Analysis of the strong vertexes of ${\Sigma }_c^{\ast }ND$ and ${\Sigma }_b^{\ast }NB$ in QCD sum rules

Abstract

In this article, we analyze the strong vertexes ${\Sigma }_c^{\ast }ND$ and ${\Sigma }_b^{\ast }NB$ 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 $g_{{\Sigma }_c^{\ast }ND}=7.19_{-3.11}^{+8.49}\pm 1.76$ and $g_{{\Sigma }_b^{\ast }NB}=10.54_{-5.23}^{+15.59}\pm 1.82$.

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