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Collective excitations involving spin and isospin degrees of freedom

  • Hiroyuki SagawaEmail author
  • Gianluca Colò
  • Xavier Roca-Maza
  • Yifei Niu
Regular Article - Theoretical Physics
  • 24 Downloads
Part of the following topical collections:
  1. Giant, Pygmy, Pairing Resonances and Related Topics

Abstract.

In this paper, we discuss some new important developments in the study of isobaric analog states (IAS) and Gamow-Teller resonances (GTR). In the case of the IAS, we have shown the importance of taking into account charge symmetry breaking (CSB) and charge independence breaking (CIB) forces, in order to reconcile the reproduction of the IAS energy in 208Pb with the reproduction of some very basic observables like the neutron skin which, in turn, is strongly correlated with the density dependence of the symmetry energy. Isospin symmetry breaking terms can increase the energy of the IAS associated with Skyrme EDFs that produce a reasonable value of the neutron skin. In particular, this has been shown in the case of the SAMi functional. The GTR has a large damping width and its strength is experimentally found to be quenched with respect to standard RPA calculations. We have revised the PVC model for the width of giant resonances using the Skyrme force consistently for RPA (QRPA) and (quasi-)particle-vibration couplings (PVC or QPVC) calculations. We apply this model to the study of the GTR both in magic and open-shell nuclei. The results are in very good agreement with the experimental findings. The remaining discrepancies point to the necessity of fine tuning of the spin, spin-isospin, and spin-orbit terms in the existing EDFs. Some detailed formulas of CSB and CIB energy densities are given in the appendix.

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Copyright information

© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Hiroyuki Sagawa
    • 1
    • 2
    Email author
  • Gianluca Colò
    • 3
  • Xavier Roca-Maza
    • 3
  • Yifei Niu
    • 4
  1. 1.RIKEN Nishina CenterWakoJapan
  2. 2.Center for Mathematics and PhysicsUniversity of AizuAizu-WakamatsuJapan
  3. 3.Dipartimento di Fisica, Università degli Studi di Milano and INFN, Sezione di MilanoMilanoItaly
  4. 4.School of Nuclear Science and TechnologyLanzhou UniversityLanzhouChina

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