$D D A$, $D^{*}D^{*}A$ and $D^{*} D A$ vertices in the light-cone QCD and considering $B^0\to {K}_{1}^{+} \pi^-$ branching ratio

TL;DR

This paper calculates strong coupling constants of specific meson vertices using light-cone QCD sum rules and applies these to estimate the branching ratios of certain B meson decays, finding good agreement with experiments.

Contribution

It introduces new calculations of strong coupling constants for D and K1 meson vertices within the light-cone QCD framework and applies them to B decay predictions.

Findings

Calculated branching ratios match experimental data.

Provided new estimates for meson vertex coupling constants.

Enhanced understanding of non-leptonic B decays.

Abstract

We investigate the strong coupling constants of $D D A$, $D^{*}D^{*}A$ and $D^{*} D A$ 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 $D_s D K_1$, $D_s^* D K_1$ and $D_s^* D^* K_1$ 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.