Power spectrum of nuclear spectra with missing levels and mixed symmetries

Sequences of energy levels in nuclei are often plagued with missing levels whose number and position are unknown. It is also quite usual that all the quantum numbers of certain levels cannot be experimentally determined, and thus levels of different symmetries are mixed in the same sequence. The ana...

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Detalles Bibliográficos
Autores: Relaño Pérez, Armando, Molina, R. A., Retamosa Granado, Joaquín, Muñoz Muñoz, Laura, Faleiro, E.
Tipo de recurso: artículo
Fecha de publicación:2007
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/51276
Acceso en línea:https://hdl.handle.net/20.500.14352/51276
Access Level:acceso abierto
Palabra clave:536
Fluctuation Properties
AL-26
Termodinámica
2213 Termodinámica
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spelling Power spectrum of nuclear spectra with missing levels and mixed symmetriesRelaño Pérez, ArmandoMolina, R. A.Retamosa Granado, JoaquínMuñoz Muñoz, LauraFaleiro, E.536Fluctuation PropertiesAL-26Termodinámica2213 TermodinámicaSequences of energy levels in nuclei are often plagued with missing levels whose number and position are unknown. It is also quite usual that all the quantum numbers of certain levels cannot be experimentally determined, and thus levels of different symmetries are mixed in the same sequence. The analysis of these imperfect spectra (from the point of view of spectral statistics) is unavoidable if one wants to extract some statistical information. The power spectrum of the delta(q) statistic has emerged in recent years as an important tool for the study of quantum chaos and spectral statistics. We derive analytical expressions for the observed power spectrum in terms of the fraction of observed levels and the number of mixed sequences. These expressions are tested with large shell model spectra simulating realistic experimental situations. A good estimation of the number of mixed symmetries and the fraction of missing levels is obtained by means of a least-squares fit in a wide set of different situations.Elsevier Science BVUniversidad Complutense de Madrid20072007-01-0120072007-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/51276reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Atribución 3.0 Españahttps://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/512762026-06-02T12:44:21Z
dc.title.none.fl_str_mv Power spectrum of nuclear spectra with missing levels and mixed symmetries
title Power spectrum of nuclear spectra with missing levels and mixed symmetries
spellingShingle Power spectrum of nuclear spectra with missing levels and mixed symmetries
Relaño Pérez, Armando
536
Fluctuation Properties
AL-26
Termodinámica
2213 Termodinámica
title_short Power spectrum of nuclear spectra with missing levels and mixed symmetries
title_full Power spectrum of nuclear spectra with missing levels and mixed symmetries
title_fullStr Power spectrum of nuclear spectra with missing levels and mixed symmetries
title_full_unstemmed Power spectrum of nuclear spectra with missing levels and mixed symmetries
title_sort Power spectrum of nuclear spectra with missing levels and mixed symmetries
dc.creator.none.fl_str_mv Relaño Pérez, Armando
Molina, R. A.
Retamosa Granado, Joaquín
Muñoz Muñoz, Laura
Faleiro, E.
author Relaño Pérez, Armando
author_facet Relaño Pérez, Armando
Molina, R. A.
Retamosa Granado, Joaquín
Muñoz Muñoz, Laura
Faleiro, E.
author_role author
author2 Molina, R. A.
Retamosa Granado, Joaquín
Muñoz Muñoz, Laura
Faleiro, E.
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 536
Fluctuation Properties
AL-26
Termodinámica
2213 Termodinámica
topic 536
Fluctuation Properties
AL-26
Termodinámica
2213 Termodinámica
description Sequences of energy levels in nuclei are often plagued with missing levels whose number and position are unknown. It is also quite usual that all the quantum numbers of certain levels cannot be experimentally determined, and thus levels of different symmetries are mixed in the same sequence. The analysis of these imperfect spectra (from the point of view of spectral statistics) is unavoidable if one wants to extract some statistical information. The power spectrum of the delta(q) statistic has emerged in recent years as an important tool for the study of quantum chaos and spectral statistics. We derive analytical expressions for the observed power spectrum in terms of the fraction of observed levels and the number of mixed sequences. These expressions are tested with large shell model spectra simulating realistic experimental situations. A good estimation of the number of mixed symmetries and the fraction of missing levels is obtained by means of a least-squares fit in a wide set of different situations.
publishDate 2007
dc.date.none.fl_str_mv 2007
2007-01-01
2007
2007-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/51276
url https://hdl.handle.net/20.500.14352/51276
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución 3.0 España
https://creativecommons.org/licenses/by/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución 3.0 España
https://creativecommons.org/licenses/by/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier Science BV
publisher.none.fl_str_mv Elsevier Science BV
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.301603

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