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

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.