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

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 $g_{\Sigma_{b}^{*}NB}=10.54^{+15.59}_{-5.23}\pm1.82$.