THEORY OF BINARY BOSON SOLUTIONS. Page: 4 of 30
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The properties of dilute solutions of He in liquid He have
received considerable attention, both theoretically and experimentally,
over the past several years. Bardeen, Baym and Pines1,2 and separately,
Emery,3 proposed a phenomenological theory which assumes a quasiparticle
Hamiltonian at the outset, and uses experimental data to fit certain
undetermined parameters. The pertinent physical parameters in such a
theory include the binding energy of one He atom in liquid He4, the
effective mass of a He3 quasiparticle, and the effective interaction between
a pair of He3 quasiparticles. We, on the other hand, entertained the goal
of achieving a completely microscopic theory of He -Re4 solutions. In two
recent papers,4,5 we reported on a calculation which starts from the
Hamiltonian describing bare helium atoms, and derives a quasiparticle
Hamiltonian containing no free parameters and yielding numerical results
which can be compared directly with experiment.
We consider in this paper a binary solution of mass-3 and mass-4
bosons. Such a system serves as a first approximation to the realistic
He3-Hey solution. An understanding of the properties of this system
yields information about the properties of the He3-He4 solution which
depend primarily on the mass difference and which are relatively unin-
fluenced by the Fermion nature of the He atoms. These properties include
the binding energy of one He3 in liquid He , the long-wavelength (or
static) limit of the effective quasiparticle interaction, and the spatial
distribution of the He3 atoms in the solution. Furthermore, the results
of this calculation form important input information to the complete theory
of dilute He -He solutions mentioned above.4,5
Em I I
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Massey, W.E. & Tan, H. THEORY OF BINARY BOSON SOLUTIONS., report, October 31, 1970; United States. (https://digital.library.unt.edu/ark:/67531/metadc1032575/m1/4/: accessed March 20, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.