Excited Hadrons and the Analytical Structure of Bound-State Interaction Kernels
Autor(a) principal: | |
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Data de Publicação: | 2016 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1007/s00601-016-1133-x http://hdl.handle.net/11449/162022 |
Resumo: | We highlight Hermiticity issues in bound-state equations whose kernels are subject to a highly asymmetric mass and momentum distribution and whose eigenvalue spectrum becomes complex for radially excited states. We trace back the presence of imaginary parts in the eigenvalues and wave functions to truncation artifacts and suggest how they can be eliminated in the case of charmed mesons. The solutions of the gap equation in the complex plane, which play a crucial role in the analytic structure of the Bethe-Salpeter kernel, are discussed for several interaction models and qualitatively and quantitatively compared to analytic continuations by means of complex-conjugate pole models fitted to real solutions. |
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Repositório Institucional da UNESP |
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Excited Hadrons and the Analytical Structure of Bound-State Interaction KernelsWe highlight Hermiticity issues in bound-state equations whose kernels are subject to a highly asymmetric mass and momentum distribution and whose eigenvalue spectrum becomes complex for radially excited states. We trace back the presence of imaginary parts in the eigenvalues and wave functions to truncation artifacts and suggest how they can be eliminated in the case of charmed mesons. The solutions of the gap equation in the complex plane, which play a crucial role in the analytic structure of the Bethe-Salpeter kernel, are discussed for several interaction models and qualitatively and quantitatively compared to analytic continuations by means of complex-conjugate pole models fitted to real solutions.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Patrimonio Autonomo Fondo Nacional de Financiamiento para la Ciencia, la Tecnologia y la Innovacion, Francisco Jose de CaldasSostenibilidad-UDEA (Colombia)Univ Cruzeiro Sul, Lab Fis Teor & Computac, Rua Galvao Bueno 868, BR-01506000 Sao Paulo, SP, BrazilUniv Estadual Paulista, Inst Fis Teor, Rua Dr Bento Teobaldo Ferraz 271 Bloco 2, BR-01140070 Sao Paulo, SP, BrazilUniv Antioquia, Inst Fis, Calle 70,52-21, Medellin, ColombiaUniv Estadual Paulista, Inst Fis Teor, Rua Dr Bento Teobaldo Ferraz 271 Bloco 2, BR-01140070 Sao Paulo, SP, BrazilFAPESP: 2013/01907-0FAPESP: 2013/16088-4CNPq: 305894/2009-9CNPq: 458371/2014-9CNPq: 305852/2014-0SpringerUniv Cruzeiro SulUniversidade Estadual Paulista (Unesp)Univ AntioquiaEl-Bennich, BrunoKrein, Gastao [UNESP]Rojas, EduardoSerna, Fernando E. [UNESP]2018-11-26T17:06:33Z2018-11-26T17:06:33Z2016-10-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article955-963application/pdfhttp://dx.doi.org/10.1007/s00601-016-1133-xFew-body Systems. Wien: Springer Wien, v. 57, n. 10, p. 955-963, 2016.0177-7963http://hdl.handle.net/11449/16202210.1007/s00601-016-1133-xWOS:000384882800012WOS000384882800012.pdfWeb of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengFew-body Systems0,460info:eu-repo/semantics/openAccess2024-01-27T07:00:45Zoai:repositorio.unesp.br:11449/162022Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-01-27T07:00:45Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Excited Hadrons and the Analytical Structure of Bound-State Interaction Kernels |
title |
Excited Hadrons and the Analytical Structure of Bound-State Interaction Kernels |
spellingShingle |
Excited Hadrons and the Analytical Structure of Bound-State Interaction Kernels El-Bennich, Bruno |
title_short |
Excited Hadrons and the Analytical Structure of Bound-State Interaction Kernels |
title_full |
Excited Hadrons and the Analytical Structure of Bound-State Interaction Kernels |
title_fullStr |
Excited Hadrons and the Analytical Structure of Bound-State Interaction Kernels |
title_full_unstemmed |
Excited Hadrons and the Analytical Structure of Bound-State Interaction Kernels |
title_sort |
Excited Hadrons and the Analytical Structure of Bound-State Interaction Kernels |
author |
El-Bennich, Bruno |
author_facet |
El-Bennich, Bruno Krein, Gastao [UNESP] Rojas, Eduardo Serna, Fernando E. [UNESP] |
author_role |
author |
author2 |
Krein, Gastao [UNESP] Rojas, Eduardo Serna, Fernando E. [UNESP] |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Univ Cruzeiro Sul Universidade Estadual Paulista (Unesp) Univ Antioquia |
dc.contributor.author.fl_str_mv |
El-Bennich, Bruno Krein, Gastao [UNESP] Rojas, Eduardo Serna, Fernando E. [UNESP] |
description |
We highlight Hermiticity issues in bound-state equations whose kernels are subject to a highly asymmetric mass and momentum distribution and whose eigenvalue spectrum becomes complex for radially excited states. We trace back the presence of imaginary parts in the eigenvalues and wave functions to truncation artifacts and suggest how they can be eliminated in the case of charmed mesons. The solutions of the gap equation in the complex plane, which play a crucial role in the analytic structure of the Bethe-Salpeter kernel, are discussed for several interaction models and qualitatively and quantitatively compared to analytic continuations by means of complex-conjugate pole models fitted to real solutions. |
publishDate |
2016 |
dc.date.none.fl_str_mv |
2016-10-01 2018-11-26T17:06:33Z 2018-11-26T17:06:33Z |
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/s00601-016-1133-x Few-body Systems. Wien: Springer Wien, v. 57, n. 10, p. 955-963, 2016. 0177-7963 http://hdl.handle.net/11449/162022 10.1007/s00601-016-1133-x WOS:000384882800012 WOS000384882800012.pdf |
url |
http://dx.doi.org/10.1007/s00601-016-1133-x http://hdl.handle.net/11449/162022 |
identifier_str_mv |
Few-body Systems. Wien: Springer Wien, v. 57, n. 10, p. 955-963, 2016. 0177-7963 10.1007/s00601-016-1133-x WOS:000384882800012 WOS000384882800012.pdf |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Few-body Systems 0,460 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
955-963 application/pdf |
dc.publisher.none.fl_str_mv |
Springer |
publisher.none.fl_str_mv |
Springer |
dc.source.none.fl_str_mv |
Web of Science 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_ |
1803650370694545408 |