# Zeroth Sound Modes of Dilute Fermi Gas with Arbitrary Spin

Physics – Condensed Matter

Scientific paper

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## Details Zeroth Sound Modes of Dilute Fermi Gas with Arbitrary Spin Zeroth Sound Modes of Dilute Fermi Gas with Arbitrary Spin

10 pages, 2 figures

Scientific paper

Motivated by the recent success of optical trapping of alkali bosons, we have studied the zeroth sound modes of dilute Fermi gases with arbitrary spin-f, which are spin-S excitations ($0\leq S\leq 2f$). The dispersion of the mode (S) depends on a single Landau parameter $F^{(S)}$, which is related to the scattering lengths of the system through a simple formula. Measurement of (even a subset of) these modes in finite magnetic fields will enable one to determine all the interaction parameters of the system.

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