Iranian Journal of Physics Research

Investigation of the statistical fluctuations of the electric quadrupole transition rates of spherical nuclei by kernel density estimation method‎

Document Type : Original Article

Authors

Asgar Hosseinnezhad 1
amir jalili majarashin 2
Pan Feng 2
Masoud Seidi 3
Hadi Sabri 4

1 Department of nuclear physics, faculty of physics, University of Tabriz, Tabriz, Iran

2 Department of Physics, Liaoning Normal University, Dalian, China

3 Department of Physics, Ilam University, Ilam, Iran

4 Department of Physics, University of Tabriz, Tabriz, Iran

https://doi.org/10.47176/ijpr.22.2.91324
Abstract
In this study, the statistical correlation of the electric quadrupole transition probabilities in the spherical nuclei is investigated. To this aim, the spherical even-even nuclei in the 100 < A < 126 mass region are selected and the electric quadrupole transition rates of different levels in the ground band are determined by the interacting boson model in the U(5) dynamical limit. A non-parametric kernel density estimation method is used in the framework of nearest neighbor spacing distribution of random matrix theory to consider the statistical correlation of these quadrupole transition rates. Also, the Kullback-Leibler divergence is used to describe the regular or chaotic behavior of the considered sequences. The results show the correlation of the electric quadrupole transition probabilities between different levels of the ground band. Also, the correlation increased for such transitions that the angular momentum of the initial state of quadrupole transitions increased.

Keywords

statistical correlation
electric quadrupole transition probability
interacting boson model (IBM)
kernel density estimation (KDE) method
Kullback-Leibler divergence (KLD)
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