About the validity of complex mass scheme for the Δ resonance and higher energy region approaches

Autores
Barbero, César Alberto; Mariano, Alejandro Edgardo
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
It is a well known fact that when a resonance (R) is produced and decays, its unperturbed propagator will be singular at p2 mR = 2 when it appears in an s-type Feynman pole graph. Nevertheless this is not a problem, since i must be dressed by the successive re-interactions of the resonance with itself to all order-nucleon contributions. Recently, we have shown that within the one-loop approximation for the absorptive part it is possible to justify the use of the complex-mass description m → m-i⌈/2 over the unperturbed propagator, adopted in previous calculations to treat pionnucleon elastic and radiative scattering, and photo and weak pion production in the resonance region. Here we discuss the limits of the validity of this approximation, since in actual calculations we must go over this range. We show that, when the resonance energy is increased above p2 ∼1400 MeV, this approach becomes invalid and an alternative approximation should be considered. In addition, we discuss the usual energy dependent width approximation, present in several actual isobar models used to analyze the lastneutrino scattering experiments, and show that also it could be unappropriate.
Fil: Barbero, César Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina
Fil: Mariano, Alejandro Edgardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina
Materia
Complex Mass Scheme
Delta Resonance
Dressed Propagator
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/54206
Acceder
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network_name_str CONICET Digital (CONICET)
spelling About the validity of complex mass scheme for the Δ resonance and higher energy region approachesBarbero, César AlbertoMariano, Alejandro EdgardoComplex Mass SchemeDelta ResonanceDressed Propagatorhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1It is a well known fact that when a resonance (R) is produced and decays, its unperturbed propagator will be singular at p2 mR = 2 when it appears in an s-type Feynman pole graph. Nevertheless this is not a problem, since i must be dressed by the successive re-interactions of the resonance with itself to all order-nucleon contributions. Recently, we have shown that within the one-loop approximation for the absorptive part it is possible to justify the use of the complex-mass description m → m-i⌈/2 over the unperturbed propagator, adopted in previous calculations to treat pionnucleon elastic and radiative scattering, and photo and weak pion production in the resonance region. Here we discuss the limits of the validity of this approximation, since in actual calculations we must go over this range. We show that, when the resonance energy is increased above p2 ∼1400 MeV, this approach becomes invalid and an alternative approximation should be considered. In addition, we discuss the usual energy dependent width approximation, present in several actual isobar models used to analyze the lastneutrino scattering experiments, and show that also it could be unappropriate.Fil: Barbero, César Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; ArgentinaFil: Mariano, Alejandro Edgardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; ArgentinaIOP Publishing2015-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/54206Barbero, César Alberto; Mariano, Alejandro Edgardo; About the validity of complex mass scheme for the Δ resonance and higher energy region approaches; IOP Publishing; Journal Of Physics G-nuclear And Particle Physics; 42; 10; 9-2015; 1-120305-46160954-3899CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/0954-3899/42/10/105104/info:eu-repo/semantics/altIdentifier/doi/10.1088/0954-3899/42/10/105104info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T12:18:18Zoai:ri.conicet.gov.ar:11336/54206instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-22 12:18:18.363CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv About the validity of complex mass scheme for the Δ resonance and higher energy region approaches
title About the validity of complex mass scheme for the Δ resonance and higher energy region approaches
spellingShingle About the validity of complex mass scheme for the Δ resonance and higher energy region approaches
Barbero, César Alberto
Complex Mass Scheme
Delta Resonance
Dressed Propagator
title_short About the validity of complex mass scheme for the Δ resonance and higher energy region approaches
title_full About the validity of complex mass scheme for the Δ resonance and higher energy region approaches
title_fullStr About the validity of complex mass scheme for the Δ resonance and higher energy region approaches
title_full_unstemmed About the validity of complex mass scheme for the Δ resonance and higher energy region approaches
title_sort About the validity of complex mass scheme for the Δ resonance and higher energy region approaches
dc.creator.none.fl_str_mv Barbero, César Alberto
Mariano, Alejandro Edgardo
author Barbero, César Alberto
author_facet Barbero, César Alberto
Mariano, Alejandro Edgardo
author_role author
author2 Mariano, Alejandro Edgardo
author2_role author
dc.subject.none.fl_str_mv Complex Mass Scheme
Delta Resonance
Dressed Propagator
topic Complex Mass Scheme
Delta Resonance
Dressed Propagator
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv It is a well known fact that when a resonance (R) is produced and decays, its unperturbed propagator will be singular at p2 mR = 2 when it appears in an s-type Feynman pole graph. Nevertheless this is not a problem, since i must be dressed by the successive re-interactions of the resonance with itself to all order-nucleon contributions. Recently, we have shown that within the one-loop approximation for the absorptive part it is possible to justify the use of the complex-mass description m → m-i⌈/2 over the unperturbed propagator, adopted in previous calculations to treat pionnucleon elastic and radiative scattering, and photo and weak pion production in the resonance region. Here we discuss the limits of the validity of this approximation, since in actual calculations we must go over this range. We show that, when the resonance energy is increased above p2 ∼1400 MeV, this approach becomes invalid and an alternative approximation should be considered. In addition, we discuss the usual energy dependent width approximation, present in several actual isobar models used to analyze the lastneutrino scattering experiments, and show that also it could be unappropriate.
Fil: Barbero, César Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina
Fil: Mariano, Alejandro Edgardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina
description It is a well known fact that when a resonance (R) is produced and decays, its unperturbed propagator will be singular at p2 mR = 2 when it appears in an s-type Feynman pole graph. Nevertheless this is not a problem, since i must be dressed by the successive re-interactions of the resonance with itself to all order-nucleon contributions. Recently, we have shown that within the one-loop approximation for the absorptive part it is possible to justify the use of the complex-mass description m → m-i⌈/2 over the unperturbed propagator, adopted in previous calculations to treat pionnucleon elastic and radiative scattering, and photo and weak pion production in the resonance region. Here we discuss the limits of the validity of this approximation, since in actual calculations we must go over this range. We show that, when the resonance energy is increased above p2 ∼1400 MeV, this approach becomes invalid and an alternative approximation should be considered. In addition, we discuss the usual energy dependent width approximation, present in several actual isobar models used to analyze the lastneutrino scattering experiments, and show that also it could be unappropriate.
publishDate 2015
dc.date.none.fl_str_mv 2015-09
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
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://hdl.handle.net/11336/54206
Barbero, César Alberto; Mariano, Alejandro Edgardo; About the validity of complex mass scheme for the Δ resonance and higher energy region approaches; IOP Publishing; Journal Of Physics G-nuclear And Particle Physics; 42; 10; 9-2015; 1-12
0305-4616
0954-3899
CONICET Digital
CONICET
url http://hdl.handle.net/11336/54206
identifier_str_mv Barbero, César Alberto; Mariano, Alejandro Edgardo; About the validity of complex mass scheme for the Δ resonance and higher energy region approaches; IOP Publishing; Journal Of Physics G-nuclear And Particle Physics; 42; 10; 9-2015; 1-12
0305-4616
0954-3899
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/0954-3899/42/10/105104/
info:eu-repo/semantics/altIdentifier/doi/10.1088/0954-3899/42/10/105104
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv IOP Publishing
publisher.none.fl_str_mv IOP Publishing
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 12.982451

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