Variational Calculations for ${}^3$He Impurities on ${}^4$He Droplets

Abstract

Variational Monte Carlo method is used to calculate ground state properties of ${}^4$He droplets, containing 70, 112, 168, 240, 330, and 728 particles. The resulting particle and kinetic energy densities are used as an input in the Feynman-Lekner theory for ${}^3$He impurities. The kinetic energy density of ${}^4$He atoms and the energy of the ${}^3$He surface states are compared with the results of previous phenomenological calculations.

12 pages, in revtex 3.0, with 5 .ps figures