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

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arxiv 1002.4990 v2 pith:FGCGOJIN submitted 2010-02-26 hep-ph

classification hep-ph
keywords statecouplingwidthevaluatemassmesonobtainedrules
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We evaluate the mass of the $B_{s0}$ scalar meson and the coupling constant in the $B_{s0} B K$ 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 $g_{B_{s0}B K}$ 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.

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  1. Analysis of the strong vertices $\Lambda_cD^{(*)}N^*(1535)$ and $\Lambda_bB^{(*)}N^*(1535)$ in QCD sum rules

    hep-ph 2025-06 conditional novelty 5.0 of 10

    A QCD sum rule analysis produces masses, pole residues and six on-shell strong coupling constants for the ΛcD(*)N*(1535) and ΛbB(*)N*(1535) vertices.

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