Hadron interaction with heavy quarkonia

Dynamics of hadro-quarkonium system is formulated, based on the channel coupling of a light hadron $(h)$ and heavy quarkonium (QQ̄) to intermediate open-flavor heavy-light mesons (Qq̄, Q̄q). The resulting effective interaction is defined by overlap integrals of meson wave functions and (hqq̄) coupling, where h is π, ρ, ω, φ, without fitting parameters. Equations for hadro-quarkonium amplitudes and resonance positions are written explicitly, and numerically calculated for the special case of πΥ(nS) ($n=1$, 2, 3). It is also shown that the recently observed by Belle two peaks Zb(10610) and Zb(10650) are in agreement with the proposed theory. It is demonstrated, that theory predicts peaks at the BB*, B*B* thresholds in all available πΥ(nS) channels. Analytic nature of these peaks is investigated, and shown to be due to a common multichannel resonance poles close to the BB*, B*B* thresholds. The general mechanism of these hadro-quarkonium resonances does not assume any molecular or four-quark (tetraquark) dynamics.