We study the prospects for observing superfluidity in a spin-polarized
atomic gas of Li-6 atoms, using state-of-the-art interatomic potentia
ls. We determine the spinodal line and show that a BCS transition to t
he superfluid state can indeed occur in the (meta)stable region of the
phase diagram if the densities are sufficiently low. We also discuss
the stability of the gas due to exchange and dipolar relaxation and co
nclude that the prospects for observing superfluidity in a magneticall
y trapped atomic Li-6 gas are particularly promising for magnetic bias
fields larger than 10 T.