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- W2051269787 abstract "We present the first detailed theoretical study of the inelastic neutron scattering contribution ${S}^{mathrm{th}}(stackrel{ensuremath{rightarrow}}{mathrm{Q}},ensuremath{omega})$ from thermally excited quasiparticles in superfluid $^{4}mathrm{He}$, with emphasis on the low-$Q$ collisionless limit. In the temperature region where rotons are the dominant excitation, our results for ${S}^{mathrm{th}}(stackrel{ensuremath{rightarrow}}{mathrm{Q}},ensuremath{omega})$ scale with Landau's normal fluid density. We argue that ${S}^{mathrm{th}}(stackrel{ensuremath{rightarrow}}{mathrm{Q}},ensuremath{omega})$ is the origin of the broad temperature-dependent continuum which Woods and Svensson (1978) have observed at temperatures above about 1.7 K. Our specific model calculations of ${S}^{mathrm{th}}(stackrel{ensuremath{rightarrow}}{mathrm{Q}},ensuremath{omega})$ are based on evaluating the regular part of the longitudinal momentum current-current correlation function within the Bogoliubov approximation, but the experimental quasiparticle (roton) spectrum is used in our numerical calculations. Our expression satisfies the normal fluid $f$-sum rule in the long-wavelength collisionless limit and is in essential agreement with the general picture suggested by Pines and Nozi`eres in 1964. Our present theory involves several approximations which probably limit its validity to $Qensuremath{lesssim}0.5$ ${mathrm{AA{}}}^{ensuremath{-}1}$. Some generalizations to deal with the larger values of $Q$ studied by Woods and Svensson are briefly discussed." @default.
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- W2051269787 date "1981-11-01" @default.
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- W2051269787 title "Theory of neutron scattering from thermally excited quasiparticles in superfluidHe4" @default.
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- W2051269787 doi "https://doi.org/10.1103/physrevb.24.5075" @default.
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