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

TL;DR

This paper investigates a three-body exotic system involving nucleons and vector mesons using the Fixed Center Approximation, predicting five new states with specific spins, binding energies, and decay channels to guide future experiments.

Contribution

It introduces a novel three-body analysis of the $N D^* ar{K}^*$ system, predicting multiple new states with specific properties, expanding understanding of exotic hadronic states.

Findings

Five new states with spins 1/2, 3/2, 5/2 predicted

Binding energies range from 10 to 30 MeV

Widths are below 60 MeV

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.