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

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 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.

arXiv comment7 pages, 2 figures; to be published in Journal of Phys. B; additional information at http://theory.gsi.de/~trap/

References in corpus (5)

• The Superfluid State of Atomic Li6 in a Magnetic Trap
• Controlling atom-atom interaction at ultralow temperatures by dc electric fields
• Observation of p-wave Threshold Law Using Evaporatively Cooled Fermionic Atoms
• Evaporative Cooling of a Two-Component Degenerate Fermi Gas
• Component separation in harmonically trapped boson-fermion mixtures

Cited by in corpus (6)

• Multiplet Structure of Feshbach Resonances in non-zero partial waves
• Mean-field instability of trapped dilute boson-fermion mixtures
• Effective s- and p-Wave Contact Interactions in Trapped Degenerate Fermi Gases
• Phase diagram of trapped degenerate Fermi gases including effective s- and p-wave interactions
• p-wave phase shift and scattering length of ${}^6$Li
• The Twist Mode in Atomic Fermi Gases