Interactions of quarkonium at low energies

Abstract

We present two examples of the short-distance QCD calculations for the quarkonium (\Phi) interactions; 1) \pi \Phi elastic and \pi \Phi -> \pi \Phi' cross sections, and 2) the potential between two \Phi's. The former is relevant for the \Phi suppression in heavy ion collisions; we find that the corresponding cross sections are very small. For the latter we derive the sum rule which relates the strength of the potential to the energy density of the QCD vacuum. The key starting point in both cases is that the leading operator in the operator product expansion (OPE) for the low--energy scattering amplitude is the trace of the QCD stress tensor whose matrix elements are unambiguously fixed by the low energy theorem. The resonances in the two-pion scalar channel are taken into account as a formfactor.