Superstatistical random-matrix-theory approach to transition intensities in mixed systems

Details Superstatistical random-matrix-theory approach to transition intensities in mixed systems Superstatistical random-matrix-theory approach to transition intensities in mixed systems

2006-03-19

arxiv.org/abs/cond-mat/0603487v1

Phys.Rev. E73 (2006) 056119

Physics

Condensed Matter

Statistical Mechanics

14 pages, 3 figures

Scientific paper

10.1103/PhysRevE.73.056119

We study the fluctuation properties of transition intensities applying a recently proposed generalization of the random matrix theory, which is based on Beck and Cohen's superstatistics. We obtain an analytic expression for the distribution of the reduced transition probabilities that applies to systems undergoing a transition out of chaos. The obtained distribution fits the results of a previous nuclear shell model calculations for some electromagnetic transitions that deviate from the Porter-Thomas distribution. It agrees with the experimental reduced transition probabilities for the 26A nucleus better than the commonly used chi-squared distribution.

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