Ultracold collisional properties of weakly-bound $p$-wave molecules in a gas of spin-polarized fermions

Abstract: We study three-atom collisional physics relevant to spin-polarized fermionic molecules, under conditions where the interatomic interactions are strongly modified by the presence of a Feshbach resonance [1]. We have explored how both the size and binding energy of $p$-wave molecules modify their collisional properties. We also have studied the effects of a non-negligible energy dependence, and of the finite atom-atom $p$-wave scattering length, on the $s$-wave elastic atom-dimer scattering length. We then speculate about the relevance of these results to ultracold spin-polarized fermi gas experiments. [1] H. Suno, B. D. Esry, and C. H. Greene, Phys. Rev. Lett. 90, 053202 (2003). This work was supported in part by the National Science Foundation.