Modeling interactions for resonant p-wave scattering

Details Modeling interactions for resonant p-wave scattering Modeling interactions for resonant p-wave scattering

2005-05-18

arxiv.org/abs/cond-mat/0505448v3

Physical Review Letters 96 (2006) 050401

Physics

Condensed Matter

Other Condensed Matter

4 pages

Scientific paper

10.1103/PhysRevLett.96.050401

In view of recent experiments on ultra-cold polarized fermions, the zero-range potential approach is generalized to situations where two-body scattering is resonant in the p-wave channel. We introduce a modified scalar product which reveals a deep relation between the geometry of the Hilbert space and the interaction. This formulation is used to obtain a simple interpretation for the transfer rates between atomic and molecular states within a two branches picture of the many-body system close to resonance. At resonance, the energy of the dilute gas is found to vary linearly with density.

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