6 research outputs found

    Beyond the binary collision approximation for the large-qq response of liquid 4^4He

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    We discuss corrections to the linear response of a many-body system beyond the binary collision approximation. We first derive for smooth pair interactions an exact expression of the response 1/q2\propto 1/q^2, considerably simplifying existing forms and present also the generalization for interactions with a strong, short-range repulsion. We then apply the latter to the case of liquid 4^4He. We display the numerical influence of the 1/q21/q^2 correction around the quasi-elastic peak and in the low-intensity wings of the response, far from that peak. Finally we resolve an apparent contradiction in previous discussions around the fourth order cumulant expansion coefficient. Our results prove that the large-qq response of liquid 4^4He can be accurately understood on the basis of a dynamical theory.Comment: 19 p. Figs. available on reques

    Momentum distributions and final state interactions in quantum fluids

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    SIGLEAvailable from British Library Document Supply Centre- DSC:DXN002198 / BLDSC - British Library Document Supply CentreGBUnited Kingdo

    Kinetic energy of He atoms in liquid <sup>4</sup>He-<sup>3</sup>He mixtures

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    Deep inelastic neutron scattering measurements on liquid 3He-4He mixtures in the normal phase have been performed on the VESUVIO spectrometer at the ISIS pulsed neutron source at exchanged wave vectors of about q≃120.0Å-1. The neutron Compton profiles J(y) of the mixtures were measured along the T=1.96K isotherm for 3He concentrations, x, ranging from 0.1 to 1.0 at saturated vapor pressures. Values of kinetic energies 〈T〉 of 3He and 4He atoms as a function of x, 〈T〉(x), were extracted from the second moment of J(y). The present determinations of 〈T〉(x) confirm previous experimental findings for both isotopes and, in the case of 3He, a substantial disagreement with theory is found. In particular 〈T〉(x) for the 3He atoms is found to be independent of concentration yielding a value 〈T〉3(x=0.1)≃12K, much lower than the value suggested by the most recent theoretical estimates of approximately 19 K
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