Pion-pion scattering amplitude. IV. Improved analysis with once subtracted Roy-like equations up to 1100 MeV

We improve our description of π π scattering data by imposing additional requirements on our previous fits, in the form of once-subtracted Roy-like equations, while extending our analysis up to 1100 MeV. We provide simple and ready to use parametrizations of the amplitude. In addition, we present a...

ver descrição completa

Detalhes bibliográficos
Autores: Garcia-Martin, R., Kamiński, Robert, Peláez Sagredo, José Ramón, Ruiz De Elvira Carrascal, Jacobo, Yndurain, F.J.
Formato: artículo
Fecha de publicación:2011
País:España
Recursos:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/44832
Acesso em linha:https://hdl.handle.net/20.500.14352/44832
Access Level:acceso abierto
Palavra-chave:51-73
Phase-sift analysis
Chiral perturbation-theory
Gev-C
Extraordinary hadrons
Momentum-transfer
π π mplitudes
High statistics
Decays
Region
π& π
Física-Modelos matemáticos
Física matemática
id ES_1fbc40dca4bf23815bcadeecb840459b
oai_identifier_str oai:docta.ucm.es:20.500.14352/44832
network_acronym_str ES
network_name_str España
repository_id_str
spelling Pion-pion scattering amplitude. IV. Improved analysis with once subtracted Roy-like equations up to 1100 MeVGarcia-Martin, R.Kamiński, RobertPeláez Sagredo, José RamónRuiz De Elvira Carrascal, JacoboYndurain, F.J.51-73Phase-sift analysisChiral perturbation-theoryGev-CExtraordinary hadronsMomentum-transferπ π mplitudesHigh statisticsDecaysRegionπ& πFísica-Modelos matemáticosFísica matemáticaWe improve our description of π π scattering data by imposing additional requirements on our previous fits, in the form of once-subtracted Roy-like equations, while extending our analysis up to 1100 MeV. We provide simple and ready to use parametrizations of the amplitude. In addition, we present a detailed description and derivation of these once-subtracted dispersion relations that, in the 450 to 1100 MeV region, provide an additional constraint which is much stronger than our previous requirements of forward dispersion relations and standard Roy equations. The ensuing constrained amplitudes describe the existing data with rather small uncertainties in the whole region from threshold up to 1100 MeV, while satisfying very stringent dispersive constraints. For the S0 wave, this requires an improved matching of the low and high energy parametrizations. Also for this wave we have considered the latest low energy K_(l4) decay results, including their isospin violation correction, and we have removed some controversial data points. These changes on the data translate into better determinations of threshold and subthreshold parameters which remove almost alldisagreement with previous chiral perturbation theory and Roy equation calculations below 800 MeV. Finally, our results favor the dip structure of the S0 inelasticity around the controversial 1000 MeV region.Amer Physical SocUniversidad Complutense de Madrid20112011-04-0420112011-04-04journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/44832reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/448322026-06-02T12:44:21Z
dc.title.none.fl_str_mv Pion-pion scattering amplitude. IV. Improved analysis with once subtracted Roy-like equations up to 1100 MeV
title Pion-pion scattering amplitude. IV. Improved analysis with once subtracted Roy-like equations up to 1100 MeV
spellingShingle Pion-pion scattering amplitude. IV. Improved analysis with once subtracted Roy-like equations up to 1100 MeV
Garcia-Martin, R.
51-73
Phase-sift analysis
Chiral perturbation-theory
Gev-C
Extraordinary hadrons
Momentum-transfer
π π mplitudes
High statistics
Decays
Region
π& π
Física-Modelos matemáticos
Física matemática
title_short Pion-pion scattering amplitude. IV. Improved analysis with once subtracted Roy-like equations up to 1100 MeV
title_full Pion-pion scattering amplitude. IV. Improved analysis with once subtracted Roy-like equations up to 1100 MeV
title_fullStr Pion-pion scattering amplitude. IV. Improved analysis with once subtracted Roy-like equations up to 1100 MeV
title_full_unstemmed Pion-pion scattering amplitude. IV. Improved analysis with once subtracted Roy-like equations up to 1100 MeV
title_sort Pion-pion scattering amplitude. IV. Improved analysis with once subtracted Roy-like equations up to 1100 MeV
dc.creator.none.fl_str_mv Garcia-Martin, R.
Kamiński, Robert
Peláez Sagredo, José Ramón
Ruiz De Elvira Carrascal, Jacobo
Yndurain, F.J.
author Garcia-Martin, R.
author_facet Garcia-Martin, R.
Kamiński, Robert
Peláez Sagredo, José Ramón
Ruiz De Elvira Carrascal, Jacobo
Yndurain, F.J.
author_role author
author2 Kamiński, Robert
Peláez Sagredo, José Ramón
Ruiz De Elvira Carrascal, Jacobo
Yndurain, F.J.
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 51-73
Phase-sift analysis
Chiral perturbation-theory
Gev-C
Extraordinary hadrons
Momentum-transfer
π π mplitudes
High statistics
Decays
Region
π& π
Física-Modelos matemáticos
Física matemática
topic 51-73
Phase-sift analysis
Chiral perturbation-theory
Gev-C
Extraordinary hadrons
Momentum-transfer
π π mplitudes
High statistics
Decays
Region
π& π
Física-Modelos matemáticos
Física matemática
description We improve our description of π π scattering data by imposing additional requirements on our previous fits, in the form of once-subtracted Roy-like equations, while extending our analysis up to 1100 MeV. We provide simple and ready to use parametrizations of the amplitude. In addition, we present a detailed description and derivation of these once-subtracted dispersion relations that, in the 450 to 1100 MeV region, provide an additional constraint which is much stronger than our previous requirements of forward dispersion relations and standard Roy equations. The ensuing constrained amplitudes describe the existing data with rather small uncertainties in the whole region from threshold up to 1100 MeV, while satisfying very stringent dispersive constraints. For the S0 wave, this requires an improved matching of the low and high energy parametrizations. Also for this wave we have considered the latest low energy K_(l4) decay results, including their isospin violation correction, and we have removed some controversial data points. These changes on the data translate into better determinations of threshold and subthreshold parameters which remove almost alldisagreement with previous chiral perturbation theory and Roy equation calculations below 800 MeV. Finally, our results favor the dip structure of the S0 inelasticity around the controversial 1000 MeV region.
publishDate 2011
dc.date.none.fl_str_mv 2011
2011-04-04
2011
2011-04-04
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/20.500.14352/44832
url https://hdl.handle.net/20.500.14352/44832
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
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
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Amer Physical Soc
publisher.none.fl_str_mv Amer Physical Soc
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_ 1869404417981153280
score 15.300719

Registos relacionados