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

Abstract

In this work we study the $\rho B^{\ast }{\bar{B}}^{\ast }$ three-body system solving the Faddeev equations in the fixed center approximation. We assume the $B^{\ast }{\bar{B}}^{\ast }$ system forming a cluster, and in terms of the two-body $\rho B^{\ast }$ 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 $B_2^{\ast }(5747)$, indicating that the role of this $J=2$ resonance is important in the dynamical generation of the new state.

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Cited by in corpus (10)

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• The $D^{\ast }{D}^{\ast }\bar{D}$ and $D^{\ast }{D}^{\ast }{\bar{D}}^{\ast }$ Three-Body Systems
• Prediction of possible exotic states in the $\eta \bar{K}{K}^{\ast }$ system
• Possible bound states with hidden bottom from ${\bar{K}}^{(\ast )}{B}^{(\ast )}{\bar{B}}^{(\ast )}$ systems
• Three-Body $J^P=0^{+},1^{+},2^{+}$ $B^{\ast }{B}^{\ast }\bar{K}$ Bound States
• Prediction of new states from $D^{(\ast )}{B}^{(\ast )}{\bar{B}}^{(\ast )}$ three-body interactions
• The ${\bar{D}}^{\ast }{\bar{D}}^{\ast }{\Sigma }_c$ Three-Body System
• Tri-meson state $\bar{\mathbf{B}}{\bar{\mathbf{B}}}^{\ast }{\bar{\mathbf{B}}}^{\ast }$