The $\rho(\omega)B^*(B)$ interaction and states of $J=0,1,2$

TL;DR

This paper investigates meson-meson interactions involving $ ho/\omega$ and $B^*$ mesons, predicting bound states that correspond to known resonances and exploring the absence of exotic states in certain isospin sectors.

Contribution

The study predicts new bound states in meson systems and identifies their possible correspondence with known resonances, advancing understanding of meson interactions.

Findings

Identified three bound states with specific quantum numbers.

Predicted a state matching the $B_2^*(5747)$ resonance.

Found no exotic mesons in the $I=3/2$ sector due to repulsion.

Abstract

In this work, we study systems composed of a $\rho/\omega$ 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 $\rho B$ 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.