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Visualization Of The Time-Dependent Correlated Wavefunctions Of Positron–Hydrogen Scattering System

Author

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  • D. O. ODERO

    (Medical Physics, Division of Radiation Oncology, The Johns Hopkins University School of Medicine, Baltimore, Maryland 21231, USA)

Abstract

Time-dependent approach has been applied to positron–hydrogen scattering. The initial wavefunction of the system in this approach is expanded in terms of three-dimensional dynamical wavefunctions to include all higher angular momenta by solving a set of three coupled differential equations. The entire contributing scattering channels are automatically included in this approach. Therefore, it resolves the problems at the intermediate energies where the positronium-formation is important. The visualization of the two-particle correlated (angular dependent) wavefunction of the system as it evolves has been presented and provides quantitative analysis of the positronium-formation and ionization processes as they occur. The positron impact transfer (combined positronium-formation and ionization) probabilities obtained from the final wavefunction compares very well with those of time-dependent converged close-coupling calculations.

Suggested Citation

  • D. O. Odero, 2002. "Visualization Of The Time-Dependent Correlated Wavefunctions Of Positron–Hydrogen Scattering System," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 13(02), pages 253-264.
    • Handle: RePEc:wsi:ijmpcx:v:13:y:2002:i:02:n:s0129183102003115
    DOI: 10.1142/S0129183102003115
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