Quasi-particle properties of trapped Fermi gases

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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28 pages, 17 figures

Scientific paper

10.1088/0953-4075/38/7/015

We develop a consistent formalism in order to explore the effects of density and spin fluctuations on the quasi-particle properties and on the pairing critical temperature of a trapped Fermi gas on the attractive side of a Feshbach resonance. We first analyze the quasi-particle properties of a gas due to interactions far from resonance (effective mass and lifetime, quasi-particle strength and effective interaction) for the two cases of a spherically symmetric harmonic trap and of a spherically symmetric infinite potential well. We then explore the effect of each of these quantities on $T_c$ and point out the important role played by the discrete level structure.

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