Meson-$\Delta$ and meson-nucleon-$\Delta$ transition coupling constants in the soft-wall model of holographic QCD at finite temperature

TL;DR

This study investigates how meson-$ Delta$ and meson-nucleon-$ Delta$ transition coupling constants vary with temperature using the soft-wall holographic QCD model, revealing they decrease and approach zero near the Hawking temperature.

Contribution

It introduces a finite-temperature analysis of meson-$ Delta$ and meson-nucleon-$ Delta$ couplings within the soft-wall AdS/QCD framework, including profile function calculations and temperature-dependent behavior.

Findings

Coupling constants decrease with increasing temperature.

Values approach zero near the Hawking temperature.

Provides temperature-dependent coupling graphs.

Abstract

In this paper, minimal coupling constants of meson-$\Delta$ baryon and meson-nucleon to $\Delta$ baryon transition have been investigated in the AdS/QCD soft-wall model at finite temperature limits. Initially, the right and left profile functions of $\Delta$ baryons have been calculated using the Rarita-Schwinger field in this model. After this, coupling constants have been written by taking into account the profile functions of thermal hadrons according to the zero-temperature case. Then, the temperature dependence graphs are plotted for strong couplings $g_{\rho \Delta \Delta}(T)$, $g_{a_{1} \Delta \Delta}(T)$ and $g_{\rho N \Delta}(T)$. As a result, it has been observed by an increase in the temperature, values of the minimal coupling constants decreased and approached zero nearby Hawking temperature.