Phase-shift definition for pion-nucleon scattering from chiral perturbation theory

Detalhes bibliográficos
Autor(a) principal: Cavalcante,Isabela P.
Data de Publicação: 2004
Outros Autores: Borges,J. Sá
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Brazilian Journal of Physics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332004000200024
Resumo: Chiral Perturbation Theory is considered as a very precise method when applied to pion-nucleon scattering near threshold and in the unphysical region since in these cases the pion momenta are small. In this framework, third order calculation yields a non-relativistic scattering amplitude with nine free parameters. From the fact that the resulting partial-wave amplitudes do not respect elastic unitarity relation, one has that the phase-shift definition is ambiguous. In this article, we present the comparison of the model with experimental data for two different phase-shift formulas and we conclude that the results are very sensitive to phase-shift definition.
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spelling Phase-shift definition for pion-nucleon scattering from chiral perturbation theoryChiral Perturbation Theory is considered as a very precise method when applied to pion-nucleon scattering near threshold and in the unphysical region since in these cases the pion momenta are small. In this framework, third order calculation yields a non-relativistic scattering amplitude with nine free parameters. From the fact that the resulting partial-wave amplitudes do not respect elastic unitarity relation, one has that the phase-shift definition is ambiguous. In this article, we present the comparison of the model with experimental data for two different phase-shift formulas and we conclude that the results are very sensitive to phase-shift definition.Sociedade Brasileira de Física2004-03-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332004000200024Brazilian Journal of Physics v.34 n.1a 2004reponame:Brazilian Journal of Physicsinstname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S0103-97332004000200024info:eu-repo/semantics/openAccessCavalcante,Isabela P.Borges,J. Sáeng2004-05-11T00:00:00Zoai:scielo:S0103-97332004000200024Revistahttp://www.sbfisica.org.br/v1/home/index.php/pt/ONGhttps://old.scielo.br/oai/scielo-oai.phpsbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br1678-44480103-9733opendoar:2004-05-11T00:00Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)false
dc.title.none.fl_str_mv Phase-shift definition for pion-nucleon scattering from chiral perturbation theory
title Phase-shift definition for pion-nucleon scattering from chiral perturbation theory
spellingShingle Phase-shift definition for pion-nucleon scattering from chiral perturbation theory
Cavalcante,Isabela P.
title_short Phase-shift definition for pion-nucleon scattering from chiral perturbation theory
title_full Phase-shift definition for pion-nucleon scattering from chiral perturbation theory
title_fullStr Phase-shift definition for pion-nucleon scattering from chiral perturbation theory
title_full_unstemmed Phase-shift definition for pion-nucleon scattering from chiral perturbation theory
title_sort Phase-shift definition for pion-nucleon scattering from chiral perturbation theory
author Cavalcante,Isabela P.
author_facet Cavalcante,Isabela P.
Borges,J. Sá
author_role author
author2 Borges,J. Sá
author2_role author
dc.contributor.author.fl_str_mv Cavalcante,Isabela P.
Borges,J. Sá
description Chiral Perturbation Theory is considered as a very precise method when applied to pion-nucleon scattering near threshold and in the unphysical region since in these cases the pion momenta are small. In this framework, third order calculation yields a non-relativistic scattering amplitude with nine free parameters. From the fact that the resulting partial-wave amplitudes do not respect elastic unitarity relation, one has that the phase-shift definition is ambiguous. In this article, we present the comparison of the model with experimental data for two different phase-shift formulas and we conclude that the results are very sensitive to phase-shift definition.
publishDate 2004
dc.date.none.fl_str_mv 2004-03-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332004000200024
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332004000200024
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0103-97332004000200024
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Física
publisher.none.fl_str_mv Sociedade Brasileira de Física
dc.source.none.fl_str_mv Brazilian Journal of Physics v.34 n.1a 2004
reponame:Brazilian Journal of Physics
instname:Sociedade Brasileira de Física (SBF)
instacron:SBF
instname_str Sociedade Brasileira de Física (SBF)
instacron_str SBF
institution SBF
reponame_str Brazilian Journal of Physics
collection Brazilian Journal of Physics
repository.name.fl_str_mv Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)
repository.mail.fl_str_mv sbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br
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