Calculation of the Self-Consistent Phonon Spectrum of hcpHe4

Abstract

A numerical computation is carried out of the phonon spectrum of hcp ${\mathrm{He}}^4$ with the self-consistent phonon theory. Dispersion curves in symmetry directions are compared with recent measurements using the inelastic-neutron-scattering technique. The computed anisotropy of the sound velocity is also compared with recent experimental results on acoustic propagation in oriented single crystals.