Quasiparticle interaction in a nearly localized Fermi liquid: Application toHe3and heavy-fermion systems

It is shown that the Fermi-liquid interaction and the quasiparticle scattering amplitude for an almost-localized Fermi system tend to a universal limit characterized by large values of the Landau parameters $F_0^s$ and $F_1^s$ and small values of $F_0^a$, $F_1^a$, and the higher-l components. The argument is based on the coupled integral equations for the two-particle vertex function in the particle-hole and particle-particle channels. Our results are in close agreement with those obtained earlier from Gutzwiller’s solution of the Hubbard model.