The B_{s0} meson and the B_{s0}B K coupling from QCD sum rules

Abstract

We evaluate the mass of the $B_{s0}$ scalar meson and the coupling constant in the $B_{s0}BK$ vertex in the framework of QCD sum rules. We consider the $B_{s0}$ as a tetraquark state to evaluate its mass. We get $m_{B_s0}=(6.04\pm 0.08) \GeV$, which is bigger than predictions supposing it as a $b\bar{s}$ state or a $B\bar{K}$ bound state with $J^P=0^{+}$. To evaluate the $g_{B_{s0}BK}$ coupling we use the three point correlation functions of the vertex, considering $B_{s0}$ as a normal $b\bar{s}$ state. The obtained coupling constant is: $g_{B_{s0} B K} =(16.3 \pm 3.2) \GeV$. This number is in agreement with light-cone QCD sum rules calculation. We have also compared the decay width of the $\BS\to BK$ process considering the $\BS$ to be a $b\bar{s}$ state and a $BK$ molecular state. The width obtained for the $BK$ molecular state is twice as big as the width obtained for the $b\bar{s}$ state. Therefore, we conclude that with the knowledge of the mass and the decay width of the $\BS$ meson, one can discriminate between the different theoretical proposals for its structure.

revised version to appear in Phys. Rev. D

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• Strong coupling constants of bottom and charmed mesons with scalar, pseudoscalar and axial vector kaons
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• Analysis of the strong vertices of ${\Sigma }_{c}N{D}^{\ast }$ and ${\Sigma }_{b}N{B}^{\ast }$ in QCD sum rules
• The strong vertices of bottom mesons $B$, $B^{\ast }$ and bottomonia ${\rm Y}$, ${\eta }_b$
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• Strong coupling constants of charmed and bottom mesons with light vector mesons in QCD sum rules