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We study inelastic two-body relaxation in a spin-polarized ultracold Fermigas in the presence of a p-wave Feshbach resonance. It is shown that in reduceddimensionalities, especially in the quasi-one-dimensional case, the enhancementof the inelastic rate constant on approach to the resonance is stronglysuppressed compared to three dimensions. This may open promising paths forobtaining novel many-body states.

Two-body relaxation of spin-polarized fermions in reduced dimensionalities near a p-wave Feshbach resonance