# $a_1$ meson-baryon coupling constants in the framework of soft-wall and hard-wall AdS/QCD models

## TL;DR

This paper computes the $a_1$ meson-nucleon coupling constants using soft-wall and hard-wall AdS/QCD models, finding results closer to experimental data than previous studies, and also calculates the $a_1 \, \Delta\Delta$ coupling in the hard-wall model.

## Contribution

It provides a detailed calculation of $a_1$ meson-baryon coupling constants within AdS/QCD models, improving agreement with experimental values and extending to $\, \Delta$-baryons.

## Key findings

- Numerical $g_{a_1 NN}$ values are closer to experimental data.
- Calculated $g_{a_1 \Delta \Delta}$ coupling in hard-wall model.
- AdS/QCD models effectively describe meson-baryon interactions.

## Abstract

We calculate the $a_1$ meson-nucleon coupling constant in the framework of soft-wall and hard-wall AdS/QCD models. In the bulk of AdS space were written bulk interaction Lagrangians for a minimal gauge coupling, a magnetic gauge coupling and a triple coupling. To use AdS/CFT correspondence and these bulk interaction Lagrangians we calculate the $a_1$ axial-vector meson-nucleon coupling constant in the boundary of AdS space within both models. We observe that the numerical values for the $g_{a_1 NN}$ coupling constant in the framework of both models are more close to the experimental value than results in other works. We also calculate the $g_{a_1 \Delta \Delta}$ axial-vector meson-$\Delta$-baryon coupling constant in the framework of hard-wall AdS/QCD model.