Eur. Phys. J. D 19, 3-8 (2002)
https://doi.org/10.1140/epjd/e20020048

Excitation of hydrogen atom by positron using Hylleraas time-dependent approach

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

Corresponding author: ^a dodero@msm.umr.edu

Received: 23 July 2001
Revised: 25 November 2001
Published online: 15 April 2002

Abstract

The time-dependent treatment of positron-hydrogen scattering for a zero total angular momentum has been presented. The initial wavefunction of the positron-hydrogen scattering system has been expanded in terms of three dimensional dynamical wave functions to include all higher angular momenta by solving a set of three coupled differential equations. This wavefunction is then time evolved using Taylor series expansion of the evolution operator. The excitation probabilities are monitored as the wavefunction propagates until there is no more change in the probabilities. The positron impact excitation cross-sections extracted from the final wavefunction are compared with the available results of converged close coupling approach.