Gradient corrections to the local-density approximation for trapped superfluid Fermi gases

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Abstract

Two species superfluid Fermi gas is investigated on the BCS side up to the Feshbach resonance. Using the Greens's function technique gradient corrections are calculated to the generalized Thomas-Fermi theory including Cooper pairing. Their relative magnitude is found to be measured by the small parameter (d/RTF)4, where d is the oscillator length of the trap potential and RTF is the radial extension of the density n in the Thomas-Fermi approximation. In particular, at the Feshbach resonance the universal corrections to the local density approximation are calculated and a universal prefactor κW=7/27 is derived for the von Weizsäcker-type correction κW(2/2m)(2n1 2/n1 2).

Original languageEnglish
Article number063609
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume82
Issue number6
DOIs
Publication statusPublished - Dec 8 2010

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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