The correlation of quadrupole transition rates of deformed nuclei by non-parametric approach

Abstract

In this study, we tried to investigate the possible correlation of inter and intra-band quadrupole transition probabilities of rotational bands. To this aim, all the available experimental values of quadrupole transition rates between different levels of the ground band together quadrupole transitions of gamma and beta bands, 2γ+→0g+ and 2β+→0g+, of even-even prolate nuclei in the 150<A<250 mass region are analyzed. We extended the kernel density estimation approach as a non-parametric estimation formalism for this analysis and compared its predictions with the results of the commonly used parametric technique with emphasis on Porter-Thomas distribution. The results show that the statistical correlation is dominant for such inter-band transitions between different levels of the ground band but for intra-band transitions which originated from the beta band, deviation from correlated behavior is obvious. Also, the comparison of the statistical behavior of 2+→0+ transitions of different rotational bands, suggests the most GOE-like behavior for the quadrupole transitions between the levels of the ground band.