Theρ(ω)/B*(B) system and bound states in the unitary local Hidden Gauge approach

P Fernández-Soler ,Z J Sun ,J Nieves ,E Oset

doi:10.1051/epjconf/201613002003

Abstract

In this work, we study systems composed of a ρ/ω and B* meson pair. We find three bound states in isospin, spin-parity channels (1/2, 0+ ), (1/2, 1+ ) and (1/2, 2+ ). The state with J = 2 can be a good candidate for the B * 2 (5747). We also study the ρB system, and a bound state with mass 5728 MeV and width around 20 MeV is obtained, which can be identified with the B 1 (5721) resonance. In the case of I = 3/2, one obtains repulsion and thus, no exotic (molecular) mesons in this sector are generated in the approach.

Highlights

The present work is the extension to the b sector of the work of Ref. [1], for the ρ(ω)D∗ system
The interaction of the ρ, ω and D∗ mesons was studied using the Local Hidden Gauge (LHG) Lagrangians of Refs. [3], where the vector mesons are considered as gauge bosons of a hidden symmetry transforming inhomogeneously
The VI,J(s) are the tree level Feynman amplitudes associated to the possible ρ(ω)B∗ → ρ(ω)B∗ transitions, and the G(s) is the two-meson loop function, regularized with a sharp cut-off Λ

Summary

Introduction

The present work is the extension to the b sector of the work of Ref. [1], for the ρ(ω)D∗ system. The present work is the extension to the b sector of the work of Ref. The interaction of the ρ, ω and D∗ mesons was studied using the Local Hidden Gauge (LHG) Lagrangians of Refs. [3], where the vector mesons are considered as gauge bosons of a hidden symmetry transforming inhomogeneously. Choosing the appropriate gauge they can transform as in the non-linear realization of chiral symmetry. State to an already existing state, two more states were predicted and identified with other experimental states [4], the. It is remarkable that the D(2600), the first row, was measured after the theoretical prediction [5] It is remarkable that the D(2600), the first row in Table 1, was measured after the theoretical prediction [5]

Formalism

The Local Hidden Gauge amplitudes

Results