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ORIGINAL RESEARCH article

Front. Phys.
Sec. Nuclear Physics​
Volume 12 - 2024 | doi: 10.3389/fphy.2024.1487954
This article is part of the Research Topic Neutron Skin Thickness in Atomic Nuclei: Current Status and Recent Theoretical, Experimental and Observational Developments View all 3 articles

Mixing of isoscalar and isovector characters in low-energy dipole mode

Provisionally accepted
Tsunenori Inakura Tsunenori Inakura 1*Shuichiro EBATA Shuichiro EBATA 2*
  • 1 Tokyo Institute of Technology, Meguro City, Tōkyō, Japan
  • 2 Saitama University, Saitama, Japan

The final, formatted version of the article will be published soon.

    We investigated isospin splitting in low-energy dipole (LED) states of spherical nuclei such as 40 Ca, 90 Zr, 132 Sn, 208 Pb, and several N = 50 isotones using self-consistent Hartree-Fock plus random phase approximation calculations. Our analysis of isovector dipole (IVD) and isoscalar dipole (ISD) strengths, along with transition densities, reveals a clear energydependent relationship between IS and IV modes in 40 Ca and 90 Zr. For 208 Pb and 132 Sn, LED states show mixed IS+IV characters due to different neutron and proton shell structures. In N = 50 isotones, E1 modes exhibit varying IS and IV properties with smooth transitions as neutron excess increases. Our results suggest that compressional ISD strengths could provide valuable insights into the slope parameter of the nuclear equation of state. The observed dependence on nuclear shell structures and neutron-proton correlations highlights the need for precise measurements and further research in nuclear physics.

    Keywords: Electric dipole mode, PDR, isoscalar and isovector characters, RPA, Energy density functional, Hartree-Fock method

    Received: 29 Aug 2024; Accepted: 05 Nov 2024.

    Copyright: © 2024 Inakura and EBATA. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

    * Correspondence:
    Tsunenori Inakura, Tokyo Institute of Technology, Meguro City, 152-8550, Tōkyō, Japan
    Shuichiro EBATA, Saitama University, Saitama, Japan

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