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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 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 lowermore » 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 Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP); National Natural Science Foundation of China (NSFC)
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. https://doi.org/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. https://doi.org/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 = {Thu May 03 00:00:00 EDT 2018},
month = {Thu May 03 00:00:00 EDT 2018}
}

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Niksic, T.; Vretenar, D.</span> </li> <li> arXiv</li> <li> <span class="text-muted related-url">DOI: <a href="https://doi.org/10.48550/arxiv.nucl-th/0212011" class="text-muted" target="_blank" rel="noopener noreferrer">10.48550/arxiv.nucl-th/0212011<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/10.48550/arxiv.nucl-th/0304018" target="_blank" rel="noopener noreferrer" class="name">Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation 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">text</span>, <span class="date" data-date="2003-01-01">January 2003</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;"> Entem, D. R.; Machleidt, R.</span> </li> <li> arXiv</li> <li> <span class="text-muted related-url">DOI: <a href="https://doi.org/10.48550/arxiv.nucl-th/0304018" class="text-muted" target="_blank" rel="noopener noreferrer">10.48550/arxiv.nucl-th/0304018<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/10.48550/arxiv.nucl-th/0701081" target="_blank" rel="noopener noreferrer" class="name">Exotic modes of excitation in atomic nuclei far from stability<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">text</span>, <span class="date" data-date="2007-01-01">January 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;"> Paar, N.; Vretenar, D.; Khan, E.</span> </li> <li> arXiv</li> <li> <span class="text-muted related-url">DOI: <a href="https://doi.org/10.48550/arxiv.nucl-th/0701081" class="text-muted" target="_blank" rel="noopener noreferrer">10.48550/arxiv.nucl-th/0701081<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/10.48550/arxiv.nucl-th/9408016" target="_blank" rel="noopener noreferrer" class="name">An accurate nucleon-nucleon potential with charge-independence breaking<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">text</span>, <span class="date" data-date="1994-01-01">January 1994</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;"> Wiringa, R. B.; Stoks, V. G. J.; Schiavilla, R.</span> </li> <li> arXiv</li> <li> <span class="text-muted related-url">DOI: <a href="https://doi.org/10.48550/arxiv.nucl-th/9408016" class="text-muted" target="_blank" rel="noopener noreferrer">10.48550/arxiv.nucl-th/9408016<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/10.48550/arxiv.nucl-th/9911049" target="_blank" rel="noopener noreferrer" class="name">Photodisintegration of Three-Body Nuclei with Realistic 2N and 3N Forces<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">text</span>, <span class="date" data-date="1999-01-01">January 1999</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;"> Efros, Victor D.; Leidemann, Winfried; Orlandini, Giuseppina</span> </li> <li> arXiv</li> <li> <span class="text-muted related-url">DOI: <a href="https://doi.org/10.48550/arxiv.nucl-th/9911049" class="text-muted" target="_blank" rel="noopener noreferrer">10.48550/arxiv.nucl-th/9911049<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="sr-only">Previous Page</span><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="sr-only">Next Page</span><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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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="/pages/biblio/1801971-nuclear-multipole-responses-from-chiral-effective-field-theory-interactions" itemprop="url">Nuclear multipole responses from chiral effective field theory interactions</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">Hu, B. S.</span> ; <span class="author">Wu, Q.</span> ; <span class="author">Yuan, Q.</span> ; <span class="author">...</span> <span class="text-muted pubdata"> - Physical Review C</span> </span> </div> <div class="abstract">We probe nuclear multipole resonances in the framework of the random-phase approximation by using the interaction obtained from the chiral effective field theory. The three-nucleon force is included in a form of the in-medium two-nucleon interaction, which was derived from the chiral three-nucleon force. The isoscalar monopole, isoscalar dipole, isovector dipole, and isoscalar quadrupole resonances of the closed-shell <sup>56,68,78</sup>Ni have been investigated. The calculations reasonably reproduce the experimental multipole resonances of <sup>56,68</sup>Ni, and well describe the pygmy dipole resonance and dipole polarizability measured in <sup>68</sup>Ni. The multipole resonances of <sup>78</sup>Ni, including pygmy dipole resonance and dipole polarizability, are predicted. The<a href='#' onclick='$(this).hide().next().show().next().show();return false;' style='margin-left:10px;'>more »</a><span style='display:none;'> detailed effects of the tensor force and three-body force are analyzed by dissecting the chiral interaction. In this work, we find that in general the tensor force effect on electric giant resonances is not as significant as the effect from the three-body force, although the tensor force provides more than half of the binding energy. The effect from three-body force is strong in light nuclei. Particularly, three-body force is crucial for the formation of the pygmy resonance in calculations.</span><a href='#' onclick='$(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 1<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 doi-link " href="https://doi.org/10.1103/physrevc.101.044309" target="_blank" rel="noopener" title="Link to document DOI" data-ostiid="1801971" data-product-type="Journal Article" data-product-subtype="AM" >https://doi.org/10.1103/physrevc.101.044309</a></span></li> <li class="pure-menu-item"><span class="item-info-ftlink"><a class="misc fulltext-link " href="/pages/servlets/purl/1801971" title="Link to document media" target="_blank" rel="noopener" data-ostiid="1801971" 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="2" /><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="3" /><div class="item-info"> <h2 class="title" itemprop="name headline"><a href="/pages/biblio/1860672-quantifying-uncertainties-neutron-alpha-scattering-chiral-nucleon-nucleon-three-nucleon-forces" itemprop="url">Quantifying Uncertainties In Neutron-Alpha Scattering With Chiral Nucleon-Nucleon And Three-Nucleon Forces</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">Kravvaris, Konstantinos</span> ; <span class="author">Quinlan, Kevin R.</span> ; <span class="author">Quaglioni, Sofia</span> ; <span class="author">...</span> <span class="text-muted pubdata"> - Physical Review. C</span> </span> </div> <div class="abstract">We report that modern ab initio theory combined with high-quality nucleon-nucleon (NN) and three-nucleon (3N) interactions from chiral effective field theory (EFT) can provide a predictive description of low-energy light-nuclei reactions relevant for astrophysics and fusion-energy applications. However, the high cost of computations has so far impeded a complete analysis of the uncertainty budget of such calculations. Starting from NN potentials up to fifth order (N<sup>4</sup>LO) combined with leading-order 3N forces, we study how the order-by-order convergence of the chiral expansion and confidence intervals for the 3N contact and contact-plus-one-pion-exchange low-energy constants (c<sub>E</sub> and c<sub>D</sub>) contribute to the overall uncertainty<a href='#' onclick='$(this).hide().next().show().next().show();return false;' style='margin-left:10px;'>more »</a><span style='display:none;'> budget of many-body calculations of neutron- <sup>4</sup>He (n-α) elastic scattering. We compute structure and reaction observables for three-, four-, and five-nucleon systems within the ab initio frameworks of the no-core shell model and no-core shell model with continuum. Using a small set of design runs, we construct a Gaussian process model (GPM) that acts as a statistical emulator for the theory. With this, we gain insight into how uncertainties in the 3N low-energy constants propagate throughout the calculation and determine the Bayesian posterior distribution of these parameters with Markov-Chain Monte Carlo. We find rapidly converging n-α phase shifts with respect to the chiral order. With the adopted leading-order 3N force, calculations based on the NN interaction at N<sup>4</sup>LO of Entem, Machleidt, and Nosyk are unable to reproduce the experimental phase shifts in the 3/2<sup>-</sup> channel within the estimated chiral truncation errors. Closer agreement with empirical data is found when using an older parametrization of the NN interaction at order N<sup>3</sup>LO, and the position and width of the P-wave resonances can be used to reduce the uncertainty of the 3N low-energy constants. The present results point to a lack of spin-orbit strength when the newer parametrization of the chiral NN force up to fifth order is combined with the leading-order 3N force. The inclusion of higher-order 3N-force terms may be required to recover the missing strength. GPMs can act as fast and accurate emulators of ab initio many-body calculations of low-energy scattering and reactions of light nuclei, opening the way to a robust quantification of theoretical uncertainties grounded in the description of the underlying chiral Hamiltonian.</span><a href='#' onclick='$(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 doi-link " href="https://doi.org/10.1103/physrevc.102.024616" target="_blank" rel="noopener" title="Link to document DOI" data-ostiid="1860672" data-product-type="Journal Article" data-product-subtype="AM" >https://doi.org/10.1103/physrevc.102.024616</a></span></li> <li class="pure-menu-item"><span class="item-info-ftlink"><a class="misc fulltext-link " href="/pages/servlets/purl/1860672" title="Link to document media" target="_blank" rel="noopener" data-ostiid="1860672" 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"><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" >https://doi.org/10.1103/PhysRevC.15.217</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="5" /><div class="item-info"> <h2 class="title" itemprop="name headline"><a href="/biblio/6901089-electroexcitation-giant-multipole-resonances-sup-mg" itemprop="url">Electroexcitation of giant multipole resonances in /sup 24/Mg</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">Itoh, K</span> ; <span class="author">Ohsawa, S</span> ; <span class="author">Torizuka, Y</span> ; <span class="author">...</span> <span class="text-muted pubdata"> - Phys. Rev., C; (United States)</span> </span> </div> <div class="abstract">Highly excited multipole resonances of /sup 24/Mg between 9 and 34 MeV excitation energy have been investigated by inelastic electron scattering for incident energies in the 102 and 200 MeV range. Prominent giant dipole resonances were observed at 18.9 and 20 MeV excitation energy, with a shape which is very similar to the shape of the photoneutron cross section. Over twenty-five quadrupole and twenty octupole resonances were identified and separated by means of the multipole expansion method. The giant dipole strength exhausts (85/sup +9//sub -/17)% of the isovector dipole energy-weighted sum rule. The quadrupole and the octupole strength exhaust (117<a href='#' onclick='$(this).hide().next().show().next().show();return false;' style='margin-left:10px;'>more »</a><span style='display:none;'> +- 23)% and (115 +- 23)% of the corresponding isoscalar energy-weighted sum rule, respectively. Evidence for the excitation of higher multipole states such as hexadecapole transitions was also found in the excitation energy region studied.</span><a href='#' onclick='$(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 doi-link " href="https://doi.org/10.1103/PhysRevC.23.945" target="_blank" rel="noopener" title="Link to document DOI" data-ostiid="6901089" data-product-type="Journal Article" data-product-subtype="AC" >https://doi.org/10.1103/PhysRevC.23.945</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;"> <div class="footer-minor"> <div class="container"> <hr class="footer-separator"/> <br/> <div class="col text-center mt-3"> <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="https://www.osti.gov" target="_blank" rel="noopener noreferrer"> <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="col text-center small" style="margin-top: 0.5em;margin-bottom:2.0rem;"> <div class="row justify-content-center" style="color:white"> <div class="pure-menu pure-menu-horizontal" style='white-space:normal'> <ul class="pure-menu-list"> <li class="pure-menu-item"><a href="https://www.osti.gov/disclaim" class="pure-menu-link" target="_blank" ref="noopener noreferrer"><span class="fa fa-institution"></span> Website Policies <span class="d-none d-sm-inline d-print-none" style="color:#737373;">/ Important Links</span></a></li> <li class="pure-menu-item" style='float:none;'><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 mb-1"></li> <li class="pure-menu-item" style='float:none;'><a target="_blank" title="Vulnerability Disclosure Program" class="pure-menu-link" href="https://doe.responsibledisclosure.com/hc/en-us" rel="noopener noreferrer">Vulnerability Disclosure Program</a></li> <li class="d-block d-lg-none mb-1"></li> <li class="pure-menu-item" style="float:none;"><a href="https://www.facebook.com/ostigov" target="_blank" class="pure-menu-link social ext fa fa-facebook" rel="noopener noreferrer"><span class="sr-only" style="background-color: #fff; color: #333;">Facebook</span></a></li> <li class="pure-menu-item" style="float:none;"><a href="https://twitter.com/OSTIgov" target="_blank" class="pure-menu-link social ext fa fa-twitter" rel="noopener noreferrer"><span class="sr-only" style="background-color: #fff; color: #333;">Twitter</span></a></li> <li class="pure-menu-item" style="float:none;"><a href="https://www.youtube.com/user/ostigov" target="_blank" class="pure-menu-link social ext fa fa-youtube-play" rel="noopener noreferrer"><span class="sr-only" style="background-color: #fff; color: #333;">Youtube</span></a></li> </ul> </div> </div> </div> </div> </div> </footer> <link href="/pages/css/pages.fonts.240327.0205.css" rel="stylesheet"> <script src="/pages/js/pages.240327.0205.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? 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