Dimer-dimer collisions at finite energies in two-component Fermi gases

Abstract

We introduce a major theoretical generalization of existing techniques for handling the three-body problem that accurately describes the interactions among four fermionic atoms. Application to a two-component Fermi gas accurately determines dimer-dimer scattering parameters at finite energies and can give deeper insight into the corresponding many-body phenomena. To account for finite temperature effects, we calculate the energy-dependent complex dimer-dimer scattering length, which includes contributions from elastic and inelastic collisions. Our results indicate that strong finite-energy effects and dimer dissociation are crucial for understanding the physics in the strongly interacting regime for typical experimental conditions. While our results for dimer-dimer relaxation are consistent with experiment, they confirm only partially a previously published theoretical result.

4.1 pages, 3 figures, revised text. Supplemental material provided: 2 pages, 2 figures

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• A general theoretical description of N-body recombination
• Correlated Gaussian Hyperspherical Method for Few-Body Systems
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• The Hyperspherical Four-Fermion Problem
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• Universality in fermionic dimer-dimer scattering
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• Coboson many-body formalism for atom-dimer scattering length
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