In this HADRON2001 contribution we summarize the status of our quark-model
calculations of hadron-hadron scattering amplitudes in annihilation-free
channels. The predictions are in reasonably good agreement with experimentally
known S-wave meson-meson and meson-baryon phase shifts, and there are very
recent indications that S-wave pi-omega scattering (extracted from FSIs in b_1
decay) may also be similar to our predictions. Finally, novel applications of
this formalism to the dissociation cross sections of charmonia on light hadrons
(relevant for QGP studies at RHIC) are discussed.Comment: 5 pages, 3 figures. Contribution to HADRON2001 (Protvino, Russia, 25
Aug. - 1 Sept. 2001