VISUALIZATION OF THE TIME-DEPENDENT CORRELATED WAVEFUNCTIONS OF POSITRON–HYDROGEN SCATTERING SYSTEM

D. O. Odero ()
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D. O. Odero: Medical Physics, Division of Radiation Oncology, The Johns Hopkins University School of Medicine, Baltimore, Maryland 21231, USA

International Journal of Modern Physics C (IJMPC), 2002, vol. 13, issue 02, 253-264

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.

Keywords: Time-dependent Schrödinger equation; positron–electron correlation; excitation; positronium and ionization (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1142/S0129183102003115

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