Fermion Superfluids of Non-Zero Orbital Angular Momentum near Resonance

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We study the pairing of Fermi gases near the scattering resonance of the ℓ≠ 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 ℓ=1 and ℓ=3 superfluid are orbital ferromagnets with pairing wavefunctions Y₁₁ and Y₃₂ respectively. For ℓ=2, there is a degeneracy between Y₂₂ 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.