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Power spectrum of nuclear spectra with missing levels and mixed symmetries

dc.contributor.authorRelaño Pérez, Armando
dc.contributor.authorMolina, R. A.
dc.contributor.authorRetamosa Granado, Joaquín
dc.contributor.authorMuñoz Muñoz, Laura
dc.contributor.authorFaleiro, E.
dc.date.accessioned2023-06-20T10:49:00Z
dc.date.available2023-06-20T10:49:00Z
dc.date.issued2007-01-04
dc.description© 2006 Elsevier B.V. All rights reserved. R.A.M. would like to thank E. Grosse, A.Wagner and G. Rusev of the Fz. Rossendorf for suggesting this work. A.R. is supported by the Spanish “Juan de la Cierva” program. This work is supported in part by Spanish Government grants BFM2003-04147-C02 and FTN2003-08337-C04-04.
dc.description.abstractSequences 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.eng
dc.description.departmentDepto. de Estructura de la Materia, Física Térmica y Electrónica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipGobierno de España
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/27679
dc.identifier.citationMolina R A, Retamosa J, Muñoz L, Relaño A and Faleiro E 2007 Power spectrum of nuclear spectra with missing levels and mixed symmetries Physics Letters B 644 25–32
dc.identifier.doi10.1016/j.physletb.2006.10.058
dc.identifier.issn0370-2693
dc.identifier.officialurlhttp://dx.doi.org/10.1016/j.physletb.2006.10.058
dc.identifier.relatedurlhttp://www.sciencedirect.com/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/51276
dc.issue.number1
dc.journal.titlePhysics Letters B
dc.language.isoeng
dc.page.final32
dc.page.initial25
dc.publisherElsevier Science BV
dc.rightsAtribución 3.0 España
dc.rights.accessRightsopen access
dc.rights.urihttps://creativecommons.org/licenses/by/3.0/es/
dc.subject.cdu536
dc.subject.keywordFluctuation Properties
dc.subject.keywordAL-26
dc.subject.ucmTermodinámica
dc.subject.unesco2213 Termodinámica
dc.titlePower spectrum of nuclear spectra with missing levels and mixed symmetries
dc.typejournal article
dc.volume.number644
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