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Variational study of 3He droplets

Guardiola1, Navarro

  • 1Departamento de Fisica Atomica y Nuclear, Facultad de Fisica, E-46.100-Burjassot, Spain.

Physical Review Letters
|October 4, 2000
PubMed
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Researchers explored helium-3 (³He) droplets using variational calculations. They discovered the smallest bound droplet contains 35 atoms, with higher spin states indicating lower energy for all droplet sizes studied.

Area of Science:

  • Nuclear physics
  • Quantum mechanics
  • Condensed matter physics

Background:

  • Understanding the properties of few-body quantum systems is crucial in nuclear physics.
  • Helium-3 droplets provide a unique system to study many-body quantum phenomena.
  • Previous studies have explored smaller helium clusters, but the transition to droplet behavior requires further investigation.

Purpose of the Study:

  • To perform variational calculations for the energies of helium-3 (³He) droplets with atom numbers ranging from 20 to 40.
  • To determine the minimum number of atoms required for a bound ³He droplet.
  • To investigate the relationship between spin states and energy in these droplets.

Main Methods:

  • Utilized variational calculations to determine the ground state energies of ³He(N) droplets.

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  • Employed a trial wave function incorporating two- and three-body correlations from a configuration-interaction description.
  • Included a Jastrow-type correlated wave function with backflow for enhanced accuracy.

    • Main Results:

    • The smallest bound ³He droplet was found to consist of N = 35 atoms.
    • For all droplet sizes (20 ≤ N ≤ 40), the minimum energy states correspond to the highest spin values.
    • Calculated energies provide insights into the stability and properties of finite quantum systems.

    Conclusions:

    • The study establishes a threshold for the formation of bound ³He droplets.
    • The correlation between high spin and low energy suggests specific quantum configurations are energetically favorable.
    • These findings contribute to a deeper understanding of quantum droplet formation and stability.