Abstract
Correlated-basis-function perturbation theory is used to evaluate the zero-temperature response S(q,ω) of He mixtures for inelastic neutron scattering, at momentum transfers q ranging from 1.1 to 1.8 A. 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 (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 (q,ω) results to be of comparable importance to (q,ω) in the particle-hole sector and to (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. © 1996 The American Physical Society.
- Received 22 November 1995
DOI:https://doi.org/10.1103/PhysRevB.54.10035
©1996 American Physical Society