Partial restoration of spin-isospin SU(4) symmetry and the one-quasiparticle random-phase approximation method in double-β decay
- Autores
- Santos Ferreira, V. dos; Krmpotić, Francisco; Barbero, César Alberto; Samana, Arturo Rodolfo
- Año de publicación
- 2017
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- The one-quasiparticle random-phase approximation (one-QRPA) method is used to describe simultaneously both double-β-decay modes, giving special attention to the partial restoration of spin-isospin SU(4) symmetry. To implement this restoration and to fix the model parameters, we resort to the energetics of Gamow-Teller resonances and to the minima of the single-β+-decay strengths. This makes the theory predictive regarding the ββ2ν decay, producing the 2ν moments in 48Ca, 76Ge, 82Se, 96Zr, 100Mo, 128,130Te, and 150Nd, that are of the same order of magnitude as the experimental ones; however, the agreement with ββ2ν data is only modest. To include contributions coming from induced nuclear weak currents, we extend the ββ0ν-decay formalism employed previously in C. Barbero et al., Nucl. Phys. A 628, 170 (1998), which is based on the Fourier-Bessel expansion. The numerical results for the ββ0ν moments in the above mentioned nuclei are similar to those obtained in other theoretical studies although smaller on average by ∼40%. We attribute this difference basically to the one-QRPA method, employed here for the first time, instead of the currently used two-QRPA method. The difference is partially due also to the way of carrying out the restoration of the spin-isospin symmetry. It is hard to say which is the best way to make this restoration, since the ββ0ν moments are not experimentally measurable. The recipe proposed here is based on physically robust arguments. The numerical uncertainties in the ββ moments, related to (i) their strong dependence on the residual interaction in the particle-particle channel when evaluated within the QRPA, and (ii) lack of proper knowledge of single-particle energies, have been quantified. It is concluded that the partial restoration of the SU(4) symmetry, generated by the residual interaction, is crucial in the description of the ββ decays, regardless of the nuclear model used.
Instituto de Física La Plata - Materia
-
Ciencias Exactas
Física
Nuclear structure & decays
Double beta decay
Neutrinoless double beta decay
Nuclear density functional theory - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by/4.0/
- Repositorio
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/87353
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Partial restoration of spin-isospin SU(4) symmetry and the one-quasiparticle random-phase approximation method in double-β decaySantos Ferreira, V. dosKrmpotić, FranciscoBarbero, César AlbertoSamana, Arturo RodolfoCiencias ExactasFísicaNuclear structure & decaysDouble beta decayNeutrinoless double beta decayNuclear density functional theoryThe one-quasiparticle random-phase approximation (one-QRPA) method is used to describe simultaneously both double-β-decay modes, giving special attention to the partial restoration of spin-isospin SU(4) symmetry. To implement this restoration and to fix the model parameters, we resort to the energetics of Gamow-Teller resonances and to the minima of the single-β+-decay strengths. This makes the theory predictive regarding the ββ2ν decay, producing the 2ν moments in <sup>48</sup>Ca, <sup>76</sup>Ge, <sup>82</sup>Se, <sup>96</sup>Zr, <sup>100</sup>Mo, <sup>128,130</sup>Te, and <sup>150</sup>Nd, that are of the same order of magnitude as the experimental ones; however, the agreement with ββ2ν data is only modest. To include contributions coming from induced nuclear weak currents, we extend the ββ0ν-decay formalism employed previously in C. Barbero et al., Nucl. Phys. A 628, 170 (1998), which is based on the Fourier-Bessel expansion. The numerical results for the ββ0ν moments in the above mentioned nuclei are similar to those obtained in other theoretical studies although smaller on average by ∼40%. We attribute this difference basically to the one-QRPA method, employed here for the first time, instead of the currently used two-QRPA method. The difference is partially due also to the way of carrying out the restoration of the spin-isospin symmetry. It is hard to say which is the best way to make this restoration, since the ββ0ν moments are not experimentally measurable. The recipe proposed here is based on physically robust arguments. The numerical uncertainties in the ββ moments, related to (i) their strong dependence on the residual interaction in the particle-particle channel when evaluated within the QRPA, and (ii) lack of proper knowledge of single-particle energies, have been quantified. It is concluded that the partial restoration of the SU(4) symmetry, generated by the residual interaction, is crucial in the description of the ββ decays, regardless of the nuclear model used.Instituto de Física La Plata2017-10-23info: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/10915/87353enginfo:eu-repo/semantics/altIdentifier/issn/2469-9985info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevC.96.044322info: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:UNLP2025-09-29T11:17:10Zoai:sedici.unlp.edu.ar:10915/87353Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:17:10.289SEDICI (UNLP) - Universidad Nacional de La Platafalse |
dc.title.none.fl_str_mv |
Partial restoration of spin-isospin SU(4) symmetry and the one-quasiparticle random-phase approximation method in double-β decay |
title |
Partial restoration of spin-isospin SU(4) symmetry and the one-quasiparticle random-phase approximation method in double-β decay |
spellingShingle |
Partial restoration of spin-isospin SU(4) symmetry and the one-quasiparticle random-phase approximation method in double-β decay Santos Ferreira, V. dos Ciencias Exactas Física Nuclear structure & decays Double beta decay Neutrinoless double beta decay Nuclear density functional theory |
title_short |
Partial restoration of spin-isospin SU(4) symmetry and the one-quasiparticle random-phase approximation method in double-β decay |
title_full |
Partial restoration of spin-isospin SU(4) symmetry and the one-quasiparticle random-phase approximation method in double-β decay |
title_fullStr |
Partial restoration of spin-isospin SU(4) symmetry and the one-quasiparticle random-phase approximation method in double-β decay |
title_full_unstemmed |
Partial restoration of spin-isospin SU(4) symmetry and the one-quasiparticle random-phase approximation method in double-β decay |
title_sort |
Partial restoration of spin-isospin SU(4) symmetry and the one-quasiparticle random-phase approximation method in double-β decay |
dc.creator.none.fl_str_mv |
Santos Ferreira, V. dos Krmpotić, Francisco Barbero, César Alberto Samana, Arturo Rodolfo |
author |
Santos Ferreira, V. dos |
author_facet |
Santos Ferreira, V. dos Krmpotić, Francisco Barbero, César Alberto Samana, Arturo Rodolfo |
author_role |
author |
author2 |
Krmpotić, Francisco Barbero, César Alberto Samana, Arturo Rodolfo |
author2_role |
author author author |
dc.subject.none.fl_str_mv |
Ciencias Exactas Física Nuclear structure & decays Double beta decay Neutrinoless double beta decay Nuclear density functional theory |
topic |
Ciencias Exactas Física Nuclear structure & decays Double beta decay Neutrinoless double beta decay Nuclear density functional theory |
dc.description.none.fl_txt_mv |
The one-quasiparticle random-phase approximation (one-QRPA) method is used to describe simultaneously both double-β-decay modes, giving special attention to the partial restoration of spin-isospin SU(4) symmetry. To implement this restoration and to fix the model parameters, we resort to the energetics of Gamow-Teller resonances and to the minima of the single-β+-decay strengths. This makes the theory predictive regarding the ββ2ν decay, producing the 2ν moments in <sup>48</sup>Ca, <sup>76</sup>Ge, <sup>82</sup>Se, <sup>96</sup>Zr, <sup>100</sup>Mo, <sup>128,130</sup>Te, and <sup>150</sup>Nd, that are of the same order of magnitude as the experimental ones; however, the agreement with ββ2ν data is only modest. To include contributions coming from induced nuclear weak currents, we extend the ββ0ν-decay formalism employed previously in C. Barbero et al., Nucl. Phys. A 628, 170 (1998), which is based on the Fourier-Bessel expansion. The numerical results for the ββ0ν moments in the above mentioned nuclei are similar to those obtained in other theoretical studies although smaller on average by ∼40%. We attribute this difference basically to the one-QRPA method, employed here for the first time, instead of the currently used two-QRPA method. The difference is partially due also to the way of carrying out the restoration of the spin-isospin symmetry. It is hard to say which is the best way to make this restoration, since the ββ0ν moments are not experimentally measurable. The recipe proposed here is based on physically robust arguments. The numerical uncertainties in the ββ moments, related to (i) their strong dependence on the residual interaction in the particle-particle channel when evaluated within the QRPA, and (ii) lack of proper knowledge of single-particle energies, have been quantified. It is concluded that the partial restoration of the SU(4) symmetry, generated by the residual interaction, is crucial in the description of the ββ decays, regardless of the nuclear model used. Instituto de Física La Plata |
description |
The one-quasiparticle random-phase approximation (one-QRPA) method is used to describe simultaneously both double-β-decay modes, giving special attention to the partial restoration of spin-isospin SU(4) symmetry. To implement this restoration and to fix the model parameters, we resort to the energetics of Gamow-Teller resonances and to the minima of the single-β+-decay strengths. This makes the theory predictive regarding the ββ2ν decay, producing the 2ν moments in <sup>48</sup>Ca, <sup>76</sup>Ge, <sup>82</sup>Se, <sup>96</sup>Zr, <sup>100</sup>Mo, <sup>128,130</sup>Te, and <sup>150</sup>Nd, that are of the same order of magnitude as the experimental ones; however, the agreement with ββ2ν data is only modest. To include contributions coming from induced nuclear weak currents, we extend the ββ0ν-decay formalism employed previously in C. Barbero et al., Nucl. Phys. A 628, 170 (1998), which is based on the Fourier-Bessel expansion. The numerical results for the ββ0ν moments in the above mentioned nuclei are similar to those obtained in other theoretical studies although smaller on average by ∼40%. We attribute this difference basically to the one-QRPA method, employed here for the first time, instead of the currently used two-QRPA method. The difference is partially due also to the way of carrying out the restoration of the spin-isospin symmetry. It is hard to say which is the best way to make this restoration, since the ββ0ν moments are not experimentally measurable. The recipe proposed here is based on physically robust arguments. The numerical uncertainties in the ββ moments, related to (i) their strong dependence on the residual interaction in the particle-particle channel when evaluated within the QRPA, and (ii) lack of proper knowledge of single-particle energies, have been quantified. It is concluded that the partial restoration of the SU(4) symmetry, generated by the residual interaction, is crucial in the description of the ββ decays, regardless of the nuclear model used. |
publishDate |
2017 |
dc.date.none.fl_str_mv |
2017-10-23 |
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/10915/87353 |
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http://sedici.unlp.edu.ar/handle/10915/87353 |
dc.language.none.fl_str_mv |
eng |
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eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/issn/2469-9985 info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevC.96.044322 |
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info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/4.0/ Creative Commons Attribution 4.0 International (CC BY 4.0) |
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openAccess |
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http://creativecommons.org/licenses/by/4.0/ Creative Commons Attribution 4.0 International (CC BY 4.0) |
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application/pdf |
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