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The low-energy scattering of three bosons or distinguishable particles withshort-range interactions is characterized by a fundamental parameter, thethree-body scattering hypervolume. Its imaginary part is directly related tothe three-body recombination rate in a quantum gas consisting of suchparticles. We derive an analytical formula of it for weak interactions, andperform its first numerical calculations for bosons with a variablenonzero-range potential. For attractive interactions, we identify severalthree-body resonances at which the three-body scattering hypervolume becomesdivergent or anomalously large.

Three-body scattering hypervolumes of particles with short-range interactions