#### Abstract

The properties of the ground state of liquid ${\mathrm{He}}^{4}$ are studied using a variational wave function of the form ${\Pi}_{i<j}f\left({r}_{\mathrm{ij}}\right)$. The Lennard-Jones 12-6 potential is used with parameters determined from the gas data by deBoer and Michiels. The configuration space integrals are performed by a Monte Carlo technique for 32 and 108 atoms in a cube with periodic boundary conditions. With $f\left(r\right)=\mathrm{exp}[-{\left(\frac{2.6\mathrm{\AA}}{r}\right)}^{5}]$, the ground-state energy is found to be -0.78 × ${10}^{-15\mathrm{}}$ ergs/atom, which is 20% above the experimental value. The liquid structure factor and the two-particle correlation function are in reasonably good agreement with the x-ray and neutron scattering experiments.

DOI: http://dx.doi.org/10.1103/PhysRev.138.A442

- Received 16 November 1964
- Published in the issue dated April 1965

© 1965 The American Physical Society