High momentum response of liquid 3He
F. Mazzanti, A. Polls, J. Boronat, and J. Casulleras
TL;DR
This paper develops a theoretical framework to analyze the high-momentum response of liquid helium-3, incorporating Fermi statistics and realistic momentum distributions, achieving good agreement with experimental data.
Contribution
It introduces a new formalism extending Gersch-Rodriguez to include Fermi statistics explicitly for liquid $^3$He response analysis.
Findings
Good agreement with neutron scattering data
Inclusion of Fermi statistics improves model accuracy
Realistic momentum distribution enhances predictions
Abstract
A final-state-effects formalism suitable to analyze the high-momentum response of Fermi liquids is presented and used to study the dynamic structure function of liquid He. The theory, developed as a natural extension of the Gersch-Rodriguez formalism, incorporates the Fermi statistics explicitely through a new additive term which depends on the semi-diagonal two-body density matrix. The use of a realistic momentum distribution, calculated using the diffusion Monte Carlo method, and the inclusion of this additive correction allows for a good agreement with available deep-inelastic neutron scattering data.
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