Effective ${He}^{3}$ Quasiparticle Interaction in Superfluid ${He}^{4}$

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13 July 1970

journal article
research article
Published by American Physical Society (APS) in Physical Review Letters

Vol. 25 (2) , 97-100
https://doi.org/10.1103/physrevlett.25.97

Abstract

The thermodynamic functions of dilute

{}^{3}{He}

-

{}^{4}{He}

solutions are expressed in terms of the excess molar volume in a model-independent fashion. In this way the effective

{}^{3}{He}

quasi-particle potential is found, without the assumption of Bardeen, Baym, and Pines. We find that the term

- \frac{α^{2} m_{4} s^{2}}{n_{40}}

in the effective potential is completely cancelled, but that new terms of another form appear.

Keywords

This publication has 6 references indexed in Scilit:

Velocity of Sound, Density, and Grüneisen Constant in Liquid ${}^{4}{He}$
Physical Review A, 1970
Low-Temperature Density and Solubility of ${He}^{3}$ in Liquid ${He}^{4}$ under Pressure
Physical Review B, 1969
Osmotic Pressure of Degenerate ${He}^{3}$ - ${He}^{4}$ Mixtures
Physical Review Letters, 1969
Effective Interaction of ${He}^{3}$ Atoms in Dilute Solutions of ${He}^{3}$ in ${He}^{4}$ at Low Temperatures
Physical Review B, 1967
Density, Coefficient of Thermal Expansion, and Entropy of Compression of Liquid ${He}^{4}$ under Pressure Below 1.4°K
Physical Review B, 1966
Effective Long-Wavelength Interaction of ${He}^{3}$ Atoms Dissolved in Superfluid ${He}^{4}$
Physical Review Letters, 1966