Strong coupling constant of vector bottomonium to the pseudoscalar and vector $B_c$ mesons via QCD sum rules

Abstract

The strong coupling constant $g_{{\rm Y}{B}_c^{ps}{B}_c^V}$ is evaluated using the three-point QCD sum rules. The correlation functions used to calculate these strong coupling constants contain contributions of both $B_c^V$ and $B_c^{ps}$ mesons as off-shell states with contributions of two gluon condensates as a radiative corrections. The results, $g_{{\rm Y}{B}_c^V{B}_c^{PS}}=1.67\pm 0.52Ge{V}^{-1}$ for $B_c^{Ps}$ off-shell and $g_{{\rm Y}{B}_c^{PS}{B}_c^V}=(0.87\pm 0.25)Ge{V}^{-1}$ for $B_c^V$ off-shell are obtained for the relevant strong coupling constants

Comments: The new version will be submitted in the near future