English

Possible bound states with hidden bottom from $\bar{K}^{(*)}B^{(*)}\bar{B}^{(*)}$ systems

High Energy Physics - Phenomenology 2019-06-05 v2 Nuclear Theory

Abstract

We study the three-body systems of Kˉ()B()Bˉ()\bar{K}^{(*)}B^{(*)}\bar{B}^{(*)} by solving the Faddeev equations in the fixed-center approximation, where the light particle Kˉ()\bar{K}^{(*)} interacts with the heavy bound states of BBˉB\bar{B} (BBˉB^*\bar{B}^*) forming the clusters. In terms of the very attractive KˉB\bar{K}^*B and KˉB\bar{K}^*B^* subsystems, which are constrained by the observed Bs1(5830)B_{s1}(5830) and Bs2(5840)B_{s2}^*(5840) states in experiment, we find two deep bound states, containing the hidden-bottom components, with masses 11002±6311002\pm 63 MeV and 11078±5711078\pm 57 MeV in the KˉBBˉ\bar{K}^*B\bar{B} and KˉBBˉ\bar{K}^*B^*\bar{B}^* systems, respectively. The two corresponding states with higher masses of the above systems are also predicted. In addition, using the constrained two-body amplitudes of KˉB()\bar{K}B^{(*)} and KˉBˉ()\bar{K}\bar{B}^{(*)} via the hidden gauge symmetry in the heavy-quark sector, we also find two three-body KˉBBˉ\bar{K}B\bar{B} and KˉBBˉ\bar{K}B^{*}\bar{B}^* bound states.

Keywords

Cite

@article{arxiv.1812.09931,
  title  = {Possible bound states with hidden bottom from $\bar{K}^{(*)}B^{(*)}\bar{B}^{(*)}$ systems},
  author = {Xiu-Lei Ren and Zhi-Feng Sun},
  journal= {arXiv preprint arXiv:1812.09931},
  year   = {2019}
}

Comments

Version to be published in Phys. Rev. D