Abstract
We investigate the dependence of the $\rho$ meson-nucleon coupling constant on the temperature of the medium using the soft-wall model of AdS/QCD. The finite temperature profile functions for the vector and fermion fields are applied to the model having a thermal dilaton field. The interaction Lagrangian in the bulk between these fields is written as in zero temperature case and includes minimal- and magnetic-type interactions. The temperature dependence of the $g_{\rho NN}(T)$ coupling constant and its terms are plotted. We observe that the coupling constant and its separate terms become zero at the medium temperature near the Hawking temperature of phase transition.
Highlights
We investigate the dependence of the ρ meson-nucleon coupling constant on the temperature of the medium using the soft-wall model of AdS/QCD
We observe that the coupling constant and its separate terms become zero at the medium temperature near the Hawking temperature of the phase transition
The study of hadron quantities such as mass, decay and coupling constants, form factors, etc., at finite temperature is of great importance for the investigation of properties of hot hadronic matter obtained in the collisions of heavy ions or protons
Summary
The study of hadron quantities such as mass, decay and coupling constants, form factors, etc., at finite temperature is of great importance for the investigation of properties of hot hadronic matter obtained in the collisions of heavy ions or protons. After a correspondence was found in theory between five-dimensional gravity in anti–de Sitter spacetime and quantum field theory in four dimensions [1,2,3,4], several models and approaches were constructed in order to solve the problems in particle physics and to investigate the processes, which take place in hot hadronic matter and cannot be solved in perturbation theory. One such models is the so-called soft-wall model of the AdS/QCD correspondence [5,6,7,8].
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