Dimensional Effects in Efimov Physics
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1007/s00601-019-1494-z http://hdl.handle.net/11449/188863 |
Resumo: | Efimov physics is drastically affected by the change of spatial dimensions. Efimov states occur in a tridimensional (3D) environment, but disappear in two (2D) and one (1D) dimensions. In this paper, dedicated to the memory of Prof. Faddeev, we will review some recent theoretical advances related to the effect of dimensionality in the Efimov phenomenon considering three-boson systems interacting by a zero-range potential. We will start with a very ideal case with no physical scales (Rosa et al. in Phys Rev A 97:050701, 2018), passing to a system with finite energies in the Born–Oppenheimer (BO) approximation (Rosa et al. in J Phys B At Mol Opt Phys 52:025101, 2018) and finishing with a general system (Sandoval et al. in J Phys B At Mol Opt Phys 51:065004, 2018). The physical reason for the appearance of the Efimov effect is given essentially by two reasons which can be revealed by the BO approximation—the form of the effective potential is proportional to 1 / R 2 (R is the relative distance between the heavy particles) and its strength is smaller than the critical value given by - (D- 2) 2 / 4 , where D is effective dimension. |
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Repositório Institucional da UNESP |
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Dimensional Effects in Efimov PhysicsEfimov physics is drastically affected by the change of spatial dimensions. Efimov states occur in a tridimensional (3D) environment, but disappear in two (2D) and one (1D) dimensions. In this paper, dedicated to the memory of Prof. Faddeev, we will review some recent theoretical advances related to the effect of dimensionality in the Efimov phenomenon considering three-boson systems interacting by a zero-range potential. We will start with a very ideal case with no physical scales (Rosa et al. in Phys Rev A 97:050701, 2018), passing to a system with finite energies in the Born–Oppenheimer (BO) approximation (Rosa et al. in J Phys B At Mol Opt Phys 52:025101, 2018) and finishing with a general system (Sandoval et al. in J Phys B At Mol Opt Phys 51:065004, 2018). The physical reason for the appearance of the Efimov effect is given essentially by two reasons which can be revealed by the BO approximation—the form of the effective potential is proportional to 1 / R 2 (R is the relative distance between the heavy particles) and its strength is smaller than the critical value given by - (D- 2) 2 / 4 , where D is effective dimension.Instituto de Física Teórica Universidade Estadual Paulista UNESP, Rua Dr. Bento Teobaldo Ferraz, 271 - Bloco IIInstituto de Física Teórica Universidade Estadual Paulista UNESP, Rua Dr. Bento Teobaldo Ferraz, 271 - Bloco IIUniversidade Estadual Paulista (Unesp)Yamashita, M. T. [UNESP]2019-10-06T16:21:39Z2019-10-06T16:21:39Z2019-06-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1007/s00601-019-1494-zFew-Body Systems, v. 60, n. 2, 2019.0177-7963http://hdl.handle.net/11449/18886310.1007/s00601-019-1494-z2-s2.0-85063252427Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengFew-Body Systemsinfo:eu-repo/semantics/openAccess2021-10-23T15:54:54Zoai:repositorio.unesp.br:11449/188863Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T14:53:18.960604Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Dimensional Effects in Efimov Physics |
title |
Dimensional Effects in Efimov Physics |
spellingShingle |
Dimensional Effects in Efimov Physics Yamashita, M. T. [UNESP] |
title_short |
Dimensional Effects in Efimov Physics |
title_full |
Dimensional Effects in Efimov Physics |
title_fullStr |
Dimensional Effects in Efimov Physics |
title_full_unstemmed |
Dimensional Effects in Efimov Physics |
title_sort |
Dimensional Effects in Efimov Physics |
author |
Yamashita, M. T. [UNESP] |
author_facet |
Yamashita, M. T. [UNESP] |
author_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Yamashita, M. T. [UNESP] |
description |
Efimov physics is drastically affected by the change of spatial dimensions. Efimov states occur in a tridimensional (3D) environment, but disappear in two (2D) and one (1D) dimensions. In this paper, dedicated to the memory of Prof. Faddeev, we will review some recent theoretical advances related to the effect of dimensionality in the Efimov phenomenon considering three-boson systems interacting by a zero-range potential. We will start with a very ideal case with no physical scales (Rosa et al. in Phys Rev A 97:050701, 2018), passing to a system with finite energies in the Born–Oppenheimer (BO) approximation (Rosa et al. in J Phys B At Mol Opt Phys 52:025101, 2018) and finishing with a general system (Sandoval et al. in J Phys B At Mol Opt Phys 51:065004, 2018). The physical reason for the appearance of the Efimov effect is given essentially by two reasons which can be revealed by the BO approximation—the form of the effective potential is proportional to 1 / R 2 (R is the relative distance between the heavy particles) and its strength is smaller than the critical value given by - (D- 2) 2 / 4 , where D is effective dimension. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019-10-06T16:21:39Z 2019-10-06T16:21:39Z 2019-06-01 |
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/10.1007/s00601-019-1494-z Few-Body Systems, v. 60, n. 2, 2019. 0177-7963 http://hdl.handle.net/11449/188863 10.1007/s00601-019-1494-z 2-s2.0-85063252427 |
url |
http://dx.doi.org/10.1007/s00601-019-1494-z http://hdl.handle.net/11449/188863 |
identifier_str_mv |
Few-Body Systems, v. 60, n. 2, 2019. 0177-7963 10.1007/s00601-019-1494-z 2-s2.0-85063252427 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Few-Body Systems |
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 |
|
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1808128430190886912 |