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A simple extension of a model previously used for 3 He- 4 He solutions is presented, in which the effective vertex functions between 3 He and 4 He density fluctuations are assumed to depend only on the momentum transfer. The possible zero-concentration 3 He quasiparticle spectra are divided into two classes, those that do and those that do not intersect the 4 He phonon spectrum. The present model calculations of the coupled phonon spectrum demonstrate that as the temperature is decreased the behavior of the shifts in the phonon spectrum can be considered as a signature of the class of 3 He quasiparticle spectrum used. Comparison with recent scattering experiments, however, indicates that the existing data are not sufficient to distinguish unambiguously between the two classes of 3 He spectrum. It is suggested that a low-temperature neutron scattering experiment be performed to settle this question

The coupled phonon spectrum in3He-4He solutions