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$_{h_{b}B_{c}^{PS}B_{c}^{V}}=8.80\pm 2.84 GeV^{-1}$and g$_{h_{b}B_{c}^{V} B_{c}^{PS}}=9.34\pm 3.12 GeV^{-1}$ in the $B_{c}^{PS}$ and $B_{c}^{V}$ off-shell state, respectively.
Highlights
In this work, we evaluate the strong coupling constant, ghb BcPS BcV within the framework of three-point QCD sum rules
We assume that hb is on-shell, and that it may decay to the intermediate BcV and BcPS mesons
The coupling constants help us to describe the intermediate state of two-body decay of the meson into the BcV and BcPS mesons when one of these mesons is off-shell
Summary
We evaluate the strong coupling constant, ghb BcPS BcV within the framework of three-point QCD sum rules. We consider contributions of both BcV and BcPS mesons as off-shell states. We assume that hb is on-shell, and that it may decay to the intermediate BcV and BcPS mesons. We use the same technique for the study of the couplings such as D∗ Ds K , Ds∗ D K [4,5], D0 Ds K , Ds0 D K [6], D∗ Dπ [7] , Ds D∗ K , Ds∗ D K [8], Bs0 B K , Bs1 B∗ K [9,10,11], Ds D K ∗ [12] and ηb B B∗ vertex from QCD sum rules [13], Bs∗ B K [14], B1s B∗ K [15,16], B∗ B∗ρ [15,16]. 2, we introduce the QCD sum-rule technique where analytical expressions of the ghb BcV BcPS strong coupling constant are obtained.
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