pi pi -> K [K^bar] scattering up to 1.47 GeV with hyperbolic dispersion relations

In this work we provide a dispersive analysis of ππ -> K [K^bar] scattering. For this purpose we present a set of partial-wave hyperbolic dispersion relations using a family of hyperbolas that maximizes the applicability range of the hyperbolic dispersive representation, which we have extended up...

Descripción completa

Detalles Bibliográficos
Autores: Peláez Sagredo, José Ramón, Rodas Bilbao, Arkaitz
Tipo de recurso: artículo
Fecha de publicación:2018
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/12960
Acceso en línea:https://hdl.handle.net/20.500.14352/12960
Access Level:acceso abierto
Palabra clave:51-73
Axiomatic analyticity domain
Chiral perturbation-theory
Coupled-channel analysis
K scattering
Gev-c
Amplitude analysis
Meson dynamics
Model
resonance
Roy
Física-Modelos matemáticos
Física matemática
id ES_7fe9fc0fc94b69afa0ca4f2a00a98864
oai_identifier_str oai:docta.ucm.es:20.500.14352/12960
network_acronym_str ES
network_name_str España
repository_id_str
spelling pi pi -> K [K^bar] scattering up to 1.47 GeV with hyperbolic dispersion relationsPeláez Sagredo, José RamónRodas Bilbao, Arkaitz51-73Axiomatic analyticity domainChiral perturbation-theoryCoupled-channel analysisK scatteringGev-cAmplitude analysisMeson dynamicsModelresonanceRoyFísica-Modelos matemáticosFísica matemáticaIn this work we provide a dispersive analysis of ππ -> K [K^bar] scattering. For this purpose we present a set of partial-wave hyperbolic dispersion relations using a family of hyperbolas that maximizes the applicability range of the hyperbolic dispersive representation, which we have extended up to 1.47 GeV. We then use these equations first to test simple fits to different and often conflicting data sets, also showing that some of these data and some popular parameterizations of these waves fail to satisfy the dispersive analysis. Our main result is obtained after imposing these new relations as constraints on the data fits. We thus provide simple and precise parameterizations for the S, P and D waves that describe the experimental data from K [K^bar] threshold up to 2 GeV, while being consistent with crossing symmetric partial-wave dispersion relations up to their maximum applicability range of 1.47 GeV. For the S-wave we have found that two solutions describing two conflicting data sets are possible. The dispersion relations also provide a representation for S, P and D waves in the pseudo-physical region.SpringerUniversidad Complutense de Madrid20182018-11-0520182018-11-05journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/12960reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Atribución 3.0 Españahttps://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/129602026-06-02T12:44:21Z
dc.title.none.fl_str_mv pi pi -> K [K^bar] scattering up to 1.47 GeV with hyperbolic dispersion relations
title pi pi -> K [K^bar] scattering up to 1.47 GeV with hyperbolic dispersion relations
spellingShingle pi pi -> K [K^bar] scattering up to 1.47 GeV with hyperbolic dispersion relations
Peláez Sagredo, José Ramón
51-73
Axiomatic analyticity domain
Chiral perturbation-theory
Coupled-channel analysis
K scattering
Gev-c
Amplitude analysis
Meson dynamics
Model
resonance
Roy
Física-Modelos matemáticos
Física matemática
title_short pi pi -> K [K^bar] scattering up to 1.47 GeV with hyperbolic dispersion relations
title_full pi pi -> K [K^bar] scattering up to 1.47 GeV with hyperbolic dispersion relations
title_fullStr pi pi -> K [K^bar] scattering up to 1.47 GeV with hyperbolic dispersion relations
title_full_unstemmed pi pi -> K [K^bar] scattering up to 1.47 GeV with hyperbolic dispersion relations
title_sort pi pi -> K [K^bar] scattering up to 1.47 GeV with hyperbolic dispersion relations
dc.creator.none.fl_str_mv Peláez Sagredo, José Ramón
Rodas Bilbao, Arkaitz
author Peláez Sagredo, José Ramón
author_facet Peláez Sagredo, José Ramón
Rodas Bilbao, Arkaitz
author_role author
author2 Rodas Bilbao, Arkaitz
author2_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 51-73
Axiomatic analyticity domain
Chiral perturbation-theory
Coupled-channel analysis
K scattering
Gev-c
Amplitude analysis
Meson dynamics
Model
resonance
Roy
Física-Modelos matemáticos
Física matemática
topic 51-73
Axiomatic analyticity domain
Chiral perturbation-theory
Coupled-channel analysis
K scattering
Gev-c
Amplitude analysis
Meson dynamics
Model
resonance
Roy
Física-Modelos matemáticos
Física matemática
description In this work we provide a dispersive analysis of ππ -> K [K^bar] scattering. For this purpose we present a set of partial-wave hyperbolic dispersion relations using a family of hyperbolas that maximizes the applicability range of the hyperbolic dispersive representation, which we have extended up to 1.47 GeV. We then use these equations first to test simple fits to different and often conflicting data sets, also showing that some of these data and some popular parameterizations of these waves fail to satisfy the dispersive analysis. Our main result is obtained after imposing these new relations as constraints on the data fits. We thus provide simple and precise parameterizations for the S, P and D waves that describe the experimental data from K [K^bar] threshold up to 2 GeV, while being consistent with crossing symmetric partial-wave dispersion relations up to their maximum applicability range of 1.47 GeV. For the S-wave we have found that two solutions describing two conflicting data sets are possible. The dispersion relations also provide a representation for S, P and D waves in the pseudo-physical region.
publishDate 2018
dc.date.none.fl_str_mv 2018
2018-11-05
2018
2018-11-05
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/12960
url https://hdl.handle.net/20.500.14352/12960
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución 3.0 España
https://creativecommons.org/licenses/by/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución 3.0 España
https://creativecommons.org/licenses/by/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869411859739705344
score 15,300719

Similares en LA Referencia