Recent results in quantum chaos and its applications to atomic nuclei

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Gömez Gómez, José María
Faleiro, E.
Muñoz, L.
Molina, R. A.
Retamosa Granado, J.
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A survey of chaotic dynamics in atomic nuclei is presented, using on the one hand standard statistics of quantum chaos studies, and on the other a new approach based on time series analysis methods. The study of shell-model spectra in the pf shell shows that nuclear chaos is strongly isopin dependent and increases with excitation energy. On the other hand, it is found that chaotic quantum systems exhibit 1/f noise and regular systems exhibit 1/f(2) behaviour. It is shown that the time series approach can be used to calculate quite accurately the fraction of missing levels and the existence of mixed symmetries in experimental level spectra.
International Spring Seminar on Nuclear Physics: New Quests in Nuclear Structure (10th. 2010. Vietri sul Mare, Italy)
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[1] Berry M V and Tabor M 1977 Proc. R. Soc. London A 356 375 [2] Bohigas O, Giannoni M J and Schmit C 1984 Phys. Rev. Lett. 52 1 [3] Guhr T, Müller-Groeling A and Weidenmüller H A 1998 Phys. Rep. 299 189 [4] H. J. Stöckmann, Quantum Chaos, (Cambridge University Press, Cambridge, 1999) [5] Gómez J M G, Kar K, Kota V K B, Molina R A, Relaño A and Retamosa J, Phys. Rep. to be published [6] Haq R U, Pandey A and Bohigas O 1982 Phys. Rev. Lett. 48 1086 [7] Shriner jr J F, Mitchell G E and von Egidy T 1991 Z. Phys. A 338, 309 [8] Garret J D, German J R, Courtney L and Espino J M, in Future Directions in Nuclear Physics, eds. J. Dudek and B. Haas (A. I. P., N.Y., 1992) p. 345 [9] Relaño A, Gómez J M G, Molina R A, Retamosa J and Faleiro E 2002 Phys. Rev. Lett. 89 244102 [10] Faleiro E, Gómez J M G, Molina R A, Muñoz L, Relaño A and Retamosa J 2004 Phys. Rev. Lett. 93 244101 [11] Gómez J M G, Relaño A, Retamosa J, Faleiro E, Salasnich L, Vranicar M and Robnik M 2005 Phys. Rev. Lett. 94 084101 [12] Molina R A, Retamosa J, Muñoz L, Relaño A and Faleiro E 2007 Phys. Lett. B 644 25 [13] Molina R A, Gómez J M G and Retamosa J 2000 Phys. Rev. C 63 014311 [14] Poves A and Zuker A 1981 Phys. Rep. 70 4