a1a_{1} meson-nucleon coupling constant at finite temperature from the soft-wall AdS/QCD model

preprint2022arXivOpen access

Abstract

We study the temperature dependence of the a1a_1 meson-nucleon coupling constant in the framework of the soft-wall AdS/QCD model with thermal dilaton field. Profile functions for the axial-vector and fermion fields in the AdS-Schwarzschild metric are presented. It is constructed an interaction Lagrangian for the fermion-axial-vector-thermal dilaton fields system in the bulk of space-time. From this Lagrangian integral representation for the ga1NNg_{a_1NN} coupling constant is derived. The temperature dependence of this coupling constant is numerically analyzed.

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