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 (Q (Q) over bar) to intermediate open-flavor heavy-light mesons (Q (q) over bar, (Q) over barq). The resulting effective interaction is defined by overlap integrals of meson wave functions and (hq (q) over bar) coupling, where h is pi, rho, omega, phi, without fitting parameters. Equations for hadro-quarkonium amplitudes and resonance positions are written explicitly, and numerically calculated for the special case of pi Gamma(nS) (n = 1, 2, 3). It is also shown that the recently observed by Belle two peaks Z(b)(10610) and Z(b)(10650) are in agreement with the proposed theory. It is demonstrated, that theory predicts peaks at the BB*, B*B* thresholds in all available pi Gamma(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.