Coupling Constant of a Vector Meson with Delta Baryons in the Soft-Wall Ads/QCD Model
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COUPLING CONSTANT OF A VECTOR MESON WITH DELTA BARYONS IN THE SOFT-WALL ADS/QCD MODEL N. J. Huseynova
UDC 530.145
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/CFɌ 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. Keywords: vector meson, delta baryon, interaction, soft-wall model.
INTRODUCTION Investigation of the coupling constants and formfactors of elementary particles is one of the most important areas of research of contemporary theoretical physics. Newly created AdS/QCD models are based on the principle of AdS/CFT compatibility (CFT stands for conformal field theory) and are viewed as being effective methods for calculating these quantities. This theory is called the holographic duality principle because string theory joins gauge theory in d-dimensional spacetime with the theory of gravitation in (d + 1)-dimensional spacetime. The most widely examined example of this duality is the principle of AdS/CFT compatibility, where AdS denotes the anti-de Sitter space and CFT denotes conformal field theory. This principle, introduced at the end of the last century, has been successfully applied in many areas of contemporary theoretical physics [1–5]. The principle of AdS/CFT compatibility with the help of gauge theory unites the maximum supersymmetric Yang–Mills theory with string theory aided by the theory of gravitation in the concrete AdS5 × S5 ten-dimensional spacetime. The duality principle is of special importance in the solution of problems of quantum chromodynamics, which is the gauge theory of strong interactions. Thus, the strong coupling constant in QCD acquires great importance for low exponents of fixed momentum. This, in turn, renders impossible the application of scattering matrix theory, based on perturbation theory, to the solution of phenomenological problems of strong interactions. Phenomenological problems of hadron physics include questions regarding the expected lifetime of particles, the stability of various decay and interaction processes, and also the role of formfactors. Since perturbation theory cannot be applied to these problems, these constants and formfactors are calculated theoretically u
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