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

Abstract

The strong coupling constants, $g_{D_{s}D{K}_0^{\ast }}$, $g_{B_{s}B{K}_0^{\ast }}$, $g_{D_s^{\ast }DK}$, $g_{B_s^{\ast }BK}$, $g_{D_s^{\ast }D{K}_1}$ and $g_{B_s^{\ast }B{K}_1}$, where $K_0^{\ast }$, $K$ 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 $K_0^{\ast }(K)(K_1)$ 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 $g_{D_s^{\ast }DK}$ as the only coupling constant among the considered vertices, previously calculated in the literature, is also made.

Comments: 20 Pages, 3 Figures and 8 Tables