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Deep Inelastic Neutron Scattering measurements on liquid $^3$He-$^4$Hemixtures in the normal phase have been performed on the VESUVIO spectrometer atthe ISIS pulsed neutron source at exchanged wavevectors of about $q \simeq120.0$ \AA$^{-1}$. The neutron Compton profiles J(y) of the mixtures weremeasured along the $T=1.96$ K isotherm for $^3$He concentrations, $x$, rangingfrom 0.1 to 1.0 at saturated vapour pressures. Values of kinetic energies,$<T>$, of $^3$He and $^4$He atoms as a function of $x$, $<T >(x)$, wereextracted from the second moment of J(y). The present determinations of $<T>(x)$ confirm previous experimental findings for both isotopes and, in the caseof $^3$He, a substantial disagreement with theory is found. In particular $<T>(x)$ for the $^3$He atoms is found to be independent of concentration yieldinga value $<T >_3(x=0.1)\simeq 12 K $, much lower than the value suggested by themost recent theoretical estimates of approximately 19 K .Comment: 8 pages, 8 figures, accepted for publication, Physical Review

physical review. b, condensed matter

Kinetic energy of He atoms in liquid<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow /><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi mathvariant="normal">He</mml:mi><mml:mrow><mml:msup><mml:mrow><mml:mo>−</mml:mo></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:math>mixtures

Kinetic energy of He atoms in liquid4He−3Hemixtures