Inhomogeneous quark condensate in compressed skyrmion matter

TL;DR

This paper investigates how the local structure of the inhomogeneous quark condensate evolves with density in skyrmion matter, revealing persistent inhomogeneity up to four times nuclear density and exploring meson interactions.

Contribution

It introduces a skyrmion crystal model with hidden local symmetry and a dilaton to study inhomogeneous quark condensates in dense matter, highlighting the role of mesons.

Findings

Inhomogeneous quark condensate persists up to ~4 times nuclear density.

The approach incorporates vector mesons and a scalar dilaton, revealing their effects.

Differences from chiral density wave results are discussed.

Abstract

The inhomogeneous quark condensate, responsible for dynamical chiral symmetry breaking in cold nuclear matter, is studied by putting skyrmions onto the face-centered cubic crystal and treating the skyrmion matter as nuclear matter. By varying the crystal size, we explore the effect of density on the local structure of the quark-antiquark condensate. By endowing the light vector mesons $\rho$ and $\omega$ with hidden local symmetry and incorporating a scalar meson as a dilaton of spontaneously broken scale symmetry, we uncover the intricate interplay of heavy mesons in the local structure of the quark condensate in dense baryonic matter described in terms of skyrmion crystal. It is found that the inhomogeneous quark density persists to as high a density as $\sim 4$ times nuclear matter density. The difference between the result from the present approach and that from the chiral density wave ansatz is also discussed.