Use of generalized hyperspherical Sturmian functions for a three-body break-up model problem

Autores
Mitnik, Dario Marcelo; Gasaneo, Gustavo; Ancarani, L. U.
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
A hyperspherical Sturmian approach recently developed for three-body break-up processes is tested through an analytically solvable S-wave model. The scattering process is represented by a non-homogeneous Schrödinger equation in which the driven term is given by a Coulomb-like interaction multiplied by the product of a continuum wavefunction and a bound state in the particles' coordinates. The model contains most of the difficulties encountered in a real three-body scattering problem, e.g., non-separability in the electrons' spherical coordinates and Coulombic asymptotic behaviour, and thus provides an interesting benchmark for numerical methods. Since the Sturmian basis functions are constructed so as to include the correct asymptotic behaviour, a very fast convergence of the scattering wavefunction is observed. Excellent agreement is found with the analytical results for the associated transition amplitude. This holds true down to very low energies, a domain which is usually challenging as it involves huge spatial extensions. Within our method, such calculations can be performed without increasing significantly the computational requirements.
Fil: Mitnik, Dario Marcelo. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio(i); Argentina
Fil: Gasaneo, Gustavo. Universidad Nacional del Sur. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Ancarani, L. U. . Université de Lorraine. Laboratoire de Physique Moleculaire et des Collisions; Francia
Materia
Generalized Sturmians
Coulomb Problem
Scattering Problem
Hyperspherical Approach
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/10114
Acceder
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Use of generalized hyperspherical Sturmian functions for a three-body break-up model problemMitnik, Dario MarceloGasaneo, GustavoAncarani, L. U. Generalized SturmiansCoulomb ProblemScattering ProblemHyperspherical Approachhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1A hyperspherical Sturmian approach recently developed for three-body break-up processes is tested through an analytically solvable S-wave model. The scattering process is represented by a non-homogeneous Schrödinger equation in which the driven term is given by a Coulomb-like interaction multiplied by the product of a continuum wavefunction and a bound state in the particles' coordinates. The model contains most of the difficulties encountered in a real three-body scattering problem, e.g., non-separability in the electrons' spherical coordinates and Coulombic asymptotic behaviour, and thus provides an interesting benchmark for numerical methods. Since the Sturmian basis functions are constructed so as to include the correct asymptotic behaviour, a very fast convergence of the scattering wavefunction is observed. Excellent agreement is found with the analytical results for the associated transition amplitude. This holds true down to very low energies, a domain which is usually challenging as it involves huge spatial extensions. Within our method, such calculations can be performed without increasing significantly the computational requirements.Fil: Mitnik, Dario Marcelo. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio(i); ArgentinaFil: Gasaneo, Gustavo. Universidad Nacional del Sur. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Ancarani, L. U. . Université de Lorraine. Laboratoire de Physique Moleculaire et des Collisions; FranciaIOP Publishing2013-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/10114Mitnik, Dario Marcelo; Gasaneo, Gustavo; Ancarani, L. U. ; Use of generalized hyperspherical Sturmian functions for a three-body break-up model problem; IOP Publishing; Journal Of Physics B: Atomic, Molecular And Optical Physics; 46; 1; 1-2013; 15202-152110953-4075enginfo:eu-repo/semantics/altIdentifier/url/stacks.iop.org/JPhysB/46/015202info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:07:43Zoai:ri.conicet.gov.ar:11336/10114instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:07:43.483CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Use of generalized hyperspherical Sturmian functions for a three-body break-up model problem
title Use of generalized hyperspherical Sturmian functions for a three-body break-up model problem
spellingShingle Use of generalized hyperspherical Sturmian functions for a three-body break-up model problem
Mitnik, Dario Marcelo
Generalized Sturmians
Coulomb Problem
Scattering Problem
Hyperspherical Approach
title_short Use of generalized hyperspherical Sturmian functions for a three-body break-up model problem
title_full Use of generalized hyperspherical Sturmian functions for a three-body break-up model problem
title_fullStr Use of generalized hyperspherical Sturmian functions for a three-body break-up model problem
title_full_unstemmed Use of generalized hyperspherical Sturmian functions for a three-body break-up model problem
title_sort Use of generalized hyperspherical Sturmian functions for a three-body break-up model problem
dc.creator.none.fl_str_mv Mitnik, Dario Marcelo
Gasaneo, Gustavo
Ancarani, L. U.
author Mitnik, Dario Marcelo
author_facet Mitnik, Dario Marcelo
Gasaneo, Gustavo
Ancarani, L. U.
author_role author
author2 Gasaneo, Gustavo
Ancarani, L. U.
author2_role author
author
dc.subject.none.fl_str_mv Generalized Sturmians
Coulomb Problem
Scattering Problem
Hyperspherical Approach
topic Generalized Sturmians
Coulomb Problem
Scattering Problem
Hyperspherical Approach
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv A hyperspherical Sturmian approach recently developed for three-body break-up processes is tested through an analytically solvable S-wave model. The scattering process is represented by a non-homogeneous Schrödinger equation in which the driven term is given by a Coulomb-like interaction multiplied by the product of a continuum wavefunction and a bound state in the particles' coordinates. The model contains most of the difficulties encountered in a real three-body scattering problem, e.g., non-separability in the electrons' spherical coordinates and Coulombic asymptotic behaviour, and thus provides an interesting benchmark for numerical methods. Since the Sturmian basis functions are constructed so as to include the correct asymptotic behaviour, a very fast convergence of the scattering wavefunction is observed. Excellent agreement is found with the analytical results for the associated transition amplitude. This holds true down to very low energies, a domain which is usually challenging as it involves huge spatial extensions. Within our method, such calculations can be performed without increasing significantly the computational requirements.
Fil: Mitnik, Dario Marcelo. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio(i); Argentina
Fil: Gasaneo, Gustavo. Universidad Nacional del Sur. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Ancarani, L. U. . Université de Lorraine. Laboratoire de Physique Moleculaire et des Collisions; Francia
description A hyperspherical Sturmian approach recently developed for three-body break-up processes is tested through an analytically solvable S-wave model. The scattering process is represented by a non-homogeneous Schrödinger equation in which the driven term is given by a Coulomb-like interaction multiplied by the product of a continuum wavefunction and a bound state in the particles' coordinates. The model contains most of the difficulties encountered in a real three-body scattering problem, e.g., non-separability in the electrons' spherical coordinates and Coulombic asymptotic behaviour, and thus provides an interesting benchmark for numerical methods. Since the Sturmian basis functions are constructed so as to include the correct asymptotic behaviour, a very fast convergence of the scattering wavefunction is observed. Excellent agreement is found with the analytical results for the associated transition amplitude. This holds true down to very low energies, a domain which is usually challenging as it involves huge spatial extensions. Within our method, such calculations can be performed without increasing significantly the computational requirements.
publishDate 2013
dc.date.none.fl_str_mv 2013-01
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/10114
Mitnik, Dario Marcelo; Gasaneo, Gustavo; Ancarani, L. U. ; Use of generalized hyperspherical Sturmian functions for a three-body break-up model problem; IOP Publishing; Journal Of Physics B: Atomic, Molecular And Optical Physics; 46; 1; 1-2013; 15202-15211
0953-4075
url http://hdl.handle.net/11336/10114
identifier_str_mv Mitnik, Dario Marcelo; Gasaneo, Gustavo; Ancarani, L. U. ; Use of generalized hyperspherical Sturmian functions for a three-body break-up model problem; IOP Publishing; Journal Of Physics B: Atomic, Molecular And Optical Physics; 46; 1; 1-2013; 15202-15211
0953-4075
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/stacks.iop.org/JPhysB/46/015202
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv IOP Publishing
publisher.none.fl_str_mv IOP Publishing
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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