$g_{D^{\ast}_{s}D K^{\ast}(892)}$ and $g_{B^{\ast}_{s}B K^{\ast}(892)}$ coupling constants in QCD sum rules

TL;DR

This paper calculates the coupling constants involving $D^{ ext{star}}_s$, $D$, $K^{ ext{star}}(892)$, $B^{ ext{star}}_s$, and $B$ mesons using three-point QCD sum rules, providing numerical estimates without radiative corrections.

Contribution

The study introduces a calculation of specific strong coupling constants in QCD sum rules considering off-shell meson states, expanding the understanding of meson interactions.

Findings

Calculated $g_{D^{ ext{star}}_s D K^{ ext{star}}(892)}$ as 4.31 ± 1.42 GeV^{-1}

Calculated $g_{B^{ ext{star}}_s B K^{ ext{star}}(892)}$ as 3.24 ± 1.08 GeV^{-1}

Results contribute to meson interaction models in QCD

Abstract

The coupling constants $g_{D^{\ast}_{s}D K^{\ast}(892)}$ and $g_{B^{\ast}_{s}B K^{\ast}(892)}$ are calculated in the framework of three-point QCD sum rules. The correlation functions responsible for these coupling constants are evaluated considering contributions of both $D(B)$ and $K^*(892)$ mesons as off-shell states, but in the absence of radiative corrections. The results, $g_{D^{\ast}_{s}D K^{\ast}(892)}=(4.31\pm1.42) GeV^{-1}$ and $g_{B^{\ast}_{s}B K^{\ast}(892)}=(3.24\pm1.08) GeV^{-1}$ are obtained for the considered strong coupling constants.