States of $\rho B^* \bar{B}^*$ with $J=3$ within the Fixed Center Approximation to Faddeev equations

TL;DR

This paper investigates a three-body system involving rho and B* mesons using Faddeev equations, predicting a new resonance state with specific quantum numbers near the B*_2(5747) energy.

Contribution

It introduces a novel three-body state with J=3 and I=1, generated through the fixed center approximation to Faddeev equations, based on unitarized two-body interactions.

Findings

Discovery of a new I(J^{PC})=1(3^{--}) state.

The new state is linked to the B*_2(5747) resonance.

The role of the B*_2(5747) resonance is crucial in the state formation.

Abstract

In this work we study the $\rho B^*\bar{B}^*$ three-body system solving the Faddeev equations in the fixed center approximation. We assume the $B^*\bar{B}^*$ system forming a cluster, and in terms of the two-body $\rho B^*$ unitarized scattering amplitudes in the local Hidden Gauge approach we find a new $I(J^{PC})=1(3^{--})$ state. The mass of the new state corresponds to a two particle invariant mass of the $\rho B^\ast$ system close to the resonant energy of the $B^\ast_2(5747)$, indicating that the role of this $J=2$ resonance is important in the dynamical generation of the new state.