Analysis of the strong coupling form factors of ${\Sigma }_{b}NB$ and ${\Sigma }_{c}ND$ in QCD sum rules

Abstract

In this article, we study the strong interaction of the vertexes ${\Sigma }_{b}NB$ and ${\Sigma }_{c}ND$ using the three-point QCD sum rules under two different dirac structures. Considering the contributions of the vacuum condensates up to dimension $5$ in the operation product expansion, the form factors of these vertexes are calculated. Then, we fit the form factors into analytical functions and extrapolate them into time-like regions, which giving the coupling constant. Our analysis indicates that the coupling constant for these two vertexes are $G_{{\Sigma }_{b}NB}=0.43\pm 0.01Ge{V}^{-1}$ and $G_{{\Sigma }_{c}ND}=3.76\pm 0.05Ge{V}^{-1}$.

Comments: 6 figures