Abstract

We study the ρB * BN * system solving the Faddeev equations in the fixed center approximation. The B * BN * system will be considered forming a cluster, and using the two-body ρB * 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 ρB * system close to the resonant energy of the B * 2 (5747), indicating that the role of this J = 2 resonance is important in the dynamical generation of the new state.

Highlights

  • We study the interaction of the three body system composed of a ρ meson and a B∗B∗ pair, further details and references can be found in Ref. [1]

  • We can think that the combination of these two attractive subsystems would generate a new J = 3 bound state with our formalism

  • One is not taking the B∗B∗ interaction explicitly, but it is considered implicitly since it leads to the binding of the B∗B∗ system, and we can determine the wave function and the form factor from this information

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Summary

Introduction

We study the interaction of the three body system composed of a ρ meson and a B∗B∗ pair, further details and references can be found in Ref. [1]. We study the interaction of the three body system composed of a ρ meson and a B∗B∗ pair, further details and references can be found in Ref. The motivation for study such a system is that in previous works, the ρB∗ interaction was found very attractive, specially in J = 2 where it was found the most bound state [2]. The B∗B∗ interaction was studied in [3] and found degenerate states in all spins. We can think that the combination of these two attractive subsystems would generate a new J = 3 bound state with our formalism

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