Self-consistent screening and approximate residual Landau interaction functions for the electron gas

We formulate a new self-consistent approach which takes into account both exchange and collision processes consistent with the conserving approximation scheme in an electron gas. We extract the Landau Fermi-liquid parameters from this theory. We compute self-consistently the various system parameters such as the effective mass at the Fermi surface, the spin susceptibility, the compressibility, and the plasmon dispersion. We have calculated the Fermi-liquid parameters for various angles and for densities in the metallic range. All these are compared with our previous work on the subject which did not take account of the exchange and collision processes included here. We have thus considered in some detail, the effects of antiparallel spin correlations on various system properties.