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Potential-splitting approach applied to the Temkin-Poet model for electron scattering off the hydrogen atom and the helium ion
Stockholm University, Faculty of Science, Department of Physics.
Stockholm University, Faculty of Science, Department of Physics.
Number of Authors: 4
2015 (English)In: Journal of Physics B: Atomic, Molecular and Optical Physics, ISSN 0953-4075, E-ISSN 1361-6455, Vol. 48, no 11Article in journal (Refereed) Published
Abstract [en]

The study of scattering processes in few body systems is a difficult problem especially if long range interactions are involved. In order to solve such problems, we develop here a potential-splitting approach for three-body systems. This approach is based on splitting the reaction potential into a finite range core part and a long range tail part. The solution to the Schrodinger equation for the long range tail Hamiltonian is found analytically, and used as an incoming wave in the three body scattering problem. This reformulation of the scattering problem makes it suitable for treatment by the exterior complex scaling technique in the sense that the problem after the complex dilation is reduced to a boundary value problem with zero boundary conditions. We illustrate the method with calculations on the electron scattering off the hydrogen atom and the positive helium ion in the frame of the Temkin-Poet model.

Place, publisher, year, edition, pages
2015. Vol. 48, no 11
Keyword [en]
scattering theory, Coulomb interaction, complex scaling
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-117759DOI: 10.1088/0953-4075/48/11/115002ISI: 000354188800002OAI: oai:DiVA.org:su-117759DiVA: diva2:821305
Available from: 2015-06-15 Created: 2015-06-01 Last updated: 2017-12-04Bibliographically approved

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