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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/54206
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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 Técnicas2025-09-29T10:45:02Zoai: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:34982025-09-29 10:45:03.002CONICET 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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13.070432 |