Solving close-coupling equations in momentum space without singularities
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Authors
Bray, A.
Abdurakhmanov, Ilkhom
Kadyrov, Alisher
Fursa, Dmitry
Bray, Igor
Date
2015Type
Journal Article
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Bray, A. and Abdurakhmanov, I. and Kadyrov, A. and Fursa, D. and Bray, I. 2015. Solving close-coupling equations in momentum space without singularities. Computer Physics Communications. 196: pp. 276-279.
Source Title
Computer Physics Communications
ISSN
Faculty
Faculty of Science and Engineering
School
Department of Physics and Astronomy
Collection
Abstract
Solving the close-coupling equations for electron–atom scattering in momentum space involves the solution of coupled integral equations, which contain principal value singularities. These can be accurately treated numerically using an on-shell subtraction technique. Here we show how the singularities may be taken into account analytically, leading to an alternative approach to the solution of the integral equations. The robustness of the method is demonstrated by considering the S-wave model of e-H scattering across eight orders of magnitude of incident energies.
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