Energy-density relation for the ground state of a fermi liquid

Abstract

The energy~ensity relation for liquid helium-3 has been computed to first order in the reaction matrix occurring in the formalism of Mohling and his collaborators, using the Frost-Musulin potential. The single-particle potential and the binding energy have been computed in a completely self-consistent way without making any of the usual approximations such as the effective-mass approximation, etc. The first-order calculations give a binding energy of -0.85 K at a Fermi momentum k v = 0.80 ~-t.