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• W2022089423 startingPage "14337" @default.
• W2022089423 abstract "We present benchmark, high precision measurements of the dynamic structure factor $J(Q,y)$ of liquid ${}^{4}mathrm{He}$ at several temperatures over a wide wave vector transfer range $15<~Q<~29 {mathrm{AA{}}}^{ensuremath{-}1}.$ $J(Q,y)$ is very different in the superfluid phase below ${T}_{ensuremath{lambda}}$ and in the normal phase above ${T}_{ensuremath{lambda}}$ where ${T}_{ensuremath{lambda}}=2.17 mathrm{K}.$ Below ${T}_{ensuremath{lambda}},$ $J(Q,y)$ contains a pronounced additional contribution near $y=0$ that is asymmetric about $y=0,$ reflecting a condensate contribution modified by asymmetric final-state (FS) effects. The asymmetry in $J(Q,y)$ is direct qualitative evidence of a condensate. We analyze the data at all T using the same model of $J(Q,y)$ consisting of a condensate fraction ${n}_{0},$ a momentum distribution ${n}^{*}(mathbf{k})$ for states $k>0$ above the condensate, and a FS broadening function $R(Q,y).$ We find a condensate fraction given by ${n}_{0}{(T)=n}_{0}(0)[1ensuremath{-}{(T/T}_{ensuremath{lambda}}{)}^{ensuremath{gamma}}]$ with ${n}_{0}(0)=(7.25ifmmodepmelsetextpmfi{}0.75)%$ and $ensuremath{gamma}=5.5ifmmodepmelsetextpmfi{}1.0$ for $T<{T}_{ensuremath{lambda}},$ which is 30% below existing observed values, and ${n}_{0}=(0ifmmodepmelsetextpmfi{}0.3)%$ for $T>{T}_{ensuremath{lambda}}.$ We determine $n(k)$ in both phases. The ${n}^{*}(mathbf{k})$ is significantly narrower than a Gaussian in both superfluid and normal ${}^{4}mathrm{He}$ and narrowest in the normal phase. The final-state function is determined from the data and is the same within precision above and below ${T}_{ensuremath{lambda}}.$ The precise form of $R(Q,y)$ is important in determining the value of ${n}_{0}(T)$ below ${T}_{ensuremath{lambda}}.$ When independent, theoretical $R(Q,y)$ are used in the analysis, the ${n}_{0}(T)$ is found to be the same as or smaller than the above value." @default.
• W2022089423 created "2016-06-24" @default.
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• W2022089423 date "2000-12-01" @default.
• W2022089423 modified "2023-10-12" @default.
• W2022089423 title "Condensate, momentum distribution, and final-state effects 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:math>" @default.
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• W2022089423 doi "https://doi.org/10.1103/physrevb.62.14337" @default.
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