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

preprint2011arXivOpen access

Abstract

The strong coupling constants, gDsDK0∗g_{D_{s}DK_0^*}, gBsBK0∗g_{B_{s}BK_0^*}, gDs∗DKg_{D^{\ast}_{s}D K}, gBs∗BKg_{B^{\ast}_{s}BK}, gDs∗DK1g_{D^{\ast}_{s}D K_1} and gBs∗BK1g_{B^{\ast}_{s}BK_1}, where K0∗K_0^*, KK and K1K_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)B(D) and K0∗(K)(K1)K_0^*(K)(K_1) mesons are off-shell are evaluated. In the case of K1K_1, which is either K1(1270)K_1(1270) or K1(1400)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 gDs∗DKg_{D^{\ast}_{s}D K} as the only coupling constant among the considered vertices, previously calculated in the literature, is also made.

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