Higher derivative terms in the π Δ N interaction: Some phenomenological consequences

Autores
Mariano, Alejandro Edgardo; Badagnani, Daniel Omar; Barbero, César Alberto; Berrueta Martínez, Estefanía
Año de publicación
2019
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper, we implement the use of a πN1(1232) vertex interaction containing both first- and second-order derivative terms, as required by renormalization and power-counting considerations. As was previously shown, both interactions present quantization shortcomings but can be used in a pertubative calculation. Our results indicate that the usual π derivative plus the spin-3/2 gauge invariant (derivative also in the 1 field) should be included in amplitude calculations, as also all higher derivative interactions respecting chiral invariance. We show that both interactions make essentially the same resonant contribution to the elastic π+ p cross section, so changing the ratio between both coupling constants amounts to a correction of the background. The elastic π+ p cross section up to 300 MeV changes only mildly when that ratio is changed, but the total π− p scattering, which has poor fit within both interactions separately, can be much improved in the same energy range by tuning the ratio between both coupling constants.
Instituto de Física La Plata
Materia
Física
Particles & fields
Nuclear physics
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/137741

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network_name_str SEDICI (UNLP)
spelling Higher derivative terms in the π Δ N interaction: Some phenomenological consequencesMariano, Alejandro EdgardoBadagnani, Daniel OmarBarbero, César AlbertoBerrueta Martínez, EstefaníaFísicaParticles & fieldsNuclear physicsIn this paper, we implement the use of a πN1(1232) vertex interaction containing both first- and second-order derivative terms, as required by renormalization and power-counting considerations. As was previously shown, both interactions present quantization shortcomings but can be used in a pertubative calculation. Our results indicate that the usual π derivative plus the spin-3/2 gauge invariant (derivative also in the 1 field) should be included in amplitude calculations, as also all higher derivative interactions respecting chiral invariance. We show that both interactions make essentially the same resonant contribution to the elastic π+ p cross section, so changing the ratio between both coupling constants amounts to a correction of the background. The elastic π+ p cross section up to 300 MeV changes only mildly when that ratio is changed, but the total π− p scattering, which has poor fit within both interactions separately, can be much improved in the same energy range by tuning the ratio between both coupling constants.Instituto de Física La Plata2019-08-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/137741enginfo:eu-repo/semantics/altIdentifier/issn/2469-9985info:eu-repo/semantics/altIdentifier/issn/2469-9993info:eu-repo/semantics/altIdentifier/doi/10.1103/physrevc.100.024001info:eu-repo/semantics/altIdentifier/arxiv/1711.03820info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:32:26Zoai:sedici.unlp.edu.ar:10915/137741Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:32:27.236SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Higher derivative terms in the π Δ N interaction: Some phenomenological consequences
title Higher derivative terms in the π Δ N interaction: Some phenomenological consequences
spellingShingle Higher derivative terms in the π Δ N interaction: Some phenomenological consequences
Mariano, Alejandro Edgardo
Física
Particles & fields
Nuclear physics
title_short Higher derivative terms in the π Δ N interaction: Some phenomenological consequences
title_full Higher derivative terms in the π Δ N interaction: Some phenomenological consequences
title_fullStr Higher derivative terms in the π Δ N interaction: Some phenomenological consequences
title_full_unstemmed Higher derivative terms in the π Δ N interaction: Some phenomenological consequences
title_sort Higher derivative terms in the π Δ N interaction: Some phenomenological consequences
dc.creator.none.fl_str_mv Mariano, Alejandro Edgardo
Badagnani, Daniel Omar
Barbero, César Alberto
Berrueta Martínez, Estefanía
author Mariano, Alejandro Edgardo
author_facet Mariano, Alejandro Edgardo
Badagnani, Daniel Omar
Barbero, César Alberto
Berrueta Martínez, Estefanía
author_role author
author2 Badagnani, Daniel Omar
Barbero, César Alberto
Berrueta Martínez, Estefanía
author2_role author
author
author
dc.subject.none.fl_str_mv Física
Particles & fields
Nuclear physics
topic Física
Particles & fields
Nuclear physics
dc.description.none.fl_txt_mv In this paper, we implement the use of a πN1(1232) vertex interaction containing both first- and second-order derivative terms, as required by renormalization and power-counting considerations. As was previously shown, both interactions present quantization shortcomings but can be used in a pertubative calculation. Our results indicate that the usual π derivative plus the spin-3/2 gauge invariant (derivative also in the 1 field) should be included in amplitude calculations, as also all higher derivative interactions respecting chiral invariance. We show that both interactions make essentially the same resonant contribution to the elastic π+ p cross section, so changing the ratio between both coupling constants amounts to a correction of the background. The elastic π+ p cross section up to 300 MeV changes only mildly when that ratio is changed, but the total π− p scattering, which has poor fit within both interactions separately, can be much improved in the same energy range by tuning the ratio between both coupling constants.
Instituto de Física La Plata
description In this paper, we implement the use of a πN1(1232) vertex interaction containing both first- and second-order derivative terms, as required by renormalization and power-counting considerations. As was previously shown, both interactions present quantization shortcomings but can be used in a pertubative calculation. Our results indicate that the usual π derivative plus the spin-3/2 gauge invariant (derivative also in the 1 field) should be included in amplitude calculations, as also all higher derivative interactions respecting chiral invariance. We show that both interactions make essentially the same resonant contribution to the elastic π+ p cross section, so changing the ratio between both coupling constants amounts to a correction of the background. The elastic π+ p cross section up to 300 MeV changes only mildly when that ratio is changed, but the total π− p scattering, which has poor fit within both interactions separately, can be much improved in the same energy range by tuning the ratio between both coupling constants.
publishDate 2019
dc.date.none.fl_str_mv 2019-08-01
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/137741
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dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/2469-9985
info:eu-repo/semantics/altIdentifier/issn/2469-9993
info:eu-repo/semantics/altIdentifier/doi/10.1103/physrevc.100.024001
info:eu-repo/semantics/altIdentifier/arxiv/1711.03820
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
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reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
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repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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