A Jost function description of zero-energy resonance and transparency effects in elastic collisions

Autores
Macri, Pablo Alejandro; Barrachina Tejada, Raul Oscar
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Under certain circumstances, an elastic cross section at very low energies could differ by orders of magnitude above or below any reasonable estimate. The first case occurs near a zero-energy resonance, while the second one is akin to the well-known Ramsauer–Townsend effect. In spite of their intrinsic similarity, both effects are usually explained in very different ways, either in terms of poles of the scattering matrix or by means of a partial-wave analysis, respectively. In this paper we show that a unified description is actually possible. We demonstrate that in a zero-energy resonance or transparency, the standard epsilon2ℓ threshold law of the ℓ-wave cross section is changed into epsilon2(ℓ − 1) (epsilon−1 for ℓ = 0) or epsilon2(ℓ + 1), respectively. Finally, we show that while the zero-energy resonance occurs whenever the scattering length associated to an individual zero of the Jost function diverges, the transparent scattering is a collective effect, where the sum of all the individual scattering lengths plays a relevant role.
Fil: Macri, Pablo Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Cs.exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
Fil: Barrachina Tejada, Raul Oscar. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Area de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
Collision
Resonance
Zero-Energy
Jost
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:11336/17554
Acceder
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network_name_str CONICET Digital (CONICET)
spelling A Jost function description of zero-energy resonance and transparency effects in elastic collisionsMacri, Pablo AlejandroBarrachina Tejada, Raul OscarCollisionResonanceZero-EnergyJosthttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Under certain circumstances, an elastic cross section at very low energies could differ by orders of magnitude above or below any reasonable estimate. The first case occurs near a zero-energy resonance, while the second one is akin to the well-known Ramsauer–Townsend effect. In spite of their intrinsic similarity, both effects are usually explained in very different ways, either in terms of poles of the scattering matrix or by means of a partial-wave analysis, respectively. In this paper we show that a unified description is actually possible. We demonstrate that in a zero-energy resonance or transparency, the standard epsilon2ℓ threshold law of the ℓ-wave cross section is changed into epsilon2(ℓ − 1) (epsilon−1 for ℓ = 0) or epsilon2(ℓ + 1), respectively. Finally, we show that while the zero-energy resonance occurs whenever the scattering length associated to an individual zero of the Jost function diverges, the transparent scattering is a collective effect, where the sum of all the individual scattering lengths plays a relevant role.Fil: Macri, Pablo Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Cs.exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; ArgentinaFil: Barrachina Tejada, Raul Oscar. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Area de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaIop Publishing2013-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/17554Macri, Pablo Alejandro; Barrachina Tejada, Raul Oscar; A Jost function description of zero-energy resonance and transparency effects in elastic collisions; Iop Publishing; Journal Of Physics B: Atomic, Molecular And Optical Physics; 46; 6; 3-2013; 1-6; 0652020953-4075enginfo:eu-repo/semantics/altIdentifier/doi/10.1088/0953-4075/46/6/065202info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/0953-4075/46/6/065202info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:12:49Zoai:ri.conicet.gov.ar:11336/17554instacron: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:34982025-10-22 11:12:50.008CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A Jost function description of zero-energy resonance and transparency effects in elastic collisions
title A Jost function description of zero-energy resonance and transparency effects in elastic collisions
spellingShingle A Jost function description of zero-energy resonance and transparency effects in elastic collisions
Macri, Pablo Alejandro
Collision
Resonance
Zero-Energy
Jost
title_short A Jost function description of zero-energy resonance and transparency effects in elastic collisions
title_full A Jost function description of zero-energy resonance and transparency effects in elastic collisions
title_fullStr A Jost function description of zero-energy resonance and transparency effects in elastic collisions
title_full_unstemmed A Jost function description of zero-energy resonance and transparency effects in elastic collisions
title_sort A Jost function description of zero-energy resonance and transparency effects in elastic collisions
dc.creator.none.fl_str_mv Macri, Pablo Alejandro
Barrachina Tejada, Raul Oscar
author Macri, Pablo Alejandro
author_facet Macri, Pablo Alejandro
Barrachina Tejada, Raul Oscar
author_role author
author2 Barrachina Tejada, Raul Oscar
author2_role author
dc.subject.none.fl_str_mv Collision
Resonance
Zero-Energy
Jost
topic Collision
Resonance
Zero-Energy
Jost
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Under certain circumstances, an elastic cross section at very low energies could differ by orders of magnitude above or below any reasonable estimate. The first case occurs near a zero-energy resonance, while the second one is akin to the well-known Ramsauer–Townsend effect. In spite of their intrinsic similarity, both effects are usually explained in very different ways, either in terms of poles of the scattering matrix or by means of a partial-wave analysis, respectively. In this paper we show that a unified description is actually possible. We demonstrate that in a zero-energy resonance or transparency, the standard epsilon2ℓ threshold law of the ℓ-wave cross section is changed into epsilon2(ℓ − 1) (epsilon−1 for ℓ = 0) or epsilon2(ℓ + 1), respectively. Finally, we show that while the zero-energy resonance occurs whenever the scattering length associated to an individual zero of the Jost function diverges, the transparent scattering is a collective effect, where the sum of all the individual scattering lengths plays a relevant role.
Fil: Macri, Pablo Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Cs.exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
Fil: Barrachina Tejada, Raul Oscar. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Area de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description Under certain circumstances, an elastic cross section at very low energies could differ by orders of magnitude above or below any reasonable estimate. The first case occurs near a zero-energy resonance, while the second one is akin to the well-known Ramsauer–Townsend effect. In spite of their intrinsic similarity, both effects are usually explained in very different ways, either in terms of poles of the scattering matrix or by means of a partial-wave analysis, respectively. In this paper we show that a unified description is actually possible. We demonstrate that in a zero-energy resonance or transparency, the standard epsilon2ℓ threshold law of the ℓ-wave cross section is changed into epsilon2(ℓ − 1) (epsilon−1 for ℓ = 0) or epsilon2(ℓ + 1), respectively. Finally, we show that while the zero-energy resonance occurs whenever the scattering length associated to an individual zero of the Jost function diverges, the transparent scattering is a collective effect, where the sum of all the individual scattering lengths plays a relevant role.
publishDate 2013
dc.date.none.fl_str_mv 2013-03
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/11336/17554
Macri, Pablo Alejandro; Barrachina Tejada, Raul Oscar; A Jost function description of zero-energy resonance and transparency effects in elastic collisions; Iop Publishing; Journal Of Physics B: Atomic, Molecular And Optical Physics; 46; 6; 3-2013; 1-6; 065202
0953-4075
url http://hdl.handle.net/11336/17554
identifier_str_mv Macri, Pablo Alejandro; Barrachina Tejada, Raul Oscar; A Jost function description of zero-energy resonance and transparency effects in elastic collisions; Iop Publishing; Journal Of Physics B: Atomic, Molecular And Optical Physics; 46; 6; 3-2013; 1-6; 065202
0953-4075
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1088/0953-4075/46/6/065202
info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/0953-4075/46/6/065202
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 12.982451

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