# A novel Dual Chiral Density Wave in nuclear matter based on a parity doublet structure

## TL;DR

This paper investigates a new phase of nuclear matter called sDCDW, which exhibits a non-zero average chiral condensate, using a hadronic model with parity doublet structure and numerical analysis of the phase diagram.

## Contribution

It introduces a novel sDCDW phase in nuclear matter, extending the traditional DCDW model by incorporating explicit chiral symmetry breaking effects.

## Key findings

- Identification of a new sDCDW phase with non-zero average condensate
- Dependence of phase structure on chiral invariant mass parameter
- Extension of DCDW model to include explicit symmetry breaking

## Abstract

We study the Dual Chiral Density Wave (DCDW) in nuclear matter using a hadronic model with the parity doublet structure. We first extend the ordinary DCDW ansatz so as to incorporate the effect of an explicit chiral symmetry breaking. Then via numerically evaluating and minimizing the effective potential, we determine the phase structure. We find, in addition to the ordinary DCDW phase where the space average of the chiral condensate vanishes, a new DCDW phase (sDCDW) with a nonvanishing space average depending on the value of the chiral invariant mass parameter.