Bochum 2009 – scientific programme

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HK: Fachverband Hadronen und Kerne

HK 48: Nuclear Structure and Dynamics I

HK 48.6: Talk

Wednesday, March 18, 2009, 15:15–15:30, H-ZO 40

Quantum chaos in the collective dynamics of nuclei — •Pavel Cejnar, Pavel Stransky, and Michal Macek — Institute of Particle and Nuclear Physics, Charles University, Prague, Czech Republic

Simple models of nuclear collective dynamics - the geometric collective model (GCM) and the interacting boson model (IBM) - exhibit very complex interplay of regular and chaotic motions [1,2]. The competition between both types of dynamics sensitively depends on control parameters as well as on energy. We present results of our recent analyses of classical and quantum signatures of chaos in both GCM and IBM [3-5]. Apart from standard measures of chaos we also study so-called Peres lattices [6], which provide a very efficient way to distinguish ordered and disordered parts of spectra and to reveal main ordering principles of quantum states. Correspondence with the classical dynamics is demonstrated.

References: [1] Y. Alhassid, N.Whelan, Phys. Rev. Lett. 67, 816 (1991). [2] P. Cejnar, P. Stransky, Phys. Rev. Lett. 93 (2004) 102502. [3] P. Stransky, M. Kurian, P. Cejnar, Phys. Rev. C 74 (2006) 014306. [4] M. Macek, P. Stransky, P. Cejnar, S. Heinze, J. Jolie, J. Dobes, Phys. Rev. C 75 (2007) 064318. [5] P. Stransky, P. Hruska, P. Cejnar, submitted to Phys. Rev. E. [6] A. Peres, Phys. Rev. Lett. 53 (1984) 1711.