Fermi Liquid Parameters from a Crossing Symmetric Equations Model for the Unitary Fermi Gas

We study medium effects in a 3D Fermi system with attractive interaction of arbitrary strength, in particular, close to the unitary limit. Fermi liquid interaction parameters, characterizing effects of the medium, are obtained employing a crossing-symmetric equations method. Using these we calculate scattering amplitudes, which allow us to study thermodynamics, transport and pairing properties, and calculate the Berstch parameter. We discuss how our results may apply to cold gas near the unitary limit.