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Toward ab initio charge symmetry breaking in nuclear energy density functionals

Tomoya Naito (内藤智也)1,2,*, Gianluca Colò3,4,†, Haozhao Liang (梁豪兆)1,2,‡, Xavier Roca-Maza3,4,§, and Hiroyuki Sagawa (佐川弘幸)5,2,∥

  • 1Department of Physics, Graduate School of Science, The University of Tokyo, Tokyo 113-0033, Japan
  • 2RIKEN Nishina Center, Wako 351-0198, Japan
  • 3Dipartimento di Fisica, Università degli Studi di Milano, Via Celoria 16, 20133 Milano, Italy
  • 4INFN, Sezione di Milano, Via Celoria 16, 20133 Milano, Italy
  • 5Center for Mathematics and Physics, University of Aizu, Aizu-Wakamatsu 965-8560, Japan

  • *tomoya.naito@phys.s.u-tokyo.ac.jp
  • †colo@mi.infn.it
  • ‡haozhao.liang@phys.s.u-tokyo.ac.jp
  • §xavier.roca.maza@mi.infn.it
  • ∥sagawa@ribf.riken.jp

Phys. Rev. C 105, L021304 – Published 7 February, 2022

DOI: https://doi.org/10.1103/PhysRevC.105.L021304

Abstract

We propose a new approach to determine the strength of the charge symmetry breaking (CSB) term in the framework of nuclear density functional theory. It is shown that once ab initio calculations are available including accurate description of isospin symmetry breaking terms in medium and heavy nuclei, the mass difference of mirror nuclei as well as the neutron-skin thickness of doubly-closed-shell nuclei can be used to constrain the strength of the CSB interaction with an uncertainty less than 6%, separately from other isospin symmetry breaking forces. This method opens a new vista of ab initio nuclear energy density functionals.

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