D -dimensional three-body bound-state problem with zero-range interactions

Detalhes bibliográficos
Autor(a) principal: Rosa, D. S.
Data de Publicação: 2022
Outros Autores: Frederico, T., Krein, G. [UNESP], Yamashita, M. T. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1103/PhysRevA.106.023311
http://hdl.handle.net/11449/241603
Resumo: We solved analytically the three-body mass-imbalanced problem embedded in D dimensions for zero-range resonantly interacting particles. We derived the negative energy eigenstates of the three-body Schrödinger equation by imposing the Bethe-Peierls boundary conditions in D dimensions for zero-energy two-body bound states. The solution retrieves the Efimov-like discrete scaling factor dependence with dimension. The analytical form of the mass-imbalanced three-body bound-state wave function can be used to probe the effective dimension of asymmetric cold atomic traps for Feshbach resonances tuned close to the Efimov limit.
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spelling D -dimensional three-body bound-state problem with zero-range interactionsWe solved analytically the three-body mass-imbalanced problem embedded in D dimensions for zero-range resonantly interacting particles. We derived the negative energy eigenstates of the three-body Schrödinger equation by imposing the Bethe-Peierls boundary conditions in D dimensions for zero-energy two-body bound states. The solution retrieves the Efimov-like discrete scaling factor dependence with dimension. The analytical form of the mass-imbalanced three-body bound-state wave function can be used to probe the effective dimension of asymmetric cold atomic traps for Feshbach resonances tuned close to the Efimov limit.Instituto Tecnológico de Aeronáutica DCTA, SPInstituto de Física Teórica Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz, 271-Bloco II, SPInstituto de Física Teórica Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz, 271-Bloco II, SPDCTAUniversidade Estadual Paulista (UNESP)Rosa, D. S.Frederico, T.Krein, G. [UNESP]Yamashita, M. T. [UNESP]2023-03-01T21:12:25Z2023-03-01T21:12:25Z2022-08-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1103/PhysRevA.106.023311Physical Review A, v. 106, n. 2, 2022.2469-99342469-9926http://hdl.handle.net/11449/24160310.1103/PhysRevA.106.0233112-s2.0-85137260897Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review Ainfo:eu-repo/semantics/openAccess2023-03-01T21:12:26Zoai:repositorio.unesp.br:11449/241603Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T23:54:51.165307Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv D -dimensional three-body bound-state problem with zero-range interactions
title D -dimensional three-body bound-state problem with zero-range interactions
spellingShingle D -dimensional three-body bound-state problem with zero-range interactions
Rosa, D. S.
title_short D -dimensional three-body bound-state problem with zero-range interactions
title_full D -dimensional three-body bound-state problem with zero-range interactions
title_fullStr D -dimensional three-body bound-state problem with zero-range interactions
title_full_unstemmed D -dimensional three-body bound-state problem with zero-range interactions
title_sort D -dimensional three-body bound-state problem with zero-range interactions
author Rosa, D. S.
author_facet Rosa, D. S.
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 DCTA
Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Rosa, D. S.
Frederico, T.
Krein, G. [UNESP]
Yamashita, M. T. [UNESP]
description We solved analytically the three-body mass-imbalanced problem embedded in D dimensions for zero-range resonantly interacting particles. We derived the negative energy eigenstates of the three-body Schrödinger equation by imposing the Bethe-Peierls boundary conditions in D dimensions for zero-energy two-body bound states. The solution retrieves the Efimov-like discrete scaling factor dependence with dimension. The analytical form of the mass-imbalanced three-body bound-state wave function can be used to probe the effective dimension of asymmetric cold atomic traps for Feshbach resonances tuned close to the Efimov limit.
publishDate 2022
dc.date.none.fl_str_mv 2022-08-01
2023-03-01T21:12:25Z
2023-03-01T21:12:25Z
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/10.1103/PhysRevA.106.023311
Physical Review A, v. 106, n. 2, 2022.
2469-9934
2469-9926
http://hdl.handle.net/11449/241603
10.1103/PhysRevA.106.023311
2-s2.0-85137260897
url http://dx.doi.org/10.1103/PhysRevA.106.023311
http://hdl.handle.net/11449/241603
identifier_str_mv Physical Review A, v. 106, n. 2, 2022.
2469-9934
2469-9926
10.1103/PhysRevA.106.023311
2-s2.0-85137260897
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Physical Review A
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_ 1808129564347465728

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