$\pi$-$\eta$ mixing and charge symmetry violating NN potential in matter

TL;DR

This paper develops a density-dependent charge symmetry violating nucleon-nucleon potential based on $\

Contribution

It introduces a novel density-dependent CSV potential from $\

Findings

Density-dependent CSV potential is significantly larger than vacuum CSV potential.

The potential is driven by neutron-proton mass difference and asymmetric density distribution.

Off-shell corrections enhance the $\

Abstract

We construct density dependent Class $III$ charge symmetry violating (CSV) potential due to mixing of $\pi$-$\eta$ meson with off-shell corrections. The density dependence enters through the non-vanishing $\pi$-$\eta$ mixing driven by both the neutron-proton mass difference and their asymmetric density distribution. The contribution of density dependent CSV potential is found to be appreciably larger than the contribution of vacuum CSV potential.