Intermittency route to chaos for the nuclear billiard

¹ Space Research Laboratory, Institute of Space Sciences - P.O. Box MG 23, RO 77125, Bucharest-Măgurele, Romania, EU
² Faculty of Physics, University of Bucharest - P.O. Box MG 11, RO 77125, Bucharest-Măgurele, Romania, EU

^a dfelea@spacescience.ro

Received: 25 November 2010
Accepted: 25 January 2011

Abstract

We analyze on a classical 2D version of the “nuclear billiard” the onset of chaotic behaviour of the three-dimensional nucleonic trajectories in different dynamical states of the axially symmetric deformed nuclei. The coupling between the single-particle and the collective degrees of freedom in the presence of dissipation for several multipolarities is taken into account. We examine the order-to-chaos transition by studying the Shannon entropies, which quantify the time rate of information production during a certain motion. For the monopole and dipole deformations an increasing divergence of the nucleonic trajectories from the adiabatic to the resonance regime is observed. Also, a peculiar case of intermittency is reached in the vicinity of the resonance, for the monopole case. The quantity of energy transferred in a nuclear collision is shown to be the control parameter which adjusts the intermittent behaviour of the studied system.