Modern potentials and the properties of condensedHe4

Abstract

The Green's-function Monte Carlo method has been used to calculate the properties of the ground-state ${}_{}{}^4{}_{}{}^{}\mathrm{He}$ with several modern potentials. One potential, dubbed HFDHE2, by Aziz et al., gave very good agreement with the experimental equation of state in both the liquid and crystal phases. Other properties such as the structure factor and the momentum distribution also compare well with the experiment. In both phases, perturbative estimates of the three-body Axilrod-Teller potential were computed. When they are added to the two-body energies, the total energy is no longer in agreement with experiment. Further investigation on the nature of three-body interactions in the ${}_{}{}^4{}_{}{}^{}\mathrm{He}$ may be necessary to elucidate this problem.