SCALING PROPERTIES OF NUCLEAR GIANT-RESONANCE TRANSITION-PROBABILITIES

Multifractal scaling analysis of nuclear giant resonance transition pr obability distributions is performed within the approximation which ta kes into account the one-particle-one-hole (1p-1h) and 2p-2h states, A new measure to determine the fractal dimensions of the spectra is int roduced. It is found that chaotic dynamics governing the decay leads t o non-trivial multifractal scaling properties, Such a kind of scaling is absent in the case of regular dynamics. The degree of collectivity is another element which worsens the scaling.