Charge symmetry breaking in hypernuclei within RMF model

TL;DR

This paper investigates charge symmetry breaking effects in hypernuclei using relativistic mean field models, fitting interaction parameters to experimental data and predicting binding energy differences across a range of hypernuclei.

Contribution

It introduces a phenomenological CSB interaction in RMF models and applies it to predict binding energy differences in mirror hypernuclei from A=7 to 48.

Findings

Fitted CSB interaction reproduces experimental energy differences in A=12 hypernuclei.

Predicted binding energy differences for various mirror hypernuclei with A=40.

Systematic predictions of hypernuclei binding energies with and without CSB effects.

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 $NN$ and $\Lambda N$ interactions. The phenomenological $\Lambda N$ CSB interaction is introduced and the strength parameter is fitted to reproduce the experimental binding energy difference between the mirror hypernuclei $^{12}_\Lambda$B and $^{12}_\Lambda$C. This model is applied to calculate the CSB energy anomaly in mirror hypernuclei with the mass $A=7\sim48$. 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).