Analysis of the strong coupling form factors of $\Sigma_bNB$ and $\Sigma_c ND$ in QCD sum rules

TL;DR

This paper calculates the strong coupling form factors and constants for the vertices $oldsymbol{ ext{Σ}_b ext{N} ext{B}}$ and $oldsymbol{ ext{Σ}_c ext{N} ext{D}}$ using three-point QCD sum rules, considering vacuum condensates up to dimension 5.

Contribution

It provides the first calculation of these specific strong coupling constants using QCD sum rules with detailed consideration of vacuum condensates.

Findings

Coupling constant for $ ext{Σ}_b ext{N} ext{B}$ is $0.43 ext{ GeV}^{-1}$.

Coupling constant for $ ext{Σ}_c ext{N} ext{D}$ is $3.76 ext{ GeV}^{-1}$.

Form factors are successfully extrapolated into time-like regions.

Abstract

In this article, we study the strong interaction of the vertexes $\Sigma_bNB$ 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 $G_{\Sigma_bNB}=0.43\pm0.01GeV^{-1}$ and $G_{\Sigma_cND}=3.76\pm0.05GeV^{-1}$.