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The elastic scattering amplitudes of indistinguishable, bosonic,strongly-polar molecules possess universal properties at the coldesttemperatures due to wave propagation in the long-range dipole-dipole field.Universal scattering cross sections and anisotropic threshold angulardistributions, independent of molecular species, result from careful tuning ofthe dipole moment with an applied electric field. Three distinct families ofthreshold resonances also occur for specific field strengths, and can be bothqualitatively and quantitatively predicted using elementary adiabatic andsemi-classical techniques. The temperatures and densities of heteronuclearmolecular gases required to observe these univeral characteristics arepredicted. PACS numbers: 34.50.Cx, 31.15.ap, 33.15.-e, 34.20.-b

Universal resonant ultracold molecular scattering