Scaling Analysis of Fluctuating Strength Function

Details Scaling Analysis of Fluctuating Strength Function Scaling Analysis of Fluctuating Strength Function

1999-04-14

arxiv.org/abs/nucl-th/9904037v1

Phys.Rev. C60 (1999) 034307

Physics

Nuclear Physics

Nuclear Theory

22 pages with 9 figures; submitted to Phys. Rev. C

Scientific paper

10.1103/PhysRevC.60.034307

We propose a new method to analyze fluctuations in the strength function phenomena in highly excited nuclei. Extending the method of multifractal analysis to the cases where the strength fluctuations do not obey power scaling laws, we introduce a new measure of fluctuation, called the local scaling dimension, which characterizes scaling behavior of the strength fluctuation as a function of energy bin width subdividing the strength function. We discuss properties of the new measure by applying it to a model system which simulates the doorway damping mechanism of giant resonances. It is found that the local scaling dimension characterizes well fluctuations and their energy scales of fine structures in the strength function associated with the damped collective motions.

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