Coupling Constant of a Vector Meson with Delta Baryons in the Soft-Wall Ads/QCD Model

Abstract

The coupling constant of a vector meson with delta baryons in the AdS/QCD model is investigated. A pseudoscalar field is introduced inside the anti-de Sitter (AdS) space to break the chiral symmetry together with gauge fields with left and right chiral symmetries and the Rarita–Schwinger fields. The vector field is determined with the help of the gauge fields with left and right chiral symmetries, and profile functions for all these fields are introduced inside the AdS space. In addition, a minimal gauge and magnetic gauge Lagrangian interaction are introduced interior to the AdS space. With the help of the Lagrangian interactions and in accord with the AdS/CFТ model, the coupling constant of the vector meson with the delta baryons has been obtained in the form of an integral over the additional dimension. With the help of the software package Mathematica 7, the numerical values of the coupling constant of the vector meson with the delta baryons in the soft-wall AdS/QCD model have been determined.