Analysis of $D_{s}D{K}^{\ast }$ and $D_s{D}^{\ast }{K}^{\ast }$ vertices and branching ratio of $B^{+}\to {K^{\ast }}^0{\pi }^{+}$

Abstract

In this paper, the strong form factors and coupling constants of $D_{s}D{K}^{\ast }$ and $D_s{D}^{\ast }{K}^{\ast }$ vertices are investigated within the three-point QCD sum rules method with and without the $S{U}_f(3)$ symmetry. In this calculation, the contributions of the quark-quark, quark-gluon, and gluon-gluon condensate corrections are considered. As an example of specific application of these coupling constants, the branching ratio of the hadronic decay $B^{+}\to {K^{\ast }}^0{\pi }^{+}$ is analyzed based on the one-particle-exchange which is one of the phenomenological models. In this model, $B$ decays into a $D_s{D}^{\ast }$ intermediate state, and then these two particles exchange a $D(D^{\ast })$ producing the final $K^{\ast }$ and $\pi$ mesons. In order to compute the effect of these interactions, the $D_{s}D{K}^{\ast }$ and $D_s{D}^{\ast }{K}^{\ast }$ form factors are needed.

Comments: 14 pages, 8 figures. arXiv admin note: substantial text overlap with arXiv:1509.01715