Chaos Driven Decay of Nuclear Giant Resonances: Route to Quantum Self-Organization

Abstract

The influence of background states with increasing level of complexity on the strength distribution of the isoscalar and isovector giant quadrupole resonance in ${}^{40}$Ca is studied. It is found that the background characteristics, typical for chaotic systems, strongly affects the fluctuation properties of the strength distribution. In particular, the small components of the wave function obey a scaling law analogous to self-organized systems at the critical state. This appears to be consistent with the Porter-Thomas distribution of the transition strength.

Comments: 14 pages, 4 Figures, Illinois preprint P-93-12-106, Figures available from the authors