Computation of a generalized Nordsieck integral
In this work we introduce two analytical representations of a generalized Nordsieck integral. These integrals arise in the calculations of scattering properties of systems of Coulomb-charged particles using the natural base, which includes general solutions of the two-body Coulomb equation. We study...
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todo:paper_00104655_v171_n1_p40_Bustamante2023-10-03T14:09:07Z Computation of a generalized Nordsieck integral Bustamante, M.G. Miraglia, J.E. Colavecchia, F.D. Analytical continuation Coulomb wave condition Extended Nordsieck integral Natural base Numerical convergence Numerical quadrature Scattering system Charged particles Computational methods Convergence of numerical methods High energy physics Integration Numerical analysis Problem solving Scattering Analytical continuation Coulomb wave condition Extended Nordsieck integral Natural base Numerical convergence Numerical quadrature Scattering systems Integral equations In this work we introduce two analytical representations of a generalized Nordsieck integral. These integrals arise in the calculations of scattering properties of systems of Coulomb-charged particles using the natural base, which includes general solutions of the two-body Coulomb equation. We study the numerical convergence of these representations against the direct Fortran numerical integration. We test the performance of the different strategies as a function of the momentum transfer, which is typically a relevant variable in collision processes. We also discuss the advantages and disadvantages of the different approaches. © 2005 Elsevier B.V. All rights reserved. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00104655_v171_n1_p40_Bustamante |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
topic |
Analytical continuation Coulomb wave condition Extended Nordsieck integral Natural base Numerical convergence Numerical quadrature Scattering system Charged particles Computational methods Convergence of numerical methods High energy physics Integration Numerical analysis Problem solving Scattering Analytical continuation Coulomb wave condition Extended Nordsieck integral Natural base Numerical convergence Numerical quadrature Scattering systems Integral equations |
spellingShingle |
Analytical continuation Coulomb wave condition Extended Nordsieck integral Natural base Numerical convergence Numerical quadrature Scattering system Charged particles Computational methods Convergence of numerical methods High energy physics Integration Numerical analysis Problem solving Scattering Analytical continuation Coulomb wave condition Extended Nordsieck integral Natural base Numerical convergence Numerical quadrature Scattering systems Integral equations Bustamante, M.G. Miraglia, J.E. Colavecchia, F.D. Computation of a generalized Nordsieck integral |
topic_facet |
Analytical continuation Coulomb wave condition Extended Nordsieck integral Natural base Numerical convergence Numerical quadrature Scattering system Charged particles Computational methods Convergence of numerical methods High energy physics Integration Numerical analysis Problem solving Scattering Analytical continuation Coulomb wave condition Extended Nordsieck integral Natural base Numerical convergence Numerical quadrature Scattering systems Integral equations |
description |
In this work we introduce two analytical representations of a generalized Nordsieck integral. These integrals arise in the calculations of scattering properties of systems of Coulomb-charged particles using the natural base, which includes general solutions of the two-body Coulomb equation. We study the numerical convergence of these representations against the direct Fortran numerical integration. We test the performance of the different strategies as a function of the momentum transfer, which is typically a relevant variable in collision processes. We also discuss the advantages and disadvantages of the different approaches. © 2005 Elsevier B.V. All rights reserved. |
format |
JOUR |
author |
Bustamante, M.G. Miraglia, J.E. Colavecchia, F.D. |
author_facet |
Bustamante, M.G. Miraglia, J.E. Colavecchia, F.D. |
author_sort |
Bustamante, M.G. |
title |
Computation of a generalized Nordsieck integral |
title_short |
Computation of a generalized Nordsieck integral |
title_full |
Computation of a generalized Nordsieck integral |
title_fullStr |
Computation of a generalized Nordsieck integral |
title_full_unstemmed |
Computation of a generalized Nordsieck integral |
title_sort |
computation of a generalized nordsieck integral |
url |
http://hdl.handle.net/20.500.12110/paper_00104655_v171_n1_p40_Bustamante |
work_keys_str_mv |
AT bustamantemg computationofageneralizednordsieckintegral AT miragliaje computationofageneralizednordsieckintegral AT colavecchiafd computationofageneralizednordsieckintegral |
_version_ |
1782028037068423168 |