Baryonic Matter in the Hidden Local Symmetry Induced from Holographic QCD Models

TL;DR

This paper investigates baryonic matter using holographic QCD models, incorporating mesons via hidden local symmetry, and finds that certain terms influence phase transition points and meson interactions.

Contribution

It introduces a quantitative method to study skyrmion matter properties from holographic QCD, including the effects of hWZ terms and higher-order corrections.

Findings

hWZ terms cause repulsive interactions of the ω meson

self-consistent inclusion of O(p^4) terms raises the skyrmion phase transition density

quantitative predictions for skyrmion matter properties from holographic models

Abstract

Baryonic matter is studied in the Skyrme model by taking into account the roles of $\pi,$ $\rho$, and $\omega$ mesons through the hidden local symmetry up to $\mathcal{O}(p^4)$ terms including the homogeneous Wess-Zumino (hWZ) terms. Using the master formulas for the low energy constants derived from holographic QCD models the skyrmion matter properties can be quantitatively calculated with the input values of the pion decay constant $f_\pi$ and the vector meson mass $m_\rho^{}$. We find that the hWZ terms are responsible for the repulsive interactions of the $\omega$ meson. In addition, the self-consistently included $\mathcal{O}(p^4)$ terms with the hWZ terms is found to increase the half skyrmion phase transition point above the normal nucleon density.