Three-body recombination of ultra-cold atoms to a weakly bound $s$ level

Details Three-body recombination of ultra-cold atoms to a weakly bound $s$ level Three-body recombination of ultra-cold atoms to a weakly bound $s$ level

1996-05-24

arxiv.org/abs/atom-ph/9605009v1

Physics

Atomic Physics

10 pages, 3 Postscript figures

Scientific paper

10.1103/PhysRevLett.77.2921

We discuss three-body recombination of ultra-cold atoms to a weakly bound $s$ level. In this case, characterized by large and positive scattering length $a$ for pair interaction, we find a repulsive effective potential for three-body collisions, which strongly reduces the recombination probability and makes simple Jastrow-like approaches absolutely inadequate. In the zero temperature limit we obtain a universal relation, independent of the detailed shape of the interaction potential, for the (event) rate constant of three-body recombination: $\alpha_{\rm rec}=3.9\hbar a^4/m$, where $m$ is the atom mass.

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