Binding and structure of tetramers in the scaling limit
Autor(a) principal: | |
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Data de Publicação: | 2012 |
Outros Autores: | , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevA.85.023610 http://hdl.handle.net/11449/226708 |
Resumo: | The momentum-space structure of the Faddeev-Yakubovsky (FY) components of weakly bound tetramers is investigated at the unitary limit using a renormalized zero-range two-body interaction. The results, obtained by considering a given trimer level with binding energy B 3, provide further support to a universal scaling function relating the binding energies of two successive tetramer states. The correlated scaling between the tetramer energies comes from the sensitivity of the four-boson system to a short-range four-body scale. Each excited Nth tetramer energy B4(N) moves as the short-range four-body scale changes, while the trimer properties are kept fixed, with the next excited tetramer B4(N+1) emerging from the atom-trimer threshold for a universal ratio B4(N)/B 3=B4(N)/B4(N+1)4.6, which does not depend on N. We show that both channels of the FY decomposition [atom-trimer (K type) and dimer-dimer (H type)] present high-momentum tails that reflect the short-range four-body scale. We also found that the H channel is favored over the K channel at low momentum, when the four-body momentum scale largely overcomes the three-body scale. © 2012 American Physical Society. |
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Binding and structure of tetramers in the scaling limitThe momentum-space structure of the Faddeev-Yakubovsky (FY) components of weakly bound tetramers is investigated at the unitary limit using a renormalized zero-range two-body interaction. The results, obtained by considering a given trimer level with binding energy B 3, provide further support to a universal scaling function relating the binding energies of two successive tetramer states. The correlated scaling between the tetramer energies comes from the sensitivity of the four-boson system to a short-range four-body scale. Each excited Nth tetramer energy B4(N) moves as the short-range four-body scale changes, while the trimer properties are kept fixed, with the next excited tetramer B4(N+1) emerging from the atom-trimer threshold for a universal ratio B4(N)/B 3=B4(N)/B4(N+1)4.6, which does not depend on N. We show that both channels of the FY decomposition [atom-trimer (K type) and dimer-dimer (H type)] present high-momentum tails that reflect the short-range four-body scale. We also found that the H channel is favored over the K channel at low momentum, when the four-body momentum scale largely overcomes the three-body scale. © 2012 American Physical Society.Instituto de Física Teórica Universidade Estadual Paulista, 1140-070 São Paulo, SPInstituto de Física Universidade Federal Fluminense, 24210-346 Niterói, RJInstituto Tecnológico de Aeronáutica DCTA José Dos Campos, 12228-900 São , SPInstituto de Física Teórica Universidade Estadual Paulista, 1140-070 São Paulo, SPUniversidade Estadual Paulista (UNESP)Universidade Federal Fluminense (UFF)José Dos CamposHadizadeh, M. R. [UNESP]Yamashita, M. T. [UNESP]Tomio, Lauro [UNESP]Delfino, A.Frederico, T.2022-04-29T02:43:30Z2022-04-29T02:43:30Z2012-02-08info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1103/PhysRevA.85.023610Physical Review A - Atomic, Molecular, and Optical Physics, v. 85, n. 2, 2012.1050-29471094-1622http://hdl.handle.net/11449/22670810.1103/PhysRevA.85.0236102-s2.0-84856897857Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review A - Atomic, Molecular, and Optical Physicsinfo:eu-repo/semantics/openAccess2022-04-29T02:43:30Zoai:repositorio.unesp.br:11449/226708Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462022-04-29T02:43:30Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Binding and structure of tetramers in the scaling limit |
title |
Binding and structure of tetramers in the scaling limit |
spellingShingle |
Binding and structure of tetramers in the scaling limit Hadizadeh, M. R. [UNESP] |
title_short |
Binding and structure of tetramers in the scaling limit |
title_full |
Binding and structure of tetramers in the scaling limit |
title_fullStr |
Binding and structure of tetramers in the scaling limit |
title_full_unstemmed |
Binding and structure of tetramers in the scaling limit |
title_sort |
Binding and structure of tetramers in the scaling limit |
author |
Hadizadeh, M. R. [UNESP] |
author_facet |
Hadizadeh, M. R. [UNESP] Yamashita, M. T. [UNESP] Tomio, Lauro [UNESP] Delfino, A. Frederico, T. |
author_role |
author |
author2 |
Yamashita, M. T. [UNESP] Tomio, Lauro [UNESP] Delfino, A. Frederico, T. |
author2_role |
author author author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) Universidade Federal Fluminense (UFF) José Dos Campos |
dc.contributor.author.fl_str_mv |
Hadizadeh, M. R. [UNESP] Yamashita, M. T. [UNESP] Tomio, Lauro [UNESP] Delfino, A. Frederico, T. |
description |
The momentum-space structure of the Faddeev-Yakubovsky (FY) components of weakly bound tetramers is investigated at the unitary limit using a renormalized zero-range two-body interaction. The results, obtained by considering a given trimer level with binding energy B 3, provide further support to a universal scaling function relating the binding energies of two successive tetramer states. The correlated scaling between the tetramer energies comes from the sensitivity of the four-boson system to a short-range four-body scale. Each excited Nth tetramer energy B4(N) moves as the short-range four-body scale changes, while the trimer properties are kept fixed, with the next excited tetramer B4(N+1) emerging from the atom-trimer threshold for a universal ratio B4(N)/B 3=B4(N)/B4(N+1)4.6, which does not depend on N. We show that both channels of the FY decomposition [atom-trimer (K type) and dimer-dimer (H type)] present high-momentum tails that reflect the short-range four-body scale. We also found that the H channel is favored over the K channel at low momentum, when the four-body momentum scale largely overcomes the three-body scale. © 2012 American Physical Society. |
publishDate |
2012 |
dc.date.none.fl_str_mv |
2012-02-08 2022-04-29T02:43:30Z 2022-04-29T02:43:30Z |
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.85.023610 Physical Review A - Atomic, Molecular, and Optical Physics, v. 85, n. 2, 2012. 1050-2947 1094-1622 http://hdl.handle.net/11449/226708 10.1103/PhysRevA.85.023610 2-s2.0-84856897857 |
url |
http://dx.doi.org/10.1103/PhysRevA.85.023610 http://hdl.handle.net/11449/226708 |
identifier_str_mv |
Physical Review A - Atomic, Molecular, and Optical Physics, v. 85, n. 2, 2012. 1050-2947 1094-1622 10.1103/PhysRevA.85.023610 2-s2.0-84856897857 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physical Review A - 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_ |
1803046611951026176 |