Energy and structure of the ground state of liquidHe4

Abstract

We present the results of a calculation of the energy- and liquid-structure function of the ground state of liquid ${}_{}{}^4{}_{}{}^{}\mathrm{He}$ in the density range 0.0180-0.0257 ${\mathrm{\AA }}^{-3\mathrm{}}$, using both the Lennard-Jones 6-12 potential and the second Morse-dipole-dipole potential of Bruch and McGee. The method is to determine the optimum Jastrow trial wave function by multiple iteration of the paired-phonon analysis, and then calculate the contributions of three-body factors in the wave function. Tables of values are given at several densities for the radial distribution function, Jastrow function, and liquid-structure function. We also present a variational formulation of the paired phonon analysis and numerical examples of its convergence and self-consistency.