Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2007-08-04
Physical Review A: Atomic, Molecular and Optical Physics 77 (2008) 043611
Physics
Condensed Matter
Other Condensed Matter
31 pages, 12 figures
Scientific paper
10.1103/PhysRevA.77.043611
We study the three-body problem for three atomic fermions, in the same spin state, experiencing a resonant interaction in the p-wave channel via a Feshbach resonance represented by a two-channel model. The rate of inelastic processes due to recombination to deeply bound dimers is then estimated from the three-body solution using a simple prescription. We obtain numerical and analytical predictions for most of the experimentally relevant quantities that can be extracted from the three-body solution: the existence of weakly bound trimers and their lifetime, the low-energy elastic and inelastic scattering properties of an atom on a weakly bound dimer (including the atom-dimer scattering length and scattering volume), and the recombination rates for three colliding atoms towards weakly bound and deeply bound dimers. The effect of "background" non-resonant interactions in the open channel of the two-channel model is also calculated and allows to determine which three-body quantities are `universal' and which on the contrary depend on the details of the model.
Castin Yvan
Jona-Lasinio Mattia
Pricoupenko Ludovic
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