Influence of induced interactions on the superfluid transition in dilute Fermi gases

We calculate the effects of induced interactions on the transition temperat ure to the BCS state in dilute Fermi gases. For a pure Fermi system with tw o species having equal densities, the transition temperature is suppressed by a factor (4e)(1/3) approximate to 2.2, and for nu fermion species, the t ransition temperature is increased by a factor (4e)(nu/3-1) approximate to 2.2(nu-3) For mixtures of fermions and bosons the exchange of boson density fluctuations gives rise to an attractive interaction, and we estimate the increase of the transition temperature due to this effect.