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Elastic positronium-atom scattering using the stochastic variational method.

I A Ivanov1, J Mitroy, K Varga

  • 1Faculty of Science, Northern Territory University, Darwin NT 0909, Australia.

Physical Review Letters
|August 11, 2001
PubMed
Summary
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This study computes scattering lengths for positronium-atom interactions using the stochastic variational method. Findings for positronium-Ps scattering suggest feasibility for stable Bose-Einstein condensates.

Area of Science:

  • Atomic and Molecular Physics
  • Quantum Scattering Theory
  • Computational Chemistry

Background:

  • Positronium (Ps) is a unique atomic system composed of an electron and a positron.
  • Understanding positronium-atom interactions is crucial for various fields, including materials science and fundamental physics.
  • Accurate scattering data is essential for theoretical modeling and experimental verification.

Purpose of the Study:

  • To compute low-energy phase shifts and scattering lengths for positronium-atom scattering.
  • To investigate positronium-hydrogen (Ps-H), positronium-lithium ion (Ps-Li+), positronium-helium (Ps-He), and positronium-positronium (Ps-Ps) systems.
  • To assess the feasibility of forming Bose-Einstein condensates of positronium atoms.

Main Methods:

  • Employed the stochastic variational method (SVM).

Related Experiment Videos

  • Incorporated stabilization techniques for accurate calculations.
  • Calculated low-energy phase shifts and scattering lengths.
  • Main Results:

    • Obtained accurate scattering lengths for Ps-H, Ps-Li+, Ps-He, and Ps-Ps systems.
    • Ps-H scattering lengths are accurate to within 5%, representing the most precise computed values to date.
    • First published scattering lengths for Ps-Li+ and Ps-Ps systems.
    • A positive scattering length (2.95a(0)) was found for spin-aligned 3Ps-3Ps scattering.

    Conclusions:

    • The computed scattering lengths provide valuable data for positronium-atom interactions.
    • The results for Ps-Li+ and Ps-Ps scattering are novel contributions to the field.
    • The positive scattering length for 3Ps-3Ps scattering indicates the potential for stable Bose-Einstein condensate formation.