Stability of Trapped Ultracold Fermi Gases Using Effective s- and p-Wave Contact-Interactions

Details Stability of Trapped Ultracold Fermi Gases Using Effective s- and p-Wave Contact-Interactions Stability of Trapped Ultracold Fermi Gases Using Effective s- and p-Wave Contact-Interactions

2000-03-15

arxiv.org/abs/cond-mat/0003266v3

Journal of Phys. B 33 (2000) L787

Physics

Condensed Matter

Statistical Mechanics

7 pages, 2 figures; to be published in Journal of Phys. B; additional information at http://theory.gsi.de/~trap/

Scientific paper

10.1088/0953-4075/33/20/10k

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 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.

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