Effective Mass of One 4he Atom in Liquid 3he

Abstract

A microscopic calculation of the effective mass of one ${}^4$He impurity in homogeneous liquid ${}^3$He at zero temperature is performed for an extended Jastrow--Slater wave function, including two-- and three--body dynamical correlations and also backflow correlations between the ${}^4$He atom and the particles in the medium. The effective mass at saturation density, $m_4^{\ast }/m_4=1.21$, is in very good agreement with the recent experimental determination by Edwards {\it et al}. The three-- particle correlations appear to give a small contribution to the effective mass and different approximations for the three--particle distribution function give almost identical results for $m_4^{\ast }/m_4$.

12 pages, RevTex 3.0, one figure available upon request, FENUPC02-94

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