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

Abstract

We study the three-body systems of ${\bar{K}}^{(\ast )}{B}^{(\ast )}{\bar{B}}^{(\ast )}$ by solving the Faddeev equations in the fixed-center approximation, where the light particle ${\bar{K}}^{(\ast )}$ interacts with the heavy bound states of $B\bar{B}$ ($B^{\ast }{\bar{B}}^{\ast }$) forming the clusters. In terms of the very attractive ${\bar{K}}^{\ast }B$ and ${\bar{K}}^{\ast }{B}^{\ast }$ subsystems, which are constrained by the observed $B_{s1}(5830)$ and $B_{s2}^{\ast }(5840)$ states in experiment, we find two deep bound states, containing the hidden-bottom components, with masses $11002\pm 63$ MeV and $11078\pm 57$ MeV in the ${\bar{K}}^{\ast }B\bar{B}$ and ${\bar{K}}^{\ast }{B}^{\ast }{\bar{B}}^{\ast }$ 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 $\bar{K}{B}^{(\ast )}$ and $\bar{K}{\bar{B}}^{(\ast )}$ via the hidden gauge symmetry in the heavy-quark sector, we also find two three-body $\bar{K}B\bar{B}$ and $\bar{K}{B}^{\ast }{\bar{B}}^{\ast }$ bound states.

Comments: Version to be published in Phys. Rev. D