Magnetic ordering in a normal Fermi liquid. II. Strongly polarized systems and the melting curve ofHe3

Abstract

The energy and enthalpy of a spin-half Fermi liquid, with the interparticle interaction given by the Lennard-Jones potential, is calculated using hypernetted chain (HNC) $g\left(r\right)\text{'}\mathrm{s}$ and the statistical cluster expansion (truncated at the three-body term). The behavior of the systems in response to external fields which produce large polarization is described. An estimate is made of the change in the ${}_{}{}^3{}_{}{}^{}\mathrm{He}$ melting curve brought about by an external magnetic field. The numerical results have a number of desirable qualitative features—certain quantitative aspects of the calculations are not satisfactory.