A microscopic approach to the response of 3He - 4He mixtures
Abstract
Correlated Basis Function perturbation theory is used to evaluate the zero temperature response S(q,ω) of 3He-4He mixtures for inelastic neutron scattering, at momentum transfers q ranging from 1.1 to 1.7 -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-phonon states to compute the second order response. The decay of the one-phonon states into two-phonon states is accounted for in boson-boson approximation. The full response is splitted into three partial components Sα β(q,ω), each of them showing a particle-hole bump and a one phonon, delta shaped peak, which stays separated from the multiphonon background. The cross term S34(q,ω) results to be of comparable importance to S33(q,ω) in the particle-hole sector and to S44(q,ω) in the phonon one. Once the one-phonon peak has been convoluted with the experimental broadening, the computed scattering function is in semiquantitative agreement with recent experimental measurements.
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