FERMION CONDENSATION AND NON FERMI-LIQUID BEHAVIOR IN A MODEL WITH LONG-RANGE FORCES

The phenomenon of the so called Fermion condensation, a phase transiti on analogous to Bose condensation but for Fermions, postulated in the past to occur in systems with strong momentum dependent forces, is rea nalyzed in a model with infinite range interactions. The strongly non Fermi Liquid behavior of this system is demonstrated analytically at T = 0 and at T not equal 0 in the superconducting and normal phases. Th e validity of the quasiparticle picture is investigated and seen to ho ld true for temperatures less than the characteristic temperature T-f of the Fermion condensation.