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
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/50286

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spelling 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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