English

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

High Energy Physics - Phenomenology 2015-03-13 v2

Abstract

We evaluate the mass of the Bs0B_{s0} scalar meson and the coupling constant in the Bs0BKB_{s0} B K vertex in the framework of QCD sum rules. We consider the Bs0B_{s0} as a tetraquark state to evaluate its mass. We get mBs0=(6.04±0.08)\GeVm_{B_s0}=(6.04\pm 0.08) \GeV, which is bigger than predictions supposing it as a bsˉb\bar{s} state or a BKˉB\bar{K} bound state with JP=0+J^{P}=0^+. To evaluate the gBs0BKg_{B_{s0}B K} coupling we use the three point correlation functions of the vertex, considering Bs0 B_{s0} as a normal bsˉb\bar{s} state. The obtained coupling constant is: gBs0BK=(16.3±3.2)\GeVg_{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 \BSBK\BS\to BK process considering the \BS\BS to be a bsˉb\bar{s} state and a BKBK molecular state. The width obtained for the BKBK molecular state is twice as big as the width obtained for the bsˉb\bar{s} state. Therefore, we conclude that with the knowledge of the mass and the decay width of the \BS\BS meson, one can discriminate between the different theoretical proposals for its structure.

Keywords

Cite

@article{arxiv.1002.4990,
  title  = {The B_{s0} meson and the B_{s0}B K coupling from QCD sum rules},
  author = {M. E. Bracco and M. Nielsen},
  journal= {arXiv preprint arXiv:1002.4990},
  year   = {2015}
}

Comments

revised version to appear in Phys. Rev. D