Isospin symmetry of $\omega$ meson in the soft-wall model of holographic QCD at finite temperature

TL;DR

This study investigates the isospin symmetry of the omega meson at finite temperature using the soft-wall holographic QCD model, finding no violation of symmetry and a decrease in coupling constants with rising temperature.

Contribution

It introduces a finite-temperature holographic QCD approach to analyze omega meson couplings and confirms the preservation of isospin symmetry at finite temperature.

Findings

Isospin symmetry of omega meson is not violated at finite temperature.

Omega-baryon coupling constants decrease with temperature.

Coupling constants approach zero near the phase transition temperature.

Abstract

Coupling constants of $\rho$- and $\omega$- meson-nucleon are related with each other by isospin relation. In present work, it is aimed at studying the violation (if it exists) of isospin symmetry of the $\omega$-meson and to study the temperature dependence of $\omega$-meson-nucleon-delta and $\omega$-meson-delta coupling constants using the soft-wall model of holographic QCD. Firstly, the coupling constants are obtained by applying the profile functions of the vector and fermion fields to the model at a finite temperature. The interaction Lagrangian is written, including the minimum and magnetic interactions of vector and fermion fields which is defined in the bulk of the 5-dimensional AdS space-time. Secondly, the temperature dependence of the coupling constants $g_{\omega N N}(T)$, $g_{\omega \Delta \Delta}(T)$ and $g_{\omega N \Delta}(T)$ has been plotted. Comparing $g_{\omega N N}(T)$ with the coupling constant $g_{\rho NN}(T)$, it obtained that the isospin symmetry of the omega meson is not violated at the finite temperature. It is also observed that the coupling constants of the $\omega$ vector meson with baryons decreases with increasing temperature, and this coupling constant becomes zero near the Hawking phase transition temperature.