GROUND-STATE PROPERTIES OF A HE-3 IMPURITY IN LIQUID-HE-4 MONOLAYERS

We present the results of ground-state energies, radial distribution functions, liquid structure functions and effective interactions for a He-3 impurity in a He-4 background in two dimensions. The hypernetted-chain scheme for the system described by a Jastrow-type wavefunction is used, taking into account the triplet correlations and elementary diagrams up to fifth order. Solving the Euler-Lagrange equations for the two-body distribution functions, which contain triplet correlation and elementary diagrams, improves the results considerably. Furthermore, as a He-3 impurity is inserted into the He-4 background, the ground-state energy increases, but the equilibrium density decreases from 0.0350 angstrom -2 to 0.0336 angstrom -2. The radial distribution function is broadened, while its maximum is lowered and shifted to the right (the direction of increasing radial distance) due to its larger zero-point energy, with therefore less localization of the He-3 particle. The results are compared with Monte Carlo results and other studies.