BINDING-ENERGY OF ONE HE-4 IMPURITY IN LIQUID-HE-3

A variational microscopic calculation of the binding energy of a He-4 impurity (mu(I)) in homogeneous liquid He-3 at zero temperature is pre sented Starting on an extended Jastrow-Slater wave function including three-body correlations, the expression for mu(I) is derived and the a ppropriated FHNC formalism for this problem is reviewed In the framewo rk of the Average Correlation Approximation (ACA), it is proved that i t is possible to obtain the chemical potential of the impurity only fr om liquid He-3 magnitudes with a good accuracy. Our results are consis tent with both a recent experimental determination of mu(I) at zero pr essure and the non-solubility of He-4 in He-3. However, numerical unce rtainties preclude a firm conclusion about the latter property.