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The Momentum Distribution of Liquid \(^4\hbox {He}\)

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Abstract

In this paper, we report a high-resolution neutron Compton scattering study of liquid \(^4\hbox {He}\) under milli-Kelvin temperature control. To interpret the scattering data, we performed Quantum Monte Carlo calculations of the atomic momentum distribution and final state effects for the conditions of temperature and density considered in the experiment. There is excellent agreement between the observed scattering and ab initio calculations of its lineshape at all temperatures. We also used model fit functions to obtain from the scattering data empirical estimates of the average atomic kinetic energy and Bose condensate fraction. These quantities are also in excellent agreement with ab initio calculations. We conclude that contemporary Quantum Monte Carlo methods can furnish accurate predictions for the properties of Bose liquids, including the condensate fraction, close to the superfluid transition temperature.

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Acknowledgements

The authors are grateful to David Sprinkle of Indiana University for lending his expertise to the design, construction, and testing of the cyrogenics built for this study. Saad Elorfi and Mark Loguillo of the Spallation Neutron Source provided technical support for this experiment. We also recognize helpful scientific discussions with Doug Abernathy, Richard Azuah, Souleymane Diallo, Jiao Lin, Matthew Stone, and Peter Willendrup. This report was prepared, in part, by Indiana University under award 70NANB10H255 from the National Institute of Standards and Technology. Matthew S. Bryan acknowledges support under NSF grant DGE-1069091. This research at ORNL’s Spallation Neutron Source was sponsored by the Scientific User Facilities Division, Office of Basic Energy Sciences, U.S. Department of Energy, as well as by the Natural Science and Engineering Research Council of Canada. Computing support from Westgrid is gratefully acknowledged.

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Authors and Affiliations

  1. Center for Neutron Research, National Institute of Standards and Technology, Gaithersburg, MD, 20899-6100, USA

    T. R. Prisk

  2. Department of Physics, Indiana University, Bloomington, IN, 47408, USA

    M. S. Bryan & P. E. Sokol

  3. Neutron Data Analysis and Visualization Division, Oak Ridge National Laboratory, Oak Ridge, TN, 37831, USA

    G. E. Granroth

  4. CNR-IOM DEMOCRITOS, Istituto Officina dei Materiali, and SISSA Scuola Internazionale Superiore di Studi Avanzati, Via Bonomea 265, 34136, Trieste, Italy

    S. Moroni

  5. Department of Physics, University of Alberta, Edmonton, AB, T6G 2E1, Canada

    M. Boninsegni

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  1. T. R. Prisk
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  2. M. S. Bryan
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  3. P. E. Sokol
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  4. G. E. Granroth
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  5. S. Moroni
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  6. M. Boninsegni
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Correspondence to T. R. Prisk.

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Prisk, T.R., Bryan, M.S., Sokol, P.E. et al. The Momentum Distribution of Liquid \(^4\hbox {He}\) . J Low Temp Phys 189, 158–184 (2017). https://doi.org/10.1007/s10909-017-1798-7

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