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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Autores principales: Bustamante, M.G., Miraglia, J.E., Colavecchia, F.D.
Formato: JOUR
Materias:
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
Scattering systems
Integral equations
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00104655_v171_n1_p40_Bustamante
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling 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
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