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.

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

References in corpus (3)

• Exact Results for the One-Dimensional Self-Organized Critical Forest-Fire Model
• Microscopic Origin of Quantum Chaos in Rotational Damping
• Modeling Complex Nuclear Spectra - Regularity versus Chaos

Cited by in corpus (6)

• Multiscale fluctuations in nuclear response
• Chaoticity in Vibrating Nuclear Billiards
• Phase-Space Exploration in Nuclear Giant Resonance Decay
• Fluctuation properties of strength functions associated with giant resonances
• Collectivity Embedded in Complex Spectra of Finite Interacting Fermi Systems: Nuclear Example
• Invariant Manifolds and Collective Coordinates