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Sum rules for a binary solution and effective interactions between3He quasiparticles in superfluid4He |
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| Authors: | Hing-Tat Tan Chia-Wei Woo F. Y. Wu |
| Affiliation: | 1. School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 2. Department of Physics and Materials Research Laboratory, University of Illinois, Urbana, Illinois 3. Argonne National Laboratory, Argonne, Illinois 4. Department of Physics, Northeastern University, Boston, Massachusetts |
| Abstract: | 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 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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