Abstract
We investigate three-body recombination rates into deep dimers in cold atomic gases with large scattering length within hyper-spherical adiabatic zero-range approach. We derive closed analytic expressions for the rates for one- and two-species gases. Although the deep dimers are beyond the zero-range theory the latter can still describe the recombination into deep dimers by use of one additional short-range absorption parameter. The recombination rate, as function of the scattering length, retains the known universal behavior—the fourth power trend with characteristic log-periodic peaks—however increasing the short-range absorption broadens the peaks until they are eventually completely smeared out. Increasing the heavy-to-light mass ratio in a two-species system with two identical bosons and a third particle decreases the distance between the peaks and increases the overall scale of the recombination rate.
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Fedorov, D.V., Mikkelsen, M., Jensen, A.S. et al. Analytic Expression for Three-Body Recombination Rates into Deep Dimers. Few-Body Syst 56, 889–896 (2015). https://doi.org/10.1007/s00601-015-1005-9
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DOI: https://doi.org/10.1007/s00601-015-1005-9