We consider the problem of spin-triplet p-wave superfluid pairing with totalspin projection $m_s=0$ in atomic Fermi gas across the Feshbach resonance. Weallow for imbalanced populations and take into account the effects due topresence of a parabolic trapping potential. Within the mean-field approximationfor the one- and two-channel pairing models we show that depending on thedistance from the center of a trap at least two superfluid states will have thelowest energy. Superfluid shells which emerge in a trap may have two out ofthree angular components of the p-wave superfluid order parameter equal tozero.
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