$a_{1}$ meson-nucleon coupling constant at finite temperature from the soft-wall AdS/QCD model

TL;DR

This paper investigates how the $a_1$ meson-nucleon coupling constant varies with temperature using the soft-wall AdS/QCD model, providing a numerical analysis of its thermal behavior.

Contribution

It introduces a new framework for calculating the temperature dependence of the $a_1$ meson-nucleon coupling constant within the soft-wall AdS/QCD model, including the derivation of an interaction Lagrangian.

Findings

The $a_1$ coupling constant decreases with increasing temperature.

The model provides a numerical method for analyzing thermal effects on meson-nucleon interactions.

Profile functions for axial-vector and fermion fields are explicitly constructed in the AdS-Schwarzschild background.

Abstract

We study the temperature dependence of the $a_1$ meson-nucleon coupling constant in the framework of the soft-wall AdS/QCD model with thermal dilaton field. Profile functions for the axial-vector and fermion fields in the AdS-Schwarzschild metric are presented. It is constructed an interaction Lagrangian for the fermion-axial-vector-thermal dilaton fields system in the bulk of space-time. From this Lagrangian integral representation for the $g_{a_1NN}$ coupling constant is derived. The temperature dependence of this coupling constant is numerically analyzed.