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

In this paper, minimal coupling constants of meson-$\mathrm{\Delta }$ baryon and meson-nucleon to $\mathrm{\Delta }$ baryon transition have been investigated in the AdS/QCD soft-wall model at finite temperature limits. Initially, the right and left profile functions of $\mathrm{\Delta }$ 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 $g_{\rho \mathrm{\Delta }\mathrm{\Delta }}(T)$, $g_{a_1\mathrm{\Delta }\mathrm{\Delta }}(T)$ and $g_{\rho N\mathrm{\Delta }}(T)$. 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.