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The Effective Mass and Binding Energy of 4He in 3He in the Fermi Liquid Region

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Abstract

We have measured the solubility of 4 He in liquid 3 He down to about 40 mK and at pressures from zero up to ∼ 24 atm. The solubility was obtained from the thickness of the superfluid film in contact with unsaturated solutions of 4 He in 3 He as a function of temperature. By fitting the solubility data to Fermi liquid theory, we obtained the parameters m *4 and Δ as a function of pressure. Here, m *4 is the effective mass of 4 He in liquid 3 He and Δ the difference in binding energy between 4 He in pure 4 He and 4 He in liquid 3He. This difference has a minimum near 10 atm. The average of the results for m *4 , at different pressures, is (1.3 ± 0.2)m 4. This agrees with the many body calculations of de Saavedra et al., and with the Stokes hydrodynamic mass using the partial volume of 4 He in 3 He, v *4 . The partial volume was obtained by taking the derivative of Δ with respect to pressure.

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Author notes

  1. Jizhong He

    Present address: Now at Department of Physics, Pennsylvania State University, University Park, PA, 16802, USA

  2. T. G. Culman

    Present address: Now at IBM Storage Systems, 5600 Cottle Road, San Jose, CA, 95193, USA

Authors and Affiliations

  1. Department of Physics, The Ohio State University, Columbus, Ohio, USA

    Jizhong He, T. G. Culman, H. H. Hjort & D. O. Edwards

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  1. Jizhong He
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  2. T. G. Culman
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  3. H. H. Hjort
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  4. D. O. Edwards
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He, J., Culman, T.G., Hjort, H.H. et al. The Effective Mass and Binding Energy of 4He in 3He in the Fermi Liquid Region. Journal of Low Temperature Physics 113, 987–992 (1998). https://doi.org/10.1023/A:1022544015141

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