$DDA$, $D^{\ast }{D}^{\ast }A$ and $D^{\ast }DA$ vertices in the light-cone QCD and considering $B^0\to K_1^{+}{\pi }^{-}$ branching ratio

Abstract

We investigate the strong coupling constants of $DDA$, $D^{\ast }{D}^{\ast }A$ and $D^{\ast }DA$ vertices in the framework of the light-cone QCD sum rules, where $A$ is an axial vector meson such as $a_1,b_1,K_{1A},K_{1B},K_1(1270)$ and $K_1(1400)$. Using the strong coupling constants of $D_{s}D{K}_1$, $D_s^{\ast }D{K}_1$ and $D_s^{\ast }{D}^{\ast }{K}_1$ vertices for $K_1(1270)$ and $K_1(1400)$ mesons, we evaluated the branching ratios of the non-leptonic decays $B^0\to K_1^{+}(1270,1400){\pi }^{-}$. Our results for the branching ratios of these decays are a good agreement with the experimental values.

Comments: 15 pages, 7 figures