Quasi-particle properties and Cooper pairing in trapped Fermi gases
  The possibility for the particles in a Fermi gas to emit and reabsorb density and spin fluctuations gives rise to an effective mass and to a lifetime of the quasi-particles, as well as to an effective pairing interaction which affect in an important way the BCS critical temperature. We calculate these effects for a spherically symmetric trapped Fermi gas of $\sim$ 1000 particles. The calculation provides insight on the many-body physics of finite Fermi gases and is closely related to similar problems recently considered in the case of atomic nuclei and neutron stars. 
L. Giorgetti, L. Viverit, G. Gori, F. Barranco, E. Vigezzi, R. A.   Broglia