The results of a generalized polarization potential calculation of the particle and spin density fluctuation excitation spectra of 3He in the low-temperature limit are described and compared with the recent neutron scattering experiments of Sköld and Pelizzari. The extent to which the range and shape of the effective repulsive interaction between particles of parallel and antiparallel spin may differ is explored, and it is shown that changes of only a few percent have experimentally observable consequences. Good agreement with experiment is found for the dispersion of zero sound; the wave vector dependence of the enhancement of the low-frequency part of the spin density fluctuation excitations, and the coherent and incoherent static structure factors, are examined and compared with experiment for identical and slightly different repulsive parallel and antiparallel spin interactions. Simple qualitative arguments are presented which suggest that for wave vectors 0.4⩽q⩽ 1.2»-1, the zero-sound mode will be little affected as the temperature is raised to 1.2K, while the low-frequency spin fluctuation excitation spectrum undergoes considerable broadening, again in accord with experiment. Changes in the zero-sound dispersion relation with pressure are shown to be sensitive to the range of the repulsive part of the effective quasiparticle interaction, and it is suggested that experiments at 20 atm will help determine the physical origin of the comparatively large range (∼3 ») required to explain the experimental results for 3He at SVP.
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Sherman Fairchild Distinguished Scholar at Caltech during the academic year 1977–78.
Work supported at the University of Illinois by NSF Grants DMR 75-22241 and DMR 76-24011.
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Aldrich, C.H., Pines, D. Polarization potentials and elementary excitations in liquid 3He. J Low Temp Phys 32, 689–715 (1978). https://doi.org/10.1007/BF00056653
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DOI: https://doi.org/10.1007/BF00056653