We study the three-body systems of $\bar{ K}^{ (*)}B^{ (*)}\bar{ B}^{ (*)}$ by solving the Faddeev equations in the fixed-center approximation, where the light particle $\bar{ K}^{ (*)}$ interacts with the heavy bound states of $B\bar{ B}$ ($B^*\bar{ B}^*$) forming the clusters. In terms of the very attractive $\bar{ K}^*B$ and $\bar{ K}^*B^*$ subsystems, which are constrained by the observed $B_{ s1}(5830)$ and $B_{ s2}^*(5840)$ 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 $\bar{ K}^*B\bar{ B}$ and $\bar{ K}^*B^*\bar{ B}^*$ 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 $\bar{ K}B^{ (*)}$ and $\bar{ K}\bar{ B}^{ (*)}$ via the hidden gauge symmetry in the heavy-quark sector, we also find two three-body $\bar{ K}B\bar{ B}$ and $\bar{ K}B^{ *}\bar{ B}^*$ bound states.
Categories: hep-ph nucl-th