Predictions of super-exotic heavy mesons from $K^{\ast }{B}^{\ast }{B}^{\ast }$ interactions

Abstract

We make a theoretical study of the three-body system composed of ${\bar{K}}^{\ast }{\bar{B}}^{\ast }{\bar{B}}^{\ast }$ to look for possible bound states, which could be associated to mesonic resonances of very exotic nature, containing open strange and double-bottom flavours. The three-body interaction is evaluated by using the fixed center approach to the Faddeev equations where the ${\bar{B}}^{\ast }{\bar{B}}^{\ast }$ is bound forming an $I(J^P)=0(1^{+})$ state, as it was found in previous works, and the third particle, the ${\bar{B}}^{\ast }$, of much smaller mass, interacts with the components of the cluster. We obtain bound states for all the channels considered: spin $J=0$, 1 and 2, all of them with isospin $I=1/2$ and negative parity.

9 pages, 5 figures

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• Correlation function for the $n{\bar{D}}_{s0}^{\ast }(2317)$ interaction and the issue of elastic unitarity