Efimov effect in a D-dimensional Born-Oppenheimer approach
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1088/1361-6455/aaf346 http://hdl.handle.net/11449/188608 |
Resumo: | We study a three-body system, formed by two identical heavy bosons and a light particle, in the Born-Oppenheimer approximation for an arbitrary dimension D. We restrict D to the interval 2 < D < 4, and derive the heavy-heavy D-dimensional effective potential proportional to 1/R 2 (R is the relative distance between the heavy particles), which is responsible for the Efimov effect. We found that the Efimov states disappear once the critical strength of the heavy-heavy effective potential 1/R 2 approaches the limit . We obtained the scaling function for the 133 Cs- 133 Cs- 6 Li system as the limit cycle of the correlation between the energies of two consecutive Efimov states as a function of D and the heavy-light binding energy E D 2 . In addition, we found that the energy of the (N + 1)th excited state reaches the two-body continuum independently of the dimension D when √E 2 D / E 2 (N) , where is the Nth excited three-body binding energy. |
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Repositório Institucional da UNESP |
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Efimov effect in a D-dimensional Born-Oppenheimer approachcold atomsEfimov effectlow-dimensional systemsthree-body problemWe study a three-body system, formed by two identical heavy bosons and a light particle, in the Born-Oppenheimer approximation for an arbitrary dimension D. We restrict D to the interval 2 < D < 4, and derive the heavy-heavy D-dimensional effective potential proportional to 1/R 2 (R is the relative distance between the heavy particles), which is responsible for the Efimov effect. We found that the Efimov states disappear once the critical strength of the heavy-heavy effective potential 1/R 2 approaches the limit . We obtained the scaling function for the 133 Cs- 133 Cs- 6 Li system as the limit cycle of the correlation between the energies of two consecutive Efimov states as a function of D and the heavy-light binding energy E D 2 . In addition, we found that the energy of the (N + 1)th excited state reaches the two-body continuum independently of the dimension D when √E 2 D / E 2 (N) , where is the Nth excited three-body binding energy.Instituto de Física Teórica Universidade Estadual Paulista UNESP, Rua Dr. Bento Teobaldo Ferraz, 271Instituto Tecnológico de AeronáuticaInstituto de Física Teórica Universidade Estadual Paulista UNESP, Rua Dr. Bento Teobaldo Ferraz, 271Universidade Estadual Paulista (Unesp)Instituto Tecnológico de AeronáuticaRosa, D. S. [UNESP]Frederico, T.Krein, G. [UNESP]Yamashita, M. T. [UNESP]2019-10-06T16:13:33Z2019-10-06T16:13:33Z2019-01-28info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1088/1361-6455/aaf346Journal of Physics B: Atomic, Molecular and Optical Physics, v. 52, n. 2, 2019.1361-64550953-4075http://hdl.handle.net/11449/18860810.1088/1361-6455/aaf3462-s2.0-85059854100Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Physics B: Atomic, Molecular and Optical Physicsinfo:eu-repo/semantics/openAccess2021-10-23T09:20:08Zoai:repositorio.unesp.br:11449/188608Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T09:20:08Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Efimov effect in a D-dimensional Born-Oppenheimer approach |
title |
Efimov effect in a D-dimensional Born-Oppenheimer approach |
spellingShingle |
Efimov effect in a D-dimensional Born-Oppenheimer approach Rosa, D. S. [UNESP] cold atoms Efimov effect low-dimensional systems three-body problem |
title_short |
Efimov effect in a D-dimensional Born-Oppenheimer approach |
title_full |
Efimov effect in a D-dimensional Born-Oppenheimer approach |
title_fullStr |
Efimov effect in a D-dimensional Born-Oppenheimer approach |
title_full_unstemmed |
Efimov effect in a D-dimensional Born-Oppenheimer approach |
title_sort |
Efimov effect in a D-dimensional Born-Oppenheimer approach |
author |
Rosa, D. S. [UNESP] |
author_facet |
Rosa, D. S. [UNESP] Frederico, T. Krein, G. [UNESP] Yamashita, M. T. [UNESP] |
author_role |
author |
author2 |
Frederico, T. Krein, G. [UNESP] Yamashita, M. T. [UNESP] |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) Instituto Tecnológico de Aeronáutica |
dc.contributor.author.fl_str_mv |
Rosa, D. S. [UNESP] Frederico, T. Krein, G. [UNESP] Yamashita, M. T. [UNESP] |
dc.subject.por.fl_str_mv |
cold atoms Efimov effect low-dimensional systems three-body problem |
topic |
cold atoms Efimov effect low-dimensional systems three-body problem |
description |
We study a three-body system, formed by two identical heavy bosons and a light particle, in the Born-Oppenheimer approximation for an arbitrary dimension D. We restrict D to the interval 2 < D < 4, and derive the heavy-heavy D-dimensional effective potential proportional to 1/R 2 (R is the relative distance between the heavy particles), which is responsible for the Efimov effect. We found that the Efimov states disappear once the critical strength of the heavy-heavy effective potential 1/R 2 approaches the limit . We obtained the scaling function for the 133 Cs- 133 Cs- 6 Li system as the limit cycle of the correlation between the energies of two consecutive Efimov states as a function of D and the heavy-light binding energy E D 2 . In addition, we found that the energy of the (N + 1)th excited state reaches the two-body continuum independently of the dimension D when √E 2 D / E 2 (N) , where is the Nth excited three-body binding energy. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019-10-06T16:13:33Z 2019-10-06T16:13:33Z 2019-01-28 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1088/1361-6455/aaf346 Journal of Physics B: Atomic, Molecular and Optical Physics, v. 52, n. 2, 2019. 1361-6455 0953-4075 http://hdl.handle.net/11449/188608 10.1088/1361-6455/aaf346 2-s2.0-85059854100 |
url |
http://dx.doi.org/10.1088/1361-6455/aaf346 http://hdl.handle.net/11449/188608 |
identifier_str_mv |
Journal of Physics B: Atomic, Molecular and Optical Physics, v. 52, n. 2, 2019. 1361-6455 0953-4075 10.1088/1361-6455/aaf346 2-s2.0-85059854100 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Journal of Physics B: Atomic, Molecular and Optical Physics |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1799965535518064640 |