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A microscopic calculation of the effective mass of one $^4$He impurity inhomogeneous liquid $^3$He at zero temperature is performed for an extendedJastrow--Slater wave function, including two-- and three--body dynamicalcorrelations and also backflow correlations between the $^4$He atom and theparticles in the medium. The effective mass at saturation density,$m_4^*/m_4=1.21$, is in very good agreement with the recent experimentaldetermination by Edwards {\it et al}. The three-- particle correlations appearto give a small contribution to the effective mass and different approximationsfor the three--particle distribution function give almost identical results for$m_4^*/m_4$.Comment: 12 pages, RevTex 3.0, one figure available upon request, FENUPC02-9

physical review. b, condensed matter

Effective mass of one<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>atom in liquid<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow…

Effective mass of oneHe4atom in liquidHe