Three fully polarized fermions close to a p-wave Feshbach resonance

Mattia Jona-Lasinio (1, 2) , Ludovic Pricoupenko (3) , Yvan Castin (1)

1 LKB (Lhomond) - Laboratoire Kastler Brossel
2 LENS - European Laboratory for Non-Linear Spectroscopy
3 LPTMC - Laboratoire de Physique Théorique de la Matière Condensée

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.

Mots clés: resonant interaction; fermions; p-wave

Domaines: Autre [cond-mat.other]

Mattia Jona-Lasinio, Ludovic Pricoupenko, Yvan Castin. Three fully polarized fermions close to a p-wave Feshbach resonance. Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2008, 77, pp.043611. ⟨hal-00166351v2⟩