Sound wave propagation in a two-component fermi liquid

Abstract

We investigate the stability of the sound wave propagation in a two-component (protons and neutrons) Fermi liquid based on the time-dependent Hartree-Fock equation in configuration space. The two types of sound modes appear, which are known as plasmons and phonons. Because of the Coulomb repulsion between protons the plasma mode tends to be stabler than the phonon mode. The isospin mixing caused by the Coulomb interaction cannot be neglected for the excitation modes with wavelength of the order of nuclear size.