Cooper pairs in the Borromean nuclei 6He and 11Li using continuum single particle level density
- Autores
- Id Betan, Rodolfo Mohamed
- Año de publicación
- 2017
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- A Borromean nucleus is a bound three-body system which is pairwise unbound because none of the two-body subsystem interactions are strong enough to bind them in pairs. As a consequence, the single-particle spectrum of a neutron in the core of a Borromean nucleus is purely continuum, similarly to the spectrum of a free neutron, but two valence neutrons are bound up in such a core. Most of the usual approaches do not use the true continuum to solve the three-body problem but use a discrete basis, like for example, wave functions in a finite box. In this paper the proper continuum is used to solve the pairing Hamiltonian in the continuum spectrum of energy by using the single particle level density devoid of the free gas. It is shown that the density defined in this way modulates the pairing in the continuum. The partial-wave occupation probabilities for the Borromean nuclei 6He and 11Li are calculated as a function of the pairing strength. While at the threshold strength the (s1/2)2 and (p3/2)2 configurations are equally important in 6He, the (s1/2)2 configuration is the main one in 11Li. For very small strength the (s1/2)2 configuration becomes the dominant in both Borromean nuclei. At the physical strength, the calculated wave function amplitudes show a good agreement with other methods and experimental data which indicates that this simple model grasps the essence of the pairing in the continuum.
Fil: Id Betan, Rodolfo Mohamed. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina. Universidad Nacional de Rosario. Instituto de Estudios Nucleares y Radiaciones Ionizantes; Argentina - Materia
-
Borromean Nuclei
Continuum
Pairing
Single Particle Density - 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:11336/50286
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Cooper pairs in the Borromean nuclei 6He and 11Li using continuum single particle level densityId Betan, Rodolfo MohamedBorromean NucleiContinuumPairingSingle Particle Densityhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1A Borromean nucleus is a bound three-body system which is pairwise unbound because none of the two-body subsystem interactions are strong enough to bind them in pairs. As a consequence, the single-particle spectrum of a neutron in the core of a Borromean nucleus is purely continuum, similarly to the spectrum of a free neutron, but two valence neutrons are bound up in such a core. Most of the usual approaches do not use the true continuum to solve the three-body problem but use a discrete basis, like for example, wave functions in a finite box. In this paper the proper continuum is used to solve the pairing Hamiltonian in the continuum spectrum of energy by using the single particle level density devoid of the free gas. It is shown that the density defined in this way modulates the pairing in the continuum. The partial-wave occupation probabilities for the Borromean nuclei 6He and 11Li are calculated as a function of the pairing strength. While at the threshold strength the (s1/2)2 and (p3/2)2 configurations are equally important in 6He, the (s1/2)2 configuration is the main one in 11Li. For very small strength the (s1/2)2 configuration becomes the dominant in both Borromean nuclei. At the physical strength, the calculated wave function amplitudes show a good agreement with other methods and experimental data which indicates that this simple model grasps the essence of the pairing in the continuum.Fil: Id Betan, Rodolfo Mohamed. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina. Universidad Nacional de Rosario. Instituto de Estudios Nucleares y Radiaciones Ionizantes; ArgentinaElsevier Science2017-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/50286Id Betan, Rodolfo Mohamed; Cooper pairs in the Borromean nuclei 6He and 11Li using continuum single particle level density; Elsevier Science; Nuclear Physics A; 959; 3-2017; 147-1600375-9474CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.nuclphysa.2017.01.004info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/abs/pii/S0375947417300106info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:36:31Zoai:ri.conicet.gov.ar:11336/50286instacron: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 10:36:31.909CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
Cooper pairs in the Borromean nuclei 6He and 11Li using continuum single particle level density |
title |
Cooper pairs in the Borromean nuclei 6He and 11Li using continuum single particle level density |
spellingShingle |
Cooper pairs in the Borromean nuclei 6He and 11Li using continuum single particle level density Id Betan, Rodolfo Mohamed Borromean Nuclei Continuum Pairing Single Particle Density |
title_short |
Cooper pairs in the Borromean nuclei 6He and 11Li using continuum single particle level density |
title_full |
Cooper pairs in the Borromean nuclei 6He and 11Li using continuum single particle level density |
title_fullStr |
Cooper pairs in the Borromean nuclei 6He and 11Li using continuum single particle level density |
title_full_unstemmed |
Cooper pairs in the Borromean nuclei 6He and 11Li using continuum single particle level density |
title_sort |
Cooper pairs in the Borromean nuclei 6He and 11Li using continuum single particle level density |
dc.creator.none.fl_str_mv |
Id Betan, Rodolfo Mohamed |
author |
Id Betan, Rodolfo Mohamed |
author_facet |
Id Betan, Rodolfo Mohamed |
author_role |
author |
dc.subject.none.fl_str_mv |
Borromean Nuclei Continuum Pairing Single Particle Density |
topic |
Borromean Nuclei Continuum Pairing Single Particle Density |
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 Borromean nucleus is a bound three-body system which is pairwise unbound because none of the two-body subsystem interactions are strong enough to bind them in pairs. As a consequence, the single-particle spectrum of a neutron in the core of a Borromean nucleus is purely continuum, similarly to the spectrum of a free neutron, but two valence neutrons are bound up in such a core. Most of the usual approaches do not use the true continuum to solve the three-body problem but use a discrete basis, like for example, wave functions in a finite box. In this paper the proper continuum is used to solve the pairing Hamiltonian in the continuum spectrum of energy by using the single particle level density devoid of the free gas. It is shown that the density defined in this way modulates the pairing in the continuum. The partial-wave occupation probabilities for the Borromean nuclei 6He and 11Li are calculated as a function of the pairing strength. While at the threshold strength the (s1/2)2 and (p3/2)2 configurations are equally important in 6He, the (s1/2)2 configuration is the main one in 11Li. For very small strength the (s1/2)2 configuration becomes the dominant in both Borromean nuclei. At the physical strength, the calculated wave function amplitudes show a good agreement with other methods and experimental data which indicates that this simple model grasps the essence of the pairing in the continuum. Fil: Id Betan, Rodolfo Mohamed. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina. Universidad Nacional de Rosario. Instituto de Estudios Nucleares y Radiaciones Ionizantes; Argentina |
description |
A Borromean nucleus is a bound three-body system which is pairwise unbound because none of the two-body subsystem interactions are strong enough to bind them in pairs. As a consequence, the single-particle spectrum of a neutron in the core of a Borromean nucleus is purely continuum, similarly to the spectrum of a free neutron, but two valence neutrons are bound up in such a core. Most of the usual approaches do not use the true continuum to solve the three-body problem but use a discrete basis, like for example, wave functions in a finite box. In this paper the proper continuum is used to solve the pairing Hamiltonian in the continuum spectrum of energy by using the single particle level density devoid of the free gas. It is shown that the density defined in this way modulates the pairing in the continuum. The partial-wave occupation probabilities for the Borromean nuclei 6He and 11Li are calculated as a function of the pairing strength. While at the threshold strength the (s1/2)2 and (p3/2)2 configurations are equally important in 6He, the (s1/2)2 configuration is the main one in 11Li. For very small strength the (s1/2)2 configuration becomes the dominant in both Borromean nuclei. At the physical strength, the calculated wave function amplitudes show a good agreement with other methods and experimental data which indicates that this simple model grasps the essence of the pairing in the continuum. |
publishDate |
2017 |
dc.date.none.fl_str_mv |
2017-03 |
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/11336/50286 Id Betan, Rodolfo Mohamed; Cooper pairs in the Borromean nuclei 6He and 11Li using continuum single particle level density; Elsevier Science; Nuclear Physics A; 959; 3-2017; 147-160 0375-9474 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/50286 |
identifier_str_mv |
Id Betan, Rodolfo Mohamed; Cooper pairs in the Borromean nuclei 6He and 11Li using continuum single particle level density; Elsevier Science; Nuclear Physics A; 959; 3-2017; 147-160 0375-9474 CONICET Digital CONICET |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.nuclphysa.2017.01.004 info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/abs/pii/S0375947417300106 |
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 |
Elsevier Science |
publisher.none.fl_str_mv |
Elsevier Science |
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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1844614386296029184 |
score |
13.070432 |