Realistic calculations for $c$-coefficients of the isobaric mass multiplet equation in $1p0f$ shell nuclei

TL;DR

This paper calculates the $c$-coefficients of the isobaric mass multiplet equation in $1p0f$ shell nuclei using three realistic nucleon-nucleon interactions, revealing their dependence on charge-symmetry breaking and discrepancies with experimental data.

Contribution

It provides a detailed analysis of the $c$-coefficients using different realistic interactions, highlighting the impact of charge-symmetry breaking and comparing with experimental results.

Findings

All three interactions show a dependence on charge-symmetry breaking.

There is significant disagreement in the CSB part among the interactions.

The calculated CSB contributions are larger than experimental values.

Abstract

We present calculations for the $c$-coefficients of the isobaric mass multiplet equation for nuclei from $A=42$ to $A=54$ based on input from three realistic nucleon-nucleon interactions. We demonstrate that there is a clear dependence on the short-ranged charge-symmetry breaking (CSB) part of the strong interaction and that there is significant disagreement in the CSB part between the commonly used CD-Bonn, N$^3$LO, and Argonne V18 nucleon-nucleon interactions. In addition, we show that all three interactions give a CSB contribution to the $c$-coefficient that is too large when compared to experiment.