Three fully polarized fermions close to a p-wave Feshbach resonance
arXiv:0708.0610 · doi:10.1103/PhysRevA.77.043611
Abstract
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.
31 pages, 12 figures
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Cited by in corpus (9)
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- Ground state of a tightly bound composite dimer immersed in a Fermi Sea
- Stability of the fermionic gases close to a p-wave Feshbach resonance
- Resonant Scattering of Ultracold Atoms in Low Dimensions
- Induced p-wave superfluidity in two dimensions: Brane world in cold atoms and nonrelativistic defect CFTs
- The Efimov effect in lithium 6
- Confinement-induced p-wave resonances from s-wave interactions
- Structure and consequences of vortex-core states in p-wave superfluids
- Ultracold atom-molecule collisions with fermionic atoms