Effects of Antineutrino mass on β⁻-Decay Rates Calculated Within the Gross Theory of Beta Decay

Autores
Azevedo, M. R.; Ferreira, R. C.; Dimarco, A. J.; Barbero, César Alberto; Samana, Arturo Rodolfo; Possidonio, D. N.
Año de publicación
2020
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We analyze the effect of the antineutrino mass over the β⁻-decay rates calculated within the scheme of the Gross Theory of Beta Decay (GTBD). We give a non-null value to the mass of the antineutrino participating in β⁻-decay, (A,Z) → (A,Z+1) + e⁻ + ͞νₑ, which is usually neglected because we know it is small compared with electron mass. We have slightly modified the GTDB by inserting the antineutrino mass in the formalism. We have adopted a Gaussian energy distribution function with the axial-vector weak coupling constant gA = 1, as well as a new set of the adjustable parameter σN related to the standard deviation for the Gamow-Teller resonance, updated experimental mass defects, and also an improved approximation for the Fermi function. Our sample consists of a set of 94 nuclei of interest in the pre-supernova phase, which have experimental data in terrestrial conditions available in the Letter of Nuclide. We have compared the calculation without the inclusion of the antineutrino mass with that adopting a really overestimated value of 50 keV for it to illustrate the effect on the decay rates. We have shown that they are improved only by approximately one per thousand in this case. We conclude that the effect of the antineutrino mass on decay rates is not relevant.
Facultad de Ciencias Exactas
Instituto de Física La Plata
Materia
Física
Gross Theory
β⁻-decay
Antineutrino mass
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:10915/135232

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network_name_str SEDICI (UNLP)
spelling Effects of Antineutrino mass on β⁻-Decay Rates Calculated Within the Gross Theory of Beta DecayAzevedo, M. R.Ferreira, R. C.Dimarco, A. J.Barbero, César AlbertoSamana, Arturo RodolfoPossidonio, D. N.FísicaGross Theoryβ⁻-decayAntineutrino massWe analyze the effect of the antineutrino mass over the β⁻-decay rates calculated within the scheme of the Gross Theory of Beta Decay (GTBD). We give a non-null value to the mass of the antineutrino participating in β⁻-decay, (A,Z) → (A,Z+1) + e⁻ + ͞νₑ, which is usually neglected because we know it is small compared with electron mass. We have slightly modified the GTDB by inserting the antineutrino mass in the formalism. We have adopted a Gaussian energy distribution function with the axial-vector weak coupling constant g<sub>A</sub> = 1, as well as a new set of the adjustable parameter σ<sub>N</sub> related to the standard deviation for the Gamow-Teller resonance, updated experimental mass defects, and also an improved approximation for the Fermi function. Our sample consists of a set of 94 nuclei of interest in the pre-supernova phase, which have experimental data in terrestrial conditions available in the Letter of Nuclide. We have compared the calculation without the inclusion of the antineutrino mass with that adopting a really overestimated value of 50 keV for it to illustrate the effect on the decay rates. We have shown that they are improved only by approximately one per thousand in this case. We conclude that the effect of the antineutrino mass on decay rates is not relevant.Facultad de Ciencias ExactasInstituto de Física La Plata2020-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf57-63http://sedici.unlp.edu.ar/handle/10915/135232enginfo:eu-repo/semantics/altIdentifier/issn/0103-9733info:eu-repo/semantics/altIdentifier/issn/1678-4448info:eu-repo/semantics/altIdentifier/doi/10.1007/s13538-019-00723-zinfo: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:UNLP2025-09-29T11:31:57Zoai:sedici.unlp.edu.ar:10915/135232Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:31:57.406SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Effects of Antineutrino mass on β⁻-Decay Rates Calculated Within the Gross Theory of Beta Decay
title Effects of Antineutrino mass on β⁻-Decay Rates Calculated Within the Gross Theory of Beta Decay
spellingShingle Effects of Antineutrino mass on β⁻-Decay Rates Calculated Within the Gross Theory of Beta Decay
Azevedo, M. R.
Física
Gross Theory
β⁻-decay
Antineutrino mass
title_short Effects of Antineutrino mass on β⁻-Decay Rates Calculated Within the Gross Theory of Beta Decay
title_full Effects of Antineutrino mass on β⁻-Decay Rates Calculated Within the Gross Theory of Beta Decay
title_fullStr Effects of Antineutrino mass on β⁻-Decay Rates Calculated Within the Gross Theory of Beta Decay
title_full_unstemmed Effects of Antineutrino mass on β⁻-Decay Rates Calculated Within the Gross Theory of Beta Decay
title_sort Effects of Antineutrino mass on β⁻-Decay Rates Calculated Within the Gross Theory of Beta Decay
dc.creator.none.fl_str_mv Azevedo, M. R.
Ferreira, R. C.
Dimarco, A. J.
Barbero, César Alberto
Samana, Arturo Rodolfo
Possidonio, D. N.
author Azevedo, M. R.
author_facet Azevedo, M. R.
Ferreira, R. C.
Dimarco, A. J.
Barbero, César Alberto
Samana, Arturo Rodolfo
Possidonio, D. N.
author_role author
author2 Ferreira, R. C.
Dimarco, A. J.
Barbero, César Alberto
Samana, Arturo Rodolfo
Possidonio, D. N.
author2_role author
author
author
author
author
dc.subject.none.fl_str_mv Física
Gross Theory
β⁻-decay
Antineutrino mass
topic Física
Gross Theory
β⁻-decay
Antineutrino mass
dc.description.none.fl_txt_mv We analyze the effect of the antineutrino mass over the β⁻-decay rates calculated within the scheme of the Gross Theory of Beta Decay (GTBD). We give a non-null value to the mass of the antineutrino participating in β⁻-decay, (A,Z) → (A,Z+1) + e⁻ + ͞νₑ, which is usually neglected because we know it is small compared with electron mass. We have slightly modified the GTDB by inserting the antineutrino mass in the formalism. We have adopted a Gaussian energy distribution function with the axial-vector weak coupling constant g<sub>A</sub> = 1, as well as a new set of the adjustable parameter σ<sub>N</sub> related to the standard deviation for the Gamow-Teller resonance, updated experimental mass defects, and also an improved approximation for the Fermi function. Our sample consists of a set of 94 nuclei of interest in the pre-supernova phase, which have experimental data in terrestrial conditions available in the Letter of Nuclide. We have compared the calculation without the inclusion of the antineutrino mass with that adopting a really overestimated value of 50 keV for it to illustrate the effect on the decay rates. We have shown that they are improved only by approximately one per thousand in this case. We conclude that the effect of the antineutrino mass on decay rates is not relevant.
Facultad de Ciencias Exactas
Instituto de Física La Plata
description We analyze the effect of the antineutrino mass over the β⁻-decay rates calculated within the scheme of the Gross Theory of Beta Decay (GTBD). We give a non-null value to the mass of the antineutrino participating in β⁻-decay, (A,Z) → (A,Z+1) + e⁻ + ͞νₑ, which is usually neglected because we know it is small compared with electron mass. We have slightly modified the GTDB by inserting the antineutrino mass in the formalism. We have adopted a Gaussian energy distribution function with the axial-vector weak coupling constant g<sub>A</sub> = 1, as well as a new set of the adjustable parameter σ<sub>N</sub> related to the standard deviation for the Gamow-Teller resonance, updated experimental mass defects, and also an improved approximation for the Fermi function. Our sample consists of a set of 94 nuclei of interest in the pre-supernova phase, which have experimental data in terrestrial conditions available in the Letter of Nuclide. We have compared the calculation without the inclusion of the antineutrino mass with that adopting a really overestimated value of 50 keV for it to illustrate the effect on the decay rates. We have shown that they are improved only by approximately one per thousand in this case. We conclude that the effect of the antineutrino mass on decay rates is not relevant.
publishDate 2020
dc.date.none.fl_str_mv 2020-02
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/10915/135232
url http://sedici.unlp.edu.ar/handle/10915/135232
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0103-9733
info:eu-repo/semantics/altIdentifier/issn/1678-4448
info:eu-repo/semantics/altIdentifier/doi/10.1007/s13538-019-00723-z
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
57-63
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
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