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.

arXiv comment20 Pages, 3 Figures and 8 Tables

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• Strong decay of the heavy tensor mesons with QCD sum rules
• $B^{\ast }{B}^{\ast }\rho$ vertex from QCD sum rules
• Analysis of hadronic coupling constants $G_{B_c^{\ast }{B}_c{\rm Y}}$, $G_{B_c^{\ast }{B}_{c}J/\psi }$, $G_{B_c{B}_c{\rm Y}}$ and $G_{B_c{B}_{c}J/\psi }$ with QCD sum rules
• $B_{s1}^{\ast }{B}^{\ast }K$ form factor from QCD sum rules
• The strong vertices of charmed mesons $D$, $D^{\ast }$ and charmonia $J/\psi$, ${\eta }_c$
• $B_s{B}^{\ast }K$ and $B_{s}B{K}^{\ast }$ vertices using QCD sum rules
• The strong vertices of bottom mesons $B$, $B^{\ast }$ and bottomonia ${\rm Y}$, ${\eta }_b$
• Analysis of the electromagnetic form factors and the radiative decays of the vector heavy-light mesons
• Strong coupling constant of vector bottomonium to the pseudoscalar and vector $B_c$ mesons via QCD sum rules
• Evaluation of the $B_c^{+}\to D^0{K}^{+}$ decay by the factorization approaches and applying the effects of the final state interaction
• Strong coupling constants of charmed and bottom mesons with light vector mesons in QCD sum rules