Abstract

The high-momentum dynamic structure function of liquid ${}^{3}\mathrm{He}{\ensuremath{-}}^{4}\mathrm{He}$ mixtures has been studied introducing final-state effects. Corrections to the impulse approximation have been included using a generalized Gersch-Rodriguez theory that properly takes into account the Fermi statistics of ${}^{3}\mathrm{He}$ atoms. The microscopic inputs, as the momentum distributions and the two-body density matrices, correspond to a variational (fermi)-hypernetted chain calculation. The agreement with experimental data obtained at $q=23.1{\mathrm{\AA{}}}^{\ensuremath{-}1}$ is not completely satisfactory, the comparison being difficult due to inconsistencies present in the scattering measurements. The significant differences between the experimental determinations and the theoretical results for the ${}^{4}\mathrm{He}$ condensate fraction and the ${}^{3}\mathrm{He}$ kinetic energy still remain unsolved.

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