Study of the exotic three-body $N D^* \bar{K}^*$ system

Abstract

We have studied the $N D^* \bar{K}^*$ system in the framework of the Fixed Center Approximation to the Faddeev equations, taking the exotic $D^* \bar{K}^* $ system as the cluster and allowing the N to interact with the components of the cluster. Previous studies have determined the existence of three states of spin $0,1,2$ for the $D^* \bar{K}^* $ system, the one of spin $0$ associated to the $X_0(2900)$ state observed by the LHCb collaboration. From this perspective, we find five states with total spin $1/2,3/2,5/2$, with bindings from $10$ to $30$ MeV and widths below $60$ MeV, which could be well identified. We also discuss the decay channels of these states that should help in future experimental searches of these states.