Stability of trapped ultracold Fermi gases using effective s- and p-wave contact interactions

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Abstract
The stability of trapped dilute Fermi gases against collapse towards large densities is studied. A Hermitian effective contact interaction for all partial waves is derived, which is particularly suited for a mean-field description of these systems. Including the s- and p-wave parts, explicit stability conditions and critical particle numbers are given as a function of the scattering lengths. The p-wave contribution determines the stability of a single-component gas and can substantially modify the stability of a two-component gas. Moreover it may give rise to a novel p-wave stabilized high-density phase.