalar quadrupole resonances of the closed-shell nuclei, 4He, 16,22,24O, and 40,48Ca. These resonance modes have been widely observed in experiment. In addition, we use a renormalized chiral potential Vlow-k, based on the N3LO two-body potential by Entem and Machleidt [Phys. Rev. C 68, 041001 (2011)]. This introduces a dependency on the cutoff parameter used in the normalization procedure as reported in previous works by other groups. While NNLOsat can reasonably reproduce observed multipole resonances, it is not possible to find a single cutoff parameter for the Vlow-k potential that simultaneously describes the different types of resonance modes. The sensitivity to the cutoff parameter can be explained by missing induced three-body forces in the calculations. Our results for neutron-rich 22,24O show a mixing nature of isoscalar and isovector resonances in the dipole channel at low energies. We predict that 22O and 24O have low-energy isoscalar quadrupole resonances at energies lower than 5 MeV.},
doi = {10.1103/PhysRevC.97.054306},
journal = {Physical Review C},
number = 5,
volume = 97,
place = {United States},
year = {2018},
month = {5}
}

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C.</span> </li> <li> Physical Review C, Vol. 3, Issue 5</li> <li> <span class="text-muted related-url">DOI: <a href="https://doi.org/10.1103/PhysRevC.3.1740" class="text-muted" target="_blank" rel="noopener noreferrer">10.1103/PhysRevC.3.1740<span class="fa fa-external-link" aria-hidden="true"></span></a></span> </li> </ul> <hr/> </div><div> <h2 class="title" style="margin-bottom:0;" data-apporder=""> <a href="https://doi.org/10.1103/PhysRev.79.1019" target="_blank" rel="noopener noreferrer" class="name">Nuclear Dipole Vibrations<span class="fa fa-external-link" aria-hidden="true"></span></a> <small class="text-muted" style="text-transform:uppercase; font-size:0.75rem;"><br/> <span class="type">journal</span>, <span class="date" data-date="1950-09-01">September 1950</span></small> </h2> <ul class="small references-list" style="list-style-type:none; margin-top: 0.5em; padding-left: 0; line-height:1.8em;"> <li> <span style="color:#5C7B2D;"> Steinwedel, Helmut; Jensen, J. Hans D.; Jensen, Peter</span> </li> <li> Physical Review, Vol. 79, Issue 6</li> <li> <span class="text-muted related-url">DOI: <a href="https://doi.org/10.1103/PhysRev.79.1019" class="text-muted" target="_blank" rel="noopener noreferrer">10.1103/PhysRev.79.1019<span class="fa fa-external-link" aria-hidden="true"></span></a></span> </li> </ul> <hr/> </div><div> <h2 class="title" style="margin-bottom:0;" data-apporder=""> <a href="https://doi.org/10.1016/j.physletb.2007.06.082" target="_blank" rel="noopener noreferrer" class="name">The 4He total photo-absorption cross section with two- plus three-nucleon interactions from chiral effective field theory<span class="fa fa-external-link" aria-hidden="true"></span></a> <small class="text-muted" style="text-transform:uppercase; font-size:0.75rem;"><br/> <span class="type">journal</span>, <span class="date" data-date="2007-09-01">September 2007</span></small> </h2> <ul class="small references-list" style="list-style-type:none; margin-top: 0.5em; padding-left: 0; line-height:1.8em;"> <li> <span style="color:#5C7B2D;"> Quaglioni, Sofia; Navrátil, Petr</span> </li> <li> Physics Letters B, Vol. 652, Issue 5-6</li> <li> <span class="text-muted related-url">DOI: <a href="https://doi.org/10.1016/j.physletb.2007.06.082" class="text-muted" target="_blank" rel="noopener noreferrer">10.1016/j.physletb.2007.06.082<span class="fa fa-external-link" aria-hidden="true"></span></a></span> </li> </ul> <hr/> </div><div> <h2 class="title" style="margin-bottom:0;" data-apporder=""> <a href="https://doi.org/10.1103/PhysRevC.91.024303" target="_blank" rel="noopener noreferrer" class="name">Examination of the first excited state of <math> <mmultiscripts> <mi mathvariant="normal">He</mi> <mprescripts/> <none/> <mrow> <mn>4</mn> </mrow> </mmultiscripts> </math> as a potential breathing mode<span class="fa fa-external-link" aria-hidden="true"></span></a> <small class="text-muted" style="text-transform:uppercase; font-size:0.75rem;"><br/> <span class="type">journal</span>, <span class="date" data-date="2015-02-01">February 2015</span></small> </h2> <ul class="small references-list" style="list-style-type:none; margin-top: 0.5em; padding-left: 0; line-height:1.8em;"> <li> <span style="color:#5C7B2D;"> Bacca, Sonia; Barnea, Nir; Leidemann, Winfried</span> </li> <li> Physical Review C, Vol. 91, Issue 2</li> <li> <span class="text-muted related-url">DOI: <a href="https://doi.org/10.1103/PhysRevC.91.024303" class="text-muted" target="_blank" rel="noopener noreferrer">10.1103/PhysRevC.91.024303<span class="fa fa-external-link" aria-hidden="true"></span></a></span> </li> </ul> <hr/> </div><div> <h2 class="title" style="margin-bottom:0;" data-apporder=""> <a href="https://doi.org/10.1103/PhysRevC.89.064303" target="_blank" rel="noopener noreferrer" class="name">Electric dipole response of <math> <mmultiscripts> <mi mathvariant="normal">He</mi> <mprescripts/> <none/> <mrow> <mn>6</mn> </mrow> </mmultiscripts> </math> : Halo-neutron and core excitations<span class="fa fa-external-link" aria-hidden="true"></span></a> <small class="text-muted" style="text-transform:uppercase; font-size:0.75rem;"><br/> <span class="type">journal</span>, <span class="date" data-date="2014-06-01">June 2014</span></small> </h2> <ul class="small references-list" style="list-style-type:none; margin-top: 0.5em; padding-left: 0; line-height:1.8em;"> <li> <span style="color:#5C7B2D;"> Mikami, D.; Horiuchi, W.; Suzuki, Y.</span> </li> <li> Physical Review C, Vol. 89, Issue 6</li> <li> <span class="text-muted related-url">DOI: <a href="https://doi.org/10.1103/PhysRevC.89.064303" class="text-muted" target="_blank" rel="noopener noreferrer">10.1103/PhysRevC.89.064303<span class="fa fa-external-link" aria-hidden="true"></span></a></span> </li> </ul> <hr/> </div><div> <h2 class="title" style="margin-bottom:0;" data-apporder=""> <a href="https://doi.org/10.1088/0034-4885/54/2/002" target="_blank" rel="noopener noreferrer" class="name">Sum rules for electron-nucleus scattering<span class="fa fa-external-link" aria-hidden="true"></span></a> <small class="text-muted" style="text-transform:uppercase; font-size:0.75rem;"><br/> <span class="type">journal</span>, <span class="date" data-date="1991-02-01">February 1991</span></small> </h2> <ul class="small references-list" style="list-style-type:none; margin-top: 0.5em; padding-left: 0; line-height:1.8em;"> <li> <span style="color:#5C7B2D;"> Orlandini, G.; Traini, M.</span> </li> <li> Reports on Progress in Physics, Vol. 54, Issue 2</li> <li> <span class="text-muted related-url">DOI: <a href="https://doi.org/10.1088/0034-4885/54/2/002" class="text-muted" target="_blank" rel="noopener noreferrer">10.1088/0034-4885/54/2/002<span class="fa fa-external-link" aria-hidden="true"></span></a></span> </li> </ul> <hr/> </div><div> <h2 class="title" style="margin-bottom:0;" data-apporder=""> <a href="https://doi.org/10.1103/PhysRevLett.113.032504" target="_blank" rel="noopener noreferrer" class="name">Measurement of the Isoscalar Monopole Response in the Neutron-Rich Nucleus <math display="inline"> <mrow> <mmultiscripts> <mrow> <mi>Ni</mi> </mrow> <mprescripts/> <none/> <mrow> <mn>68</mn> </mrow> </mmultiscripts> </mrow> </math><span class="fa fa-external-link" aria-hidden="true"></span></a> <small class="text-muted" style="text-transform:uppercase; font-size:0.75rem;"><br/> <span class="type">journal</span>, <span class="date" data-date="2014-07-01">July 2014</span></small> </h2> <ul class="small references-list" style="list-style-type:none; margin-top: 0.5em; padding-left: 0; line-height:1.8em;"> <li> <span style="color:#5C7B2D;"> Vandebrouck, M.; Gibelin, J.; Khan, E.</span> </li> <li> Physical Review Letters, Vol. 113, Issue 3</li> <li> <span class="text-muted related-url">DOI: <a href="https://doi.org/10.1103/PhysRevLett.113.032504" class="text-muted" target="_blank" rel="noopener noreferrer">10.1103/PhysRevLett.113.032504<span class="fa fa-external-link" aria-hidden="true"></span></a></span> </li> </ul> <hr/> </div></div> <div class="pagination-container small"> <a class="pure-button prev page" href="#" rel="prev"><span class="fa fa-angle-left"></span></a><ul class="pagination d-inline-block" style="padding-left:.2em;"></ul><a class="pure-button next page" href="#" rel="next"><span class="fa fa-angle-right"></span></a> </div> </div> </div> <div class="col-sm-3 order-sm-3"> <ul class="nav nav-stacked"> <li class="active"><a href="" class="reference-type-filter tab-nav" data-tab="biblio-references" data-filter="type" data-pattern="*"><span class="fa fa-angle-right"></span> All References</a></li> <li class="small" style="margin-left:.75em; 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float:none;">[ × clear filter / sort ]</a> </div> </form> </div> </div> </div> </section> <section id="biblio-related" class="tab-content tab-content-sec " data-tab="biblio"> <div class="row"> <div class="col-sm-9 order-sm-9"> <section id="biblio-similar" class="tab-content tab-content-sec active" data-tab="related"> <div class="padding"> <p class="lead text-muted" style="font-size: 18px; margin-top:0px;">Similar Records in DOE PAGES and OSTI.GOV collections:</p> <aside> <ul class="item-list" itemscope itemtype="http://schema.org/ItemList" style="padding-left:0; list-style-type: none;"> <li> <div class="article item document" itemprop="itemListElement" itemscope itemtype="http://schema.org/WebPage"><meta itemprop="position" content="0" /><div class="item-info"> <h2 class="title" itemprop="name headline"><a href="/biblio/6761922-gamma-decay-giant-resonances-excited-heavy-ions" itemprop="url">Gamma decay of giant resonances excited by heavy ions</a></h2> <div class="metadata"> <small class="text-muted" style="text-transform:uppercase;display:block;line-height:2.5em;">Conference</small><span class="authors"> <span class="author">Halbert, M L</span> <span class="text-muted pubdata"></span> </span> </div> <div class="abstract">Experiments on /sup 208/Pb bombarded by /sup 17/O at 22 MeV/nucleon (ORNL) and 84 MeV nucleon (GANIL) are reviewed. Inelastically scattered projectiles were detected at forward angles in coincidence with gamma rays seen in NaI (ORNL) or in BaF/sub 2/ (GANIL). The /sup 17/O were identified by 6 Si telescopes covering THETA = 11. 5/degree/--14.5/degree/ (ORNL) or by the focal-plane detector system of the energy-loss spectrometer SPEG, set to accept THETA = 1. 5/degree/--5.0/degree/ (GANIL). The ..gamma..-ray data provide information on the multipole character of various parts of the giant resonance region, matrix elements between the GR region and low-lying<a href='#' onclick='$(this).hide().next().show().next().show();return false;' style='margin-left:10px;'>more »</a><span style='display:none;'> states in /sup 208/Pb, and the relative contribution of direct and compound process to ..gamma../sub 0/ decay. At the higher energy the 9--15 MeV GR region is excited very strongly. The isovector giant dipole is dominant over most of the angles studied. Significant contributions from the isoscalar giant quadrupole and monopole resonances are also present. Decomposition of the GR into L = 1, 2, and 0 components was based on coincidences with the overwhelmingly dipole ..gamma../sub 0/ transitions. The magnitude (1.7 +- 0.2%) and energy distribution of the ..gamma../sub 0/ branch can be reproduced well by a parameter-free calculation. The ..gamma../sub 0/ decay of the isoscalar giant quadrupole resonance is more easily observed at the lower energy. The ..gamma../sub 0/ angular correlations confirm the presence of E2 radiation from states in the 9--11 MeV region. The B(E2) implies that the ratio of neutron to proton matrix elements is consistent with the expected value of N/Z. This conclusion is confirmed by evidence form Coulomb-nuclear interference in the singles data at 84 MeV/nucleon. Photon decays to excited states indicate that 4/sup +/ and/or 6/sup +/ strength is present around 9--10 MeV, and are consistent with a monopole contribution from 12.5--15.5 MeV. 20 refs., 14 figs.</span><a href='#' onclick='$(this).hide().prev().hide().prev().show();return false;' style='margin-left:10px;display:none;'>« less</a></div><div class="metadata-links small clearfix text-muted" style="margin-top:15px;"> <div class="pure-menu pure-menu-horizontal pull-right" style="width:unset;"> <ul class="pure-menu-list"> <li class="pure-menu-item"><span class="item-info-ftlink"><a class="misc fulltext-link " href="/servlets/purl/6761922" title="Link to document media" target="_blank" rel="noopener" data-ostiid="6761922" data-product-type="Conference" data-product-subtype="" >Full Text Available</a></span></li> </ul> </div> </div> </div> <div class="clearfix"></div> </div> </li> <li> <div class="article item document" itemprop="itemListElement" itemscope itemtype="http://schema.org/WebPage"><meta itemprop="position" content="1" /><div class="item-info"> <h2 class="title" itemprop="name headline"><a href="/biblio/5508082-excitation-photon-decay-giant-resonances-excited-intermediate-energy-heavy-ions" itemprop="url">Excitation and photon decay of giant resonances excited by intermediate energy heavy ions</a></h2> <div class="metadata"> <small class="text-muted" style="text-transform:uppercase;display:block;line-height:2.5em;">Conference</small><span class="authors"> <span class="author">Bertrand, F E</span> ; <span class="author">Beene, J R</span> <span class="text-muted pubdata"></span> </span> </div> <div class="abstract">Inelastic scattering of medium energy heavy ions provides very large cross sections and peak-to-continuum ratios for excitation of giant resonances. For energies above about 50 MeV/nucleon, giant resonances are excited primarily through Coulomb excitation, which is indifferent to isospin, thus providing a good probe for the study of isovector giant resonances. The extremely large cross sections available from heavy ion excitation permit the study of rare decay modes of the giant resonances. In particular, recent measurements have been made of the photon decay of giant resonances following excitation by 22 and 84 MeV/nucleon /sup 17/O projectiles. The singles results at<a href='#' onclick='$(this).hide().next().show().next().show();return false;' style='margin-left:10px;'>more »</a><span style='display:none;'> 84 MeV/nucleon yield peak cross sections for the isoscalar giant quadrupole resonance and the isovector giant dipole resonance of approximately 0.8 and 3 barns/sr, respectively. Data on the ground state decay of the isoscalar giant quadrupole and isovector giant dipole resonances are presented and compared with calculations. Decays to low-lying excited states are also discussed. Preliminary results from an experiment to isolate the /sup 208/Pb isovector quadrupole resonance using its gamma decay are presented. 22 refs., 19 figs., 1 tab.</span><a href='#' onclick='$(this).hide().prev().hide().prev().show();return false;' style='margin-left:10px;display:none;'>« less</a></div><div class="metadata-links small clearfix text-muted" style="margin-top:15px;"> <div class="pure-menu pure-menu-horizontal pull-right" style="width:unset;"> <ul class="pure-menu-list"> <li class="pure-menu-item"><span class="item-info-ftlink"><a class="misc fulltext-link " href="/servlets/purl/5508082" title="Link to document media" target="_blank" rel="noopener" data-ostiid="5508082" data-product-type="Conference" data-product-subtype="" >Full Text Available</a></span></li> </ul> </div> </div> </div> <div class="clearfix"></div> </div> </li> <li> <div class="article item document" itemprop="itemListElement" itemscope itemtype="http://schema.org/WebPage"><meta itemprop="position" content="2" /><div class="item-info"> <h2 class="title" itemprop="name headline"><a href="/biblio/7144820-excitation-photon-decay-giant-multipole-resonances-role-future-medium-energy-heavy-ions" itemprop="url">Excitation and photon decay of giant multipole resonances - the role and future of medium-energy heavy ions</a></h2> <div class="metadata"> <small class="text-muted" style="text-transform:uppercase;display:block;line-height:2.5em;">Conference</small><span class="authors"> <span class="author">Bertrand, F E</span> ; <span class="author">Beene, J R</span> ; <span class="author">Horen, D J</span> <span class="text-muted pubdata"></span> </span> </div> <div class="abstract">Inelastic scattering of medium energy heavy ions provides very large cross sections and peak-to-continuum ratios for excitation of giant resonances. For energies above about 50 MeV/nucleon, giant resonances are excited primarily through Coulomb excitation, which is indifferent to isospin, thus providing a good probe for the study of isovector giant resonances. The extremely large cross sections available from heavy ion excitation permit the study of rare decay modes of the photon decay of giant resonances following excitation by 22 and 84 MeV/nucleon /sup 17/O projectiles. The singles results at 84 MeV/nucleon yield peak cross sections for the isoscalar giant quadrupole<a href='#' onclick='$(this).hide().next().show().next().show();return false;' style='margin-left:10px;'>more »</a><span style='display:none;'> resonance and the isovector giant dipole resonance of approximately 0.8 and 3 barns/sr, respectively. Data on the ground state decay of the isoscalar giant quadrupole and isovector giant dipole resonances are presented and compared with calculations. Decays to low-lying excited states are also discussed. Preliminary results from an experiment to isolate the /sup 208/Pb isovector quadrupole resonance using its gamma decay are presented.</span><a href='#' onclick='$(this).hide().prev().hide().prev().show();return false;' style='margin-left:10px;display:none;'>« less</a></div><div class="metadata-links small clearfix text-muted" style="margin-top:15px;"> <div class="pure-menu pure-menu-horizontal pull-right" style="width:unset;"> <ul class="pure-menu-list"> <li class="pure-menu-item"><span class="item-info-ftlink"><a class="misc fulltext-link " href="/servlets/purl/7144820" title="Link to document media" target="_blank" rel="noopener" data-ostiid="7144820" data-product-type="Conference" data-product-subtype="" >Full Text Available</a></span></li> </ul> </div> </div> </div> <div class="clearfix"></div> </div> </li> <li> <div class="article item document" itemprop="itemListElement" itemscope itemtype="http://schema.org/WebPage"><meta itemprop="position" content="3" /><div class="item-info"> <h2 class="title" itemprop="name headline"><a href="/pages/biblio/1424035-measurement-higher-order-multipole-amplitudes-c1-c1-search-transition" itemprop="url">Measurement of higher-order multipole amplitudes in <math> <mi> ψ </mi> <mo> ( </mo> <mn> 3686 </mn> <mo> ) </mo> <mo> → </mo> <mi> γ </mi> <msub> <mi> χ </mi> <mrow> <mi> c </mi> <mn> 1 </mn> <mo> , </mo> <mn> 2 </mn> </mrow> </msub> </math> with <math> <msub> <mi> χ </mi> <mrow> <mi> c </mi> <mn> 1 </mn> <mo> , </mo> <mn> 2 </mn> </mrow> </msub> <mo> → </mo> <mi> γ </mi> <mi> J </mi> <mo> / </mo> <mi> ψ </mi> </math> and search for the transition <math> <msub> <mi> η </mi> <mi> c </mi> </msub> <mo> ( </mo> <mn> 2 </mn> <mi> S </mi> <mo> ) </mo> <mo> → </mo> <mi> γ </mi> <mi> J </mi> <mo> / </mo> <mi> ψ </mi> </math></a></h2> <div class="metadata"> <small class="text-muted" style="text-transform:uppercase;display:block;line-height:2.5em;">Journal Article</small><span class="authors"> <span class="author">Ablikim, M.</span> ; <span class="author">Achasov, M. N.</span> ; <span class="author">Ai, X. C.</span> ; <span class="author">...</span> <span class="text-muted pubdata"> - Physical Review D</span> </span> </div> <div class="abstract">Using 106 ×10 <sup>6</sup> ψ (3686) events collected with the BESIII detector, we measure multipole amplitudes for the decay ψ (3686) → γχ <sub>c1,2</sub> → γγ J/ψ beyond the dominant electric-dipole amplitudes. The normalized magnetic-quadrupole (M2) amplitude for ψ (3686) → γχ <sub>c1,2</sub> → γγ J/ψ and the normalized electric-octupole amplitudes for ψ ( 3686 ) → γχ <sub>c2</sub>, χ <sub>c2</sub> → γJ/ψ are determined. The M2 amplitudes for ψ (3686) → γ χ <sub>c1</sub> and χ <sub>c1,2</sub> → γ J / ψ are found to differ significantly from zero and are consistent with theoretical predictions. We also obtain the ratios of M2 contributions of ψ ( 3686 ) and J /ψ decays to χ <sub>c1,2</sub>, b<a href='#' onclick='$(this).hide().next().show().next().show();return false;' style='margin-left:10px;'>more »</a><span style='display:none;'> $$1\atop{2}$$/ b$$2\atop{2}$$ = 1.35 ± 0.72 and a$$1\atop{2}$$/a$$2\atop{2}$$ = 0.617 ± 0.083 , which agree well with theoretical expectations. By considering the multipole contributions of χ c 1 , 2 , we measure the product branching fractions for the cascade decays ψ ( 3686 ) → γχ <sub>c0,1,2</sub> → γγJ/ψ and search for the process η <sub>c</sub> (2S) → γJ/ψ through ψ ( 3686 ) → γη <sub>c</sub> (2S). The product branching fraction for ψ (3686) → γχ <sub>c0</sub> → γγJ/ψ is 3σ larger than published measurements, while those of ψ (3686) → γχ <sub>c1,2</sub> → γγJ/ψ are consistent. In conclusion, no significant signal for the decay ψ ( 3686 ) → γη <sub>c</sub> (2S) → γγJ/ψ is observed, and the upper limit of the product branching fraction at the 90% confidence level is determined.</span><a href='#' onclick='$(this).hide().prev().hide().prev().show();return false;' style='margin-left:10px;display:none;'>« less</a></div><div class="metadata-links small clearfix text-muted" style="margin-top:15px;"> <span class="fa fa-book text-muted" aria-hidden="true"></span> Cited by 2<div class="pure-menu pure-menu-horizontal pull-right" style="width:unset;"> <ul class="pure-menu-list"> <li class="pure-menu-item"><span class="item-info-ftlink">DOI: <a class="misc doi-link " href="https://doi.org/10.1103/PhysRevD.95.072004" target="_blank" rel="noopener" title="Link to document DOI" data-ostiid="1424035" data-product-type="Journal Article" data-product-subtype="AM" >10.1103/PhysRevD.95.072004</a></span></li> <li class="pure-menu-item"><span class="item-info-ftlink"><a class="misc fulltext-link " href="/pages/servlets/purl/1424035" title="Link to document media" target="_blank" rel="noopener" data-ostiid="1424035" data-product-type="Journal Article" data-product-subtype="AM" >Full Text Available</a></span></li> </ul> </div> </div> </div> <div class="clearfix"></div> </div> </li> <li> <div class="article item document" itemprop="itemListElement" itemscope itemtype="http://schema.org/WebPage"><meta itemprop="position" content="4" /><div class="item-info"> <h2 class="title" itemprop="name headline"><a href="/biblio/7335717-electroexcitation-giant-multipole-resonances-sup-pb" itemprop="url">Electroexcitation of giant multipole resonances in /sup 208/Pb</a></h2> <div class="metadata"> <small class="text-muted" style="text-transform:uppercase;display:block;line-height:2.5em;">Journal Article</small><span class="authors"> <span class="author">Sasao, M</span> ; <span class="author">Torizuka, Y</span> <span class="text-muted pubdata"> - Phys. Rev., C; (United States)</span> </span> </div> <div class="abstract">Electroexcitation of the nuclear continuum for /sup 208/Pb at excitation energies up to 100 MeV has been measured at momentum transfers in the range from 0.45 to 1.2 fm/sup -1/. Unfolding of the radiation tail was performed using a tail function which takes into account the multiple-photon emission effect. The spectra at these momentum transfers deviate significantly from the prediction of the Fermi-gas model but are consistent with the sum of the multipole strengths of the random-phase approximation; the excess cross section on the low excitation energy side indicates the excitation of multipole resonances. A series of /sup 208/Pb spectra<a href='#' onclick='$(this).hide().next().show().next().show();return false;' style='margin-left:10px;'>more »</a><span style='display:none;'> at low momentum transfers was expanded into E1, E2 (E0), E3, and higher multipole components using the q dependence of the Tassie model for isoscalar modes and the Goldhaber-Teller or Steinwedel-Jensen model for isovector modes. The giant dipole resonance thus obtained is consistent with that from photoreactions. Isoscalar and isovector giant quadrupole resonances are seen, respectively, at 11 and 22.5 MeV and an octupole resonance at 16 MeV. A monopole resonance is suggested at 13.5 MeV. The reduced < r/sup 2/ >/sup 2/, B (E1), B (E2), and B (E3) consume most of the corresponding energy weighted sum rule if the q dependences of the Tassie and Goldhaber-Teller models are assumed. The results with these models are consistent with the random-phase approximation. (AIP)</span><a href='#' onclick='$(this).hide().prev().hide().prev().show();return false;' style='margin-left:10px;display:none;'>« less</a></div><div class="metadata-links small clearfix text-muted" style="margin-top:15px;"> <div class="pure-menu pure-menu-horizontal pull-right" style="width:unset;"> <ul class="pure-menu-list"> <li class="pure-menu-item"><span class="item-info-ftlink">DOI: <a class="misc doi-link " href="https://doi.org/10.1103/PhysRevC.15.217" target="_blank" rel="noopener" title="Link to document DOI" data-ostiid="7335717" data-product-type="Journal Article" data-product-subtype="AC" >10.1103/PhysRevC.15.217</a></span></li> </ul> </div> </div> </div> <div class="clearfix"></div> </div> </li> </ul> </aside> </div> </section> </div> <div class="col-sm-3 order-sm-3"> <ul class="nav nav-stacked"> <li class="active"><a class="tab-nav disabled" data-tab="related" style="color: #636c72 !important; opacity: 1;"><span class="fa fa-angle-right"></span> Similar Records</a></li> </ul> </div> </div> </section> </div></div> </div> </div> </section> <footer class="" style="background-color:#f9f9f9; /* padding-top: 0.5rem; */"> <div class="footer-minor"> <div class="container"> <hr class="footer-separator" /> <div class="text-center" style="margin-top:1.25rem;"> <div class="pure-menu pure-menu-horizontal"> <ul class="pure-menu-list" id="footer-org-menu"> <li class="pure-menu-item"> <a href="https://energy.gov" target="_blank" rel="noopener noreferrer"> <img src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" class="sprite sprite-footer-us-doe-min" alt="U.S. Department of Energy" /> </a> </li> <li class="pure-menu-item"> <a href="https://www.energy.gov/science/office-science" target="_blank" rel="noopener noreferrer"> <img src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" class="sprite sprite-footer-office-of-science-min" alt="Office of Science" /> </a> </li> <li class="pure-menu-item"> <a href="/"> <img src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" class="sprite sprite-footer-osti-min" alt="Office of Scientific and Technical Information" /> </a> </li> </ul> </div> </div> <div class="text-center small" style="margin-top:0.5em;margin-bottom:2.0rem;"> <div class="pure-menu pure-menu-horizontal"> <ul class="pure-menu-list"> <li class="pure-menu-item"><a href="/disclaim" class="pure-menu-link"><span class="fa fa-institution"></span> Website Policies <span class="hidden-xs">/ Important Links</span></a></li> <li class="pure-menu-item"><a href="/pages/contact" class="pure-menu-link"><span class="fa fa-comments-o"></span> Contact Us</a></li> <li class="d-block d-md-none"></li> <li class="pure-menu-item"><a href="https://www.facebook.com/ostigov" target="_blank" rel="noopener noreferrer" class="pure-menu-link social"><span class="fa fa-facebook" style=""></span></a></li> <li class="pure-menu-item"><a href="https://twitter.com/OSTIgov" target="_blank" rel="noopener noreferrer" class="pure-menu-link social"><span class="fa fa-twitter" style=""></span></a></li> <li class="pure-menu-item"><a href="https://www.youtube.com/user/ostigov" target="_blank" rel="noopener noreferrer" class="pure-menu-link social"><span class="fa fa-youtube-play" style=""></span></a></li> </ul> </div> </div> </div> </div> </footer> <link href="/pages/css/pages.fonts.200423.1532.css" rel="stylesheet"> <script src="/pages/js/pages.200423.1532.js"></script><noscript></noscript> <script src='https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.4/MathJax.js?config=TeX-MML-AM_CHTML' async> MathJax.Hub.Config({ tex2jax: {displayMath: [], inlineMath: [['$$','$$'], ['\\(','\\)']]}, asciimath2jax: {delimiters: []}, skipStartupTypeset: true, webFont: null, CommonHTML: { scale: 84, // mathjx wants to scale everything to 119% by default? mtextFontInherit: true } }); MathJax.Hub.Queue(["Typeset",MathJax.Hub,"item-list"]); MathJax.Hub.Queue(["Typeset",MathJax.Hub,"citation-pagetitle"]); MathJax.Hub.Queue(["Typeset",MathJax.Hub,"citation-abstract"]); </script><noscript></noscript><script defer src="/pages/js/pages.biblio.200423.1532.js"></script><noscript></noscript> <script defer src="/pages/js/lity.js"></script><noscript></noscript><script async type="text/javascript" src="/pages/js/Universal-Federated-Analytics-Min.js?agency=DOE" id="_fed_an_ua_tag"></script><noscript></noscript></body> <!-- DOE PAGES v.200423.1532 --> </html>