Shell-Model studies of chaos and statistical properties in nuclei

Thumbnail Image
Full text at PDC
Publication Date
Advisors (or tutors)
Journal Title
Journal ISSN
Volume Title
IOP Publishing Ltd
Google Scholar
Research Projects
Organizational Units
Journal Issue
Shell-model calculations with realistic empirical interactions constitute an excellent tool to study statistical properties of nuclei. Using large-scale shell-model calculations in pf-shell nuclei, we study how the onset of chaos depends on different properties of the nuclear interaction and on excitation energy. We make use of classical random matrix theory and other theoretical developments based on information theory and time series analysis. We show that besides energy-level statistics, other statistical properties like the complexity of wave functions are fundamental for a proper determination of the dynamical regime of nuclei. Important deviations from GOE are observed in level fluctuations and in the complexity of wave functions.
© 2015 IOP Publishing Ltd. International Spring seminar on nuclear physics: shell model and nuclear structure (11th. MAY 12-16, 2014. Ischia, Italia).
UCM subjects
[1] Gómez J M G, Kar K, Kota V K B, Molina R A, Relaño A and Retamosa J 2011 Phys. Rep. 499 103-226. [2] Bohigas O, Giannoni M J and Schmit C 1984 Phys. Rev. Lett. 52 1. [3] Müller S, Heusler S, Braun P, Haake F and Altland A 2004 Phys. Rev. Lett. 93 014103. [4] Haq R U, Pandey A and Bohigas O 1982 Phys. Rev. Lett. 48 1086. [5] Gómez J M G, Molina R A, Relaño A and Retamosa J 2002 Phys. Rev. E 66 036209. [6] Dyson F J and Mehta M L, 1963 J. Math. Phys. 4 701. [7] Mehta M L, 2004 Random Matrices, Academic Press, 3rd ed. [8] Relaño A, Gómez J M G, Molina R A, Retamosa J and Faleiro E 2002 Phys. Rev. Lett. 89 244102. [9] Faleiro E, Gómez J M G, Molina R A, Muñoz L, Relaño A and Retamosa J 2004 Phys. Rev. Lett. 93 244101. [10] Zelevinsky V, Brown B A, Frazier N and Horoi M 1996 Phys. Rep. 276 85. [11] Wildenthal B H 1983 Prog. Part. Nucl. Phys. 11 5. [12] Poves A and Retamosa J 1994 Nucl. Phys. A 571 221. [13] Poves A and Zuker A 1981 Phys. Rep. 70 4. [14] Molina R A, Gómez J M G and Retamosa J 2000 Phys. Rev. C 63 014311.