Strong coupling constant of h${}_b$ vector to the pseudoscalar and vector $B_c$ mesons in QCD sum rules

Abstract

The strong coupling constant g${}_{h_b{B}_c^{PS}{B}_c^V}$ is calculated using the three-point QCD sum rules method. We use correlation functions to obtain these strong coupling constants with contributions of both B${}_c^{PS}$ and B${}_c^V$mesons as off-shell states. The contributions of two gluon condensates as a radiative correction are considered. The results show that g${}_{h_b{B}_c^{PS}{B}_c^V}=8.80\pm 2.84Ge{V}^{-1}$and g${}_{h_b{B}_c^V{B}_c^{PS}}=9.34\pm 3.12Ge{V}^{-1}$ in the $B_c^{PS}$ and $B_c^V$ off-shell state, respectively.

9 pages, 4 figures

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