DYNAMIC SYMMETRY-BREAKING AND MEAN-FIELD CHAOTIC MOTIONS IN NUCLEAR MANY-BODY SYSTEMS

In this paper, the dynamical symmetry concept is used to investigate the quantum integrability of nuclear many-body systems. It is found that such systems are generally nonintegrable due to the complicated inherent interactions. In fact, in certain regions of the intrinsic parameters, the time-dependent mean-field solution can be chaotic. However, when subdynamical symmetries, e.g., certain excitation modes, dominate, the corresponding dynamics will be rendered regular, thus signaling that the nuclear many-body system is not fully chaotic. Chaotic behavior emerges in the transitional region between the excitation modes were subdynamical symmetries are broken and accompanied by structural phase transitions.