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

Abstract

In this work, we study systems composed of a $\rho /\omega$ and $B^{\ast }$ 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 $B_2^{\ast }(5747)$. 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.