Abstract
A variational microscopic calculation of the binding energy of a4He impurity (μi) in homogeneous liquid3He at zero temperature is presented. Starting on an extended Jastrow-Slater wave function including three-body correlations, the expression for μI is derived and the appropriated FHNC formalism for this problem is reviewed. In the framework of the Average Correlation Approximation (ACA), it is proved that it is possible to obtain the chemical potential of the impurity only from liquid3He magnitudes with a good accuracy. Our results are consistent with both a recent experimental determination of μI at zero pressure and the non-solubility of4He in3He. However, numerical uncertainties preclude a firm conclusion about the latter property.
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