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Three-body recombination in Bose gases with large scattering length

P. F. Bedaque·E. Braaten·H. -W. Hammer
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Abstract

An effective field theory for the three-body system with large scattering length is applied to three-body recombination to a weakly-bound s-wave state in a Bose gas. Our model independent analysis demonstrates that the three-body recombination constant alpha is not universal, but can take any value between zero and 67.9 \hbar a^4/m, where a is the scattering length. Other low-energy three-body observables can be predicted in terms of a and alpha. Near a Feshbach resonance, alpha should oscillate between those limits as the magnetic field B approaches the point where a -> infinity. In any interval of B over which a increases by a factor of 22.7, alpha should have a zero.

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P. F. Bedaque, E. Braaten, H. -W. Hammer. 2000-05-01. Three-body recombination in Bose gases with large scattering length. https://doi.org/10.1103/physrevlett.85.908

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