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A microscopic approach to the response of 3He-4He mixtures
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Abstract
Correlated-basis-function perturbation theory is used to evaluate the zero-temperature response S(q,ω) of
3
−
4
He mixtures for inelastic neutron scattering, at momentum transfers q ranging from 1.1 to 1.8 A
˚
−
1
. We adopt a Jastrow correlated ground state and a basis of correlated particle-hole and phonon states. We insert correlated one-particle–one-hole and one- and two-phonon states to compute the second-order response. The decay of the one-phonon states into two-phonon states is accounted for in the boson-boson approximation. The full response is split into three partial components
S
α
β
(q,ω), each of them showing a particle-hole bump and a one phonon, δ-shaped peak, which stays separated from the multiphonon background. The cross term
S
34
(q,ω) results to be of comparable importance to
S
33
(q,ω) in the particle-hole sector and to
S
44
(q,ω) in the phonon one. Once the response has been convoluted with the experimental broadening, the computed scattering function is in semiquantitative agreement with recent experimental measurements.
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FABROCINI, A., et al. A microscopic approach to the response of 3He-4He mixtures. Physical Review B. 1996. Vol. 54, num. 14, pags. 10035-10045. ISSN 0163-1829. [consulted: 11 of June of 2026]. Available at: https://hdl.handle.net/2445/10459