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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/17554
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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 Técnicas2025-09-29T09:44:05Zoai: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:34982025-09-29 09:44:05.625CONICET 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 |
13.070432 |