Analysis of the strong vertices of ΣcΔD* and ΣbΔB* in QCD sum rules

In this work, we analyze the strong vertices Sigma(c)Delta D* and Sigma(b)Delta B* using the three-point QCD sum rules under the tensor structures i is an element of(rho tau alpha beta) p(alpha)p(beta), p(rho)p'(tau) and p(rho)p(tau). We firstly calculate the momentum dependent strong coupling constants g(Q(2)) by considering contributions of the perturbative part and the condensate terms <(q) over barq >, < g(s)(2)GG >, <(q) over barg(s)sigma Gq > and <(q) over barq >(2). By fitting these coupling constants into analytical functions and extrapolating them into time-like regions, we then obtain the on-shell values of strong coupling constants for these vertices. The results are g(1 Sigma c Delta D*) = 5.13(-0.49)(+0.39) GeV-1, g(2 Sigma c Delta D*) = -3.03(-0.35)(+0.27) GeV-2, g(3 Sigma c Delta D*) = 17.64(-1.95)(+1.51) GeV-2, g(1 Sigma b Delta B*) = 20.97(-2.39)(+2.15) GeV-1, g(2 Sigma b Delta B*) = -11.42(-1.28)(+1.17) GeV-2 and g(3 Sigma b Delta B*) = 24.87(-2.82)(+2.57) GeV-2. These strong coupling constants are important parameters which can help us to understand the strong decay behaviors of hadrons.