Novel dual chiral density wave in nuclear matter based on a parity doublet structure

Yusuke Takeda,Hiroaki Abuki,Masayasu Harada

doi:10.1103/physrevd.97.094032

Yusuke Takeda, Hiroaki Abuki + Show 1 more

Open Access

https://doi.org/10.1103/physrevd.97.094032

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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 with a nonvanishing space average depending on the value of the chiral invariant mass parameter.

Highlights

In the last few decades, the phase structure of QCD has been one of the main concerns regarding the physics of strong interaction
We study the dual chiral density wave (DCDW) in nuclear matter using a hadronic model with the parity doublet structure
In addition to the ordinary DCDW phase where the space average of the chiral condensate vanishes, a new DCDW phase with a nonvanishing space average depending on the value of the chiral invariant mass parameter

Summary

INTRODUCTION

In the last few decades, the phase structure of QCD has been one of the main concerns regarding the physics of strong interaction. With the six-point scalar interaction included, the model is known to successfully reproduce bulk properties of normal nuclear matter for a wide range of chiral invariant mass [20]. We will show later that the normal nuclear matter exists only as a metastable state as another type of DCDW phase dominates over it once the chiral invariant mass becomes smaller than some critical value, m0 ≲ 800 MeV

PHASE STRUCTURE

A SUMMARY AND DISCUSSIONS