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Title

Power spectrum of nuclear spectra with missing levels and mixed symmetries

AuthorsMolina, Rafael A. CSIC ORCID; Retamosa, J.; Muñoz, L.; Relaño, Armando; Faleiro, E.
KeywordsStatistical spectroscopy
Quantum chaos
Shell model
[PACS] Quantum chaos; semiclassical methods
[PACS] Chaos in nuclear systems
Issue Date4-Jan-2007
PublisherElsevier
CitationPhysics Letters B 644(1): 25–32 (2007)
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 δq 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.
Description8 pages, 2 tables, 7 figures.--PACS nrs.: 21.60.-k; 05.45.Mt; 24.60.Lz.--Available on line on Nov 13, 2006.
Publisher version (URL)http://dx.doi.org/10.1016/j.physletb.2006.10.058
URIhttp://hdl.handle.net/10261/15790
DOIhttp://dx.doi.org/10.1016/j.physletb.2006.10.058
ISSN0370-2693
Appears in Collections:(CFMAC-IEM) Artículos
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