Pion Phenomenology from the Thermal Soft-Wall Model of Holographic QCD

Abstract: We investigate the temperature dependence of the electromagnetic form factor of the pion, its generalized parton distribution $H_{\pi}(T)$, effective mass $m_{\pi}(T)$, radius $r_{\pi}(T)$, electromagnetic charge density $\rho_{\pi}(b, T)$, pion-nucleon coupling constant $g_{\pi NN}(T)$, and the pion-$\Delta$ coupling $g_{\pi \Delta \Delta}(T)$ within the thermal soft-wall model of AdS/QCD. The thermal pion form factor is extrapolated from the zero-temperature case, and based on this, the generalized parton distribution, charge density, and radius are studied at finite temperature. These quantities were analyzed using a thermal dilaton field in the five-dimensional action. Moreover, we determine the theoretical expression for the temperature-dependent pion-nucleon, as well as pion-$\Delta$ coupling, using thermal profile functions of nucleons, $\Delta$ baryons, and the pion. Our results show that the values of these quantities decrease with increasing temperature and vanish near the critical temperature. Our results reproduce expected features of low-energy hadron dynamics, thus validating the phenomenological utility of the thermal soft-wall model.