Charge symmetry breaking in hypernuclei within RMF model

Ting-Ting Sun; Yusuke Tanimura; Hiroyuki Sagawa; Emiko Hiyama

doi:10.1016/j.physletb.2025.139460

paper

Charge symmetry breaking in hypernuclei within RMF model

arXiv:2502.21161 · doi:10.1016/j.physletb.2025.139460

Abstract

We study the charge symmetry breaking (CSB) effect in the binding energy of mirror hypernuclei in the mass region $A = 7 \sim 48$ in relativistic mean field (RMF) models introducing $N N$ and $I^ N$ interactions. The phenomenological $I^ N$ CSB interaction is introduced and the strength parameter is fitted to reproduce the experimental binding energy difference between the mirror hypernuclei $_{I^}^{12} $ B and $_{I^}^{12} $ C. This model is applied to calculate the CSB energy anomaly in mirror hypernuclei with the mass $A = 7 \sim 48$ . The model is further applied to predict the binding energy difference of mirror hypernuclei of $A$ =40 with the isospin $T = 1/2$ , $3/2$ and $5/2$ nuclei together with various hyper Ca isotopes and their mirror hypernuclei. Finally the binding energy systematics of $A =$ 48 hypernuclei are predicted with/without the CSB effect by the PK1 and TM2 energy density functionals (EDFs).

4 figures, 2 tables