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Sum rules for a binary solution and effective interactions between3He quasiparticles in superfluid4He

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Abstract

Sum rules are derived for dynamic structure factors for a binary solution and applied to the Woo-Tan-Massey theory of3He-4He solutions. We demonstrate that in the long-wavelength region the effective3He quasiparticle interactionV k contains no lineark dependence. In other words,

$$V_k \to A + Bk^2 {\text{ }}as k \to 0$$

This result is exact, and requires no empirical information. It is consistent with expressions ofV k assumed by Eckstein, Eckstein, Kuper, and Ron, and by Ebner, based on fitting experimental data such as osmotic pressure measurements.

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Authors and Affiliations

  1. School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota

    Hing-Tat Tan

  2. Department of Physics and Materials Research Laboratory, University of Illinois, Urbana, Illinois

    Chia-Wei Woo

  3. Argonne National Laboratory, Argonne, Illinois

    Chia-Wei Woo

  4. Department of Physics, Northeastern University, Boston, Massachusetts

    F. Y. Wu

Authors
  1. Hing-Tat Tan
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  2. Chia-Wei Woo
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  3. F. Y. Wu
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Additional information

Work supported in part by the U.S. Atomic Energy Commission under contract No. AT(11-1)1569, by the Advanced Research Projects Agency through the Materials Research Laboratory of the University of Illinois, and by the National Science Foundation through grants Nos. GP-11054, GP-9041, and GP-25306.

On leave (1970–1971) from Northwestern University, Evanston, Illinois.

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Tan, HT., Woo, CW. & Wu, F.Y. Sum rules for a binary solution and effective interactions between3He quasiparticles in superfluid4He. J Low Temp Phys 5, 261–265 (1971). https://doi.org/10.1007/BF00629703

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  • DOI: https://doi.org/10.1007/BF00629703

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