Temperature dependence of $\rho$ meson-nucleon coupling constant from the AdS/QCD soft-wall model

TL;DR

This paper studies how the rho meson-nucleon coupling constant varies with temperature using the soft-wall AdS/QCD model, revealing it vanishes near the phase transition temperature.

Contribution

It introduces a finite temperature extension of the soft-wall model to analyze the temperature dependence of the rho meson-nucleon coupling.

Findings

The coupling constant decreases with temperature and vanishes near the Hawking temperature.

Temperature affects both minimal- and magnetic-type interaction terms.

The model provides a quantitative description of medium effects on hadron interactions.

Abstract

We investigate the dependence of the $\rho$ meson-nucleon coupling constant on the temperature of the medium using the soft-wall model of AdS/QCD. The finite temperature profile functions for the vector and fermion fields are applied to the model having a thermal dilaton field. The interaction Lagrangian in the bulk between these fields is written as in zero temperature case and includes minimal- and magnetic-type interactions. The temperature dependence of the $g_{\rho NN}(T)$ coupling constant and its terms are plotted. We observe that the coupling constant and its separate terms become zero at the medium temperature near the Hawking temperature of phase transition.