Exotic mesons with hidden charm and bottom near thresholds

TL;DR

This paper investigates heavy meson molecules near thresholds, predicting bound and resonant states, including the Zb resonances, using a meson exchange model and numerical solutions of the Schrödinger equation.

Contribution

It introduces a comprehensive study of heavy meson molecules with quantum number analysis and predicts new bound and resonant states, including exotic and non-exotic configurations.

Findings

Identified B(*)barB(*) molecule states matching Zb(10610) and Zb(10650)

Predicted several other bound and resonant states in different channels

Found no exotic bound or resonant states with exotic quantum numbers

Abstract

We study heavy hadron spectroscopy near heavy meson thresholds. We employ heavy pseudoscalar meson P and heavy vector meson P* as effective degrees of freedom and consider meson exchange potentials between them. All possible composite states which can be constructed from the P and P* mesons are studied up to the total angular momentum J <= 2. We consider, as exotic states, isosinglet states with exotic J^{PC} quantum numbers and isotriplet states. We solve numerically the Schr\"odinger equation with channel-couplings for each state. We found B(*)barB(*) molecule states for I^G(J^{PC}) = 1^+(1^{+-}) correspond to the masses of twin resonances Zb(10610) and Zb(10650). We predict several possible B(*)barB(*) bound and/or resonant states in other channels. On the other hand, there are no B(*)barB(*) bound and/or resonant states whose quantum numbers are exotic.