Implications of unstable collective modes for the nuclear-matter ground state

Abstract

The general stability conditions of the plane-wave Hartree-Fock approximation of nuclear matter are derived in the approximation of small collective-excitation momentum. The relation of the random-phase-approximation method of determining these conditions to the Fermi-sphere-deformation method is pointed out. In the same approximation, it is shown that the stability conditions do not depend on the shape of the potential.