Fully-spin-polarizedHe3

Abstract

The properties of fully-spin-polarized ${}_{}{}^3{}_{}{}^{}\mathrm{He} \left({}_{}{}^3{}_{}{}^{}\mathrm{He}_{}^{\uparrow }{}_{}{}^{}\right)$ are calculated from first principles within the Galitskii-Feynman $T$-matrix and Hartree-Fock approximation with the use of the HFDHE2 pair potential of Aziz et al. The ground-state energy agrees well with variational calculations, the Landau parameters with model calculations, and the single-particle energy with results expected from nuclear matter. Although the total pair interaction in ${}_{}{}^3{}_{}{}^{}\mathrm{He}_{}^{\uparrow }{}_{}{}^{}$ is not weaker than that in normal ${}_{}{}^3{}_{}{}^{}\mathrm{He}$ it appears to be dominated by the direct part via the pair potential and by the Pauli exclusion repulsion with induced interactions playing a minor role. Since the effective mass is $\approx 1$ and the Landau parameters are small, ${}_{}{}^3{}_{}{}^{}\mathrm{He}_{}^{\uparrow }{}_{}{}^{}$ should respond nearly like an ideal Pauli paramagnet close to full polarization.