  This paper explores the behavior of systems of cold fermions as they approach
unitarity above the critical temperature. As we move away from unitarity, by
decreasing the scattering length, the dilaton, the Goldstone boson resulting
from the spontaneous breaking of Schrodinger symmetry by the Fermi sea, becomes
gapped. At energies below this gap, the interaction between quasi-particles
will be dominated by local interactions generated by off-shell dilaton
exchange. The dilaton mass can, in turn, be related via anomaly matching, to
the scattering length and contact parameter within the confines of a systematic
expansion. We use this relation to predict the s-wave Landau parameter to be
$f=\frac{4\pi a (2\epsilon(p_F)-p_F^2/m_\star)^2 m}{3p_F^4 \tilde{C}(a)}$ where
$a$ is the scattering length, $m$ the atomic mass, $m_\star$, the effective
mass which can be extracted from heat capacity, and $\tilde {C}(a)$ is the
dimensionless contact parameter. The range of validity of this prediction
(given in eq.(21)) is determined by the value of contact parameter and Fermi
velocity, which depend upon the scattering length. It is expected to be valid
in a range above $k_F a \sim 1$, but the actual window will depend upon the
values of aforementioned parameters. Given this result for $f$, we predict the
compressibility, spin susceptibility and the quasi-particle life-time.
