# Analysis of the strong vertexes of $\Sigma_c^{*} ND$ and $\Sigma_b^{*}NB$ in QCD sum rules

## TL;DR

This paper uses QCD sum rules to analyze the strong interactions at specific baryon-meson vertices, calculating form factors and coupling constants for $ ext{Sigma}_c^* ND$ and $ ext{Sigma}_b^* NB$ with consideration of perturbative and condensate contributions.

## Contribution

It provides the first calculation of the strong coupling constants for these vertices using three-point QCD sum rules including condensate effects.

## Key findings

- Calculated $g_{ ext{Sigma}_c^* ND}$ and $g_{ ext{Sigma}_b^* NB}$ with uncertainties.
- Included condensate contributions in the sum rule analysis.
- Fitted form factors into analytical functions for coupling constants.

## Abstract

In this article, we analyze the strong vertexes $\Sigma_{c}^{*}ND$ and $\Sigma_{b}^{*}NB$ using the three-point QCD sum rules under the Dirac structure of $q\!\!\!/p\!\!\!/\gamma_{\mu}$. We perform our analysis by considering the contributions of the perturbative part and the condensate terms of $<\overline{q}q>$ and $<\frac{\alpha_{s}}{\pi}GG>$. After the form factors are calculated, they are then fitted into analytical functions which are used to get the strong coupling constants for these two vertexes. The final results are $g_{\Sigma_{c}^{*}ND}=7.19^{+8.49}_{-3.11}\pm1.76$ and $g_{\Sigma_{b}^{*}NB}=10.54^{+15.59}_{-5.23}\pm1.82$.