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The scale of low energy c-cbar and b-bbar cross sections on light hadrons isof great importance to searches for the quark gluon plasma using theheavy-quarkonium suppression signature. Unfortunately, little is known aboutthese near-threshold cross sections at present, and recent theoreticalestimates span many orders of magnitude. Here we use experimental data on thefour observed closed-flavor heavy quarkonium hadronic decays psi' -> pi piJ/psi, Upsilon' -> pi pi Upsilon, Upsilon'' -> pi pi Upsilon and Upsilon'' ->pi pi Upsilon', combined with simple models of the transition amplitudes, toestimate the pion scattering cross sections of c-cbar and b-bbar mesons nearthreshold. Specifically we consider the closed-flavor reactions pi J/psi -> pipsi', pi Upsilon -> pi Upsilon', pi Upsilon -> pi Upsilon'' and pi Upsilon' ->pi Upsilon'' and their time-reversed analogues. Our results may be useful inconstraining theoretical models of the strong interactions of heavy quarkonia,and can be systematically improved through future detailed studies of dipiondecays, notably psi' -> pi pi J/psi and Upsilon'' -> pi pi Upsilon.Comment: 6 pages, 6 figure

Determination of closed-flavour πJ/ψ and πϒ cross sections at low energies from dipion decays