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Potential splitting approach to e-H and e-He+ scattering
Stockholm University, Faculty of Science, Department of Physics.
Number of Authors: 3
2017 (English)In: Journal of Physics B: Atomic, Molecular and Optical Physics, ISSN 0953-4075, E-ISSN 1361-6455, Vol. 50, no 5, 055001Article in journal (Refereed) Published
Abstract [en]

An approach based on splitting the reaction potential into a finite range part and a long range tail part to describe few-body scattering in the case of a Coulombic interaction is proposed. The solution to the Schrodinger equation for the long range tail of the reaction potential is used as an incoming wave. This reformulation of the scattering problem into an inhomogeneous Schrodinger equation with asymptotic outgoing waves makes it suitable for solving with the exterior complex scaling technique. The validity of the approach is analyzed from a formal point of view and demonstrated numerically, where the calculations are performed with the finite element method. The method of splitting the potential in this way is illustrated with calculations of the electron scattering on the hydrogen atom and the positive helium ion in energy regions where resonances appear.

Place, publisher, year, edition, pages
2017. Vol. 50, no 5, 055001
Keyword [en]
three-body scattering theory, Coulomb interaction, complex scaling
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-147969DOI: 10.1088/1361-6455/aa5996ISI: 000411267600001OAI: oai:DiVA.org:su-147969DiVA: diva2:1149616
Available from: 2017-10-16 Created: 2017-10-16 Last updated: 2017-10-16Bibliographically approved

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