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The Pair Correlation Function in Liquid 4He.

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Summary
This summary is machine-generated.

This study analyzes the pair correlation function of liquid helium-4 using neutron diffraction data. Results are compared with theoretical calculations to understand its behavior near the superfluid transition.

Keywords:
Ground state wave functionliquid 4Heneutron diffraction datapair correlation functionshort range behaviorstructure factorsuperfluid transition

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Area of Science:

  • Condensed Matter Physics
  • Quantum Fluids

Background:

  • The pair correlation function is crucial for understanding the structure and behavior of quantum fluids like liquid helium-4.
  • Neutron diffraction provides experimental data to probe these correlations.

Purpose of the Study:

  • To present the pair correlation function of liquid 4He at various thermodynamic states.
  • To compare experimental data with theoretical approximations.

Main Methods:

  • Utilizing neutron diffraction data from Mozer, De Graaf, and Le Neindre.
  • Developing a method for accurate extrapolation of the pair function to zero separation.
  • Computing the pair function using an approximation integral equation for the ground state wave function.

Main Results:

  • The pair correlation function was determined for liquid 4He above and below the superfluid transition.
  • A novel extrapolation method was developed and applied.
  • Theoretical computations showed good agreement with experimental findings.

Conclusions:

  • The study provides valuable data on liquid helium-4's pair correlation function.
  • The theoretical approach offers a reliable method for analyzing quantum fluid behavior.
  • Findings contribute to the understanding of superfluidity in 4He.