# The Momentum Distribution of Liquid ⁴He

## Abstract

We report a high-resolution neutron Compton scattering study of liquid ⁴He 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.

- Authors:

- National Inst. of Standards and Technology (NIST), Gaithersburg, MD (United States)
- Indiana Univ., Bloomington, IN (United States)
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Scuola Internazionale Superiore di Studi AvanzatiTrieste (Italy)
- Univ. of Alberta, Edmonton, AB (Canada)

- Publication Date:

- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC)

- OSTI Identifier:
- 1376568

- Grant/Contract Number:
- AC05-00OR22725

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Journal of Low Temperature Physics

- Additional Journal Information:
- Journal Volume: 189; Journal Issue: 3-4; Journal ID: ISSN 0022-2291

- Publisher:
- Plenum Press

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Bose-Einstein condensation; momentum distributions; inelastic neutron scattering; quantum Monte Carlo

### Citation Formats

```
Prisk, T. R., Bryan, M. S., Sokol, P. E., Granroth, G. E., Moroni, S., and Boninsegni, M. The Momentum Distribution of Liquid ⁴He. United States: N. p., 2017.
Web. doi:10.1007/s10909-017-1798-7.
```

```
Prisk, T. R., Bryan, M. S., Sokol, P. E., Granroth, G. E., Moroni, S., & Boninsegni, M. The Momentum Distribution of Liquid ⁴He. United States. doi:10.1007/s10909-017-1798-7.
```

```
Prisk, T. R., Bryan, M. S., Sokol, P. E., Granroth, G. E., Moroni, S., and Boninsegni, M. Mon .
"The Momentum Distribution of Liquid ⁴He". United States. doi:10.1007/s10909-017-1798-7. https://www.osti.gov/servlets/purl/1376568.
```

```
@article{osti_1376568,
```

title = {The Momentum Distribution of Liquid ⁴He},

author = {Prisk, T. R. and Bryan, M. S. and Sokol, P. E. and Granroth, G. E. and Moroni, S. and Boninsegni, M.},

abstractNote = {We report a high-resolution neutron Compton scattering study of liquid ⁴He 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.},

doi = {10.1007/s10909-017-1798-7},

journal = {Journal of Low Temperature Physics},

number = 3-4,

volume = 189,

place = {United States},

year = {2017},

month = {7}

}

*Citation information provided by*

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