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Superstatistical random-matrix-theory approach to transition intensities in mixed systems
Faculty
Science
Year:
2006
Type of Publication:
Article
Pages:
Authors:
Abul-Magd, A. Y
DOI:
10.1103/PhysRevE.73.056119
Journal:
PHYSICAL REVIEW E AMER PHYSICAL SOC
Volume:
73
Research Area:
Physics
ISSN
ISI:000237951400029
Keywords :
Superstatistical random-matrix-theory approach , transition intensities , mixed
Abstract:
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 Al-26 nucleus better than the commonly used chi(2) distribution.
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