Journal of Low Temperature Physics

, Volume 5, Issue 3, pp 261–265 | Cite as

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

  • Hing-Tat Tan
  • Chia-Wei Woo
  • F. Y. Wu


Sum rules are derived for dynamic structure factors for a binary solution and applied to the Woo-Tan-Massey theory of 3 He- 4 He solutions. We demonstrate that in the long-wavelength region the effective 3 He quasiparticle interactionVk 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 ofVk assumed by Eckstein, Eckstein, Kuper, and Ron, and by Ebner, based on fitting experimental data such as osmotic pressure measurements.


Experimental Data Structure Factor Magnetic Material Pressure Measurement Osmotic Pressure 
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Copyright information

© Plenum Publishing Corporation 1971

Authors and Affiliations

  • Hing-Tat Tan
    • 1
  • Chia-Wei Woo
    • 2
    • 3
  • F. Y. Wu
    • 4
  1. 1.School of Physics and AstronomyUniversity of MinnesotaMinneapolis
  2. 2.Department of Physics and Materials Research LaboratoryUniversity of IllinoisUrbana
  3. 3.Argonne National LaboratoryArgonne
  4. 4.Department of PhysicsNortheastern UniversityBoston

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