Strong coupling constants of bottom and charmed mesons with scalar, pseudoscalar and axial vector kaons

TL;DR

This paper calculates the strong coupling constants of bottom and charmed mesons with various kaon states using three-point QCD sum rules, including off-shell effects and mixing of $K_1$ states.

Contribution

It provides new calculations of multiple strong coupling constants involving bottom and charmed mesons and kaons, including off-shell effects and $K_1$ mixing, extending previous single-constant studies.

Findings

Calculated several strong coupling constants with QCD sum rules.

Included off-shell effects for mesons in the vertices.

Compared results with existing predictions for validation.

Abstract

The strong coupling constants, $g_{D_{s}DK_0^*}$, $g_{B_{s}BK_0^*}$, $g_{D^{\ast}_{s}D K}$, $g_{B^{\ast}_{s}BK}$, $g_{D^{\ast}_{s}D K_1}$ and $g_{B^{\ast}_{s}BK_1}$, where $K_0^*$, $K$ and $K_1$ are scalar, pseudoscalar and axial vector kaon mesons, respectively are calculated in the framework of three-point QCD sum rules. In particular, the correlation functions of the considered vertices when both $B(D)$ and $K_0^*(K)(K_1)$ mesons are off-shell are evaluated. In the case of $K_1$, which is either $K_1(1270)$ or $K_1(1400)$, the mixing between these two states are also taken into account. A comparison of the obtained result with the existing prediction on $g_{D^{\ast}_{s}D K}$ as the only coupling constant among the considered vertices, previously calculated in the literature, is also made.