Fermion Superfluids of Non-Zero Orbital Angular Momentum near Resonance

Abstract

We study the pairing of Fermi gases near the scattering resonance of the $\ell \ne 0$ partial wave. Using a model potential which reproduces the actual two-body low energy scattering amplitude, we have obtained an analytic solution of the gap equation. We show that the ground state of $\ell =1$ and $\ell =3$ superfluid are orbital ferromagnets with pairing wavefunctions $Y_{11}$ and $Y_{32}$ respectively. For $\ell =2$, there is a degeneracy between $Y_{22}$ and a "cyclic state". Dipole energy will orient the angular momentum axis. The gap function can be determined by the angular dependence of the momentum distribution of the fermions.

arXiv comment4 pages, 1 figure

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