Mass degeneracy of the heavy-light mesons with chiral partner structure in the half-skyrmion phase

TL;DR

This study investigates how the mass difference between chiral partner heavy-light mesons varies in nuclear matter, revealing mass degeneracy in the half-skyrmion phase where chiral symmetry is restored, thus serving as a phase probe.

Contribution

It introduces a novel approach using skyrmion crystal models to analyze heavy-light meson mass splitting across different nuclear matter phases.

Findings

Mass splitting decreases and vanishes in the half-skyrmion phase.

Mass degeneracy indicates chiral symmetry restoration.

Mass splitting can serve as a probe for nuclear matter phase transitions.

Abstract

We explore the mass splitting of the heavy-light mesons with chiral partner structure in nuclear matter. In our calculation, we employed the heavy hadron chiral perturbation theory with chiral partner structure and the nuclear matter is constructed by putting skyrmions from the standard Skyrme model onto the face-centered cubic crystal and regarding the skyrmion matter as nuclear matter. We find that, although the masses of the heavy-light mesons with chiral partner structure are splitted in the matter-free space and skyrmion phase, they are degenerated in the half-skyrmion phase in which the chiral symmetry is restored globally. This observation suggests that the magnitude of the mass splitting of the heavy-light mesons with chiral partner structure can be used as a probe of the phase structure of the nuclear matter.