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Collective excitations involving spin and isospin degrees of freedom

  • Regular Article - Theoretical Physics
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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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Author information

Authors and Affiliations

  1. RIKEN Nishina Center, 351-0198, Wako, Japan

    Hiroyuki Sagawa

  2. Center for Mathematics and Physics, University of Aizu, 965-8560, Aizu-Wakamatsu, Fukushima, Japan

    Hiroyuki Sagawa

  3. Dipartimento di Fisica, Università degli Studi di Milano and INFN, Sezione di Milano, 20133, Milano, Italy

    Gianluca Colò & Xavier Roca-Maza

  4. School of Nuclear Science and Technology, Lanzhou University, 730000, Lanzhou, China

    Yifei Niu

Authors
  1. Hiroyuki Sagawa
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  2. Gianluca Colò
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  3. Xavier Roca-Maza
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  4. Yifei Niu
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Corresponding author

Correspondence to Hiroyuki Sagawa.

Additional information

Communicated by N. Alamanos

Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: All data generated during this study are contained in this published article.]

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Sagawa, H., Colò, G., Roca-Maza, X. et al. Collective excitations involving spin and isospin degrees of freedom. Eur. Phys. J. A 55, 227 (2019). https://doi.org/10.1140/epja/i2019-12923-y

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