New Results on Quantum Chaos in Atomic Nuclei

Abstract

In atomic nuclei, ordered and chaotic states generally coexist. In this paper the transition from ordered to chaotic states will be discussed in the framework of roto-vibrational and shell models. In particular for ${}^{160}Gd$, in the roto-vibrational model, the Poincarè sections clearly show the transition from order to chaos for different values of rotational frequency. Furthermore, the spectral statistics of low-lying states of several $fp$ shell nuclei are studied with realistic shell-model calculations.

Latex, 10 pages, invited talk of Prof. V.R. Manfredi to the International Symposium on Large-Scale Collective Motion of Atomic Nuclei, October 1996, Brolo (Messina), to be published in the Proceedings (World Scientific, Singapore)