Dynamic Structure Function in 3he-4he Mixtures

Physics – Condensed Matter

Scientific paper

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29 pages, Plain TeX, 11 figures available by request from dalfovo@itnvax.cineca.it

Scientific paper

10.1016/0921-4526(94)90759-5

Relevant features of the dynamic structure function $S(q,\omega)$ in $^3$He-$^4$He mixtures at zero temperature are investigated starting from known properties of the ground state. Sum rules are used to fix rigorous constraints to the different contributions to $S(q,\omega)$, coming from $^3$He and $^4$He elementary excitations, as well as to explore the role of the cross term $S^{(3,4)}(q,\omega)$. Both the low-$q$ (phonon-roton $^4$He excitations and 1p-1h $^3$He excitations) and high-$q$ (deep inelastic scattering) ranges are discussed.

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