  Dynamics of hadro-quarkonium system is formulated, based on the channel
coupling of a light hadron (h) and heavy quarkonium (Q\bar{Q}) to intermediate
open-flavor heavy-light mesons (Q\bar{q}, \bar{Q}q). The resulting effective
interaction is defined by overlap integrals of meson wavefunctions and (hq\bar
q) 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 Upsilon(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 Upsilon(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.
