Nuclear hydrodynamics

Abstract

Continuum equations are derived for nuclear motion in the framework of time-dependent Hartree-Fock theory. The equations describe an elastic medium at low frequencies and independent particle motion at high frequencies. The giant quadrupole and monopole states are derived from the theory. The quadrupole energy in the Fermi gas model is given by E = ( 2 m ) ( 6k F 2 5 〈r 2〉 ) 1 2 . The monopole energy depends on the details of the underlying Hartree-Fock theory. For higher multipoles, the theory only gives a mean energy of the strength function. We derive the Wigner density matrix of the theory. From this it is argued that all the modes except the giant quadrupole and monopole are subject to Landau damping.