Fermion superfluids of nonzero orbital angular momentum near resonance

We study the pairing of Fermi gases near the scattering resonance of the l not equal 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 superfluids are orbital ferromagnets with pairing wave functions Y-11 and Y-32, respectively. For l = 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.