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Three-body scattering hypervolumes of particles with short-range interactions
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The low-energy scattering of three bosons or distinguishable particles with short-range interactions is characterized by a fundamental parameter, the three-body scattering hypervolume. Its imaginary part is directly related to the three-body recombination rate in a quantum gas consisting of such particles. We derive an analytical formula of it for weak interactions, and perform its first numerical calculations for bosons with a variable nonzero-range potential. For attractive interactions, we identify several three-body resonances at which the three-body scattering hypervolume becomes divergent or anomalously large.
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Coupled-channels method for the scattering hypervolume in ultracold atomic three-body collisions
A coupled-channels method extracts the complex three-body scattering hypervolume for spin-polarized bosonic atoms from numerically exact two-body off-shell T-matrices derived from deep molecular potentials.
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