Molecular association in a p-wave Fermi gas under variable confinement.

We study molecular formation near a p-wave Feshbach resonance in an ultracold Fermi gas. Radio-frequency association line shapes are fit using a thermally weighted Franck-Condon overlap function that correctly accounts for asymmetry in the profiles. We can then refine the effective range parameters for p-wave scattering in the second lowest magnetic hyperfine level of 40K. Using this model of the three-dimensional p-wave scattering phase shift, we load the atoms into a deep two-dimensional optical lattice and associate one-dimensional dimers to test different models of confinement. Specific attention is paid to the resonance position shift and the experimental feasibility of a 1D unitary regime for odd-wave scattering. The importance of many-body correlations is determined through measurements of the 1D p-wave contacts.