Spectral and thermodynamical properties of symmetric nuclear matter with Gogny interaction

The finite range effects of an effective force on the single particle properties and the particle-hole effective interaction are investigated in a wide interval of temperatures. The calculations are performed in a framework of a thermal Hartree-Fock method using the D1-Gogny density dependent interaction. First, the behaviour of the single particle potential, effective mass and the momentum distribution is discussed. The competition between statistical correlations and mean field effects is studied by analyzing the relative momentum distribution and the two-body distribution function. Secondly, a possible extension of the Landau Fermi liquid theory to finite temperatures is discussed in the context of symmetric nuclear matter. Special attention is devoted to the meaning of the Landau parameters and to the requirements for thermodynamic stability. In particular, the relation between the nuclear incompressibility and the F0ss-Landau amplitude at finite temperatures is carefully analyzed. ((orig.))