Spectral statistics of rare-earth nuclei: Investigation of shell model configuration effect

TL;DR

This paper analyzes the spectral statistics of rare-earth nuclei using empirical data, revealing deviations from GOE and suggesting influences of mass, deformation, and shell configurations.

Contribution

It introduces a comprehensive spectral analysis of rare-earth nuclei considering shell model configurations and deformation effects using Berry-Robnik distribution.

Findings

Deviations from GOE observed in spectral statistics

Shell model configurations influence spectral behavior

Mass and deformation parameters affect spectral distributions

Abstract

The spectral statistics of even-even rare-earth nuclei are investigated by using all the available empirical data for Ba, Ce, Nd, Sm, Gd, Dy, Er, Yb and Hf isotopes. The Berry- Robnik distribution and Maximum Likelihood estimation technique are used for analyses. An obvious deviation from GOE is observed for considered nuclei and there are some suggestions about the effect due to mass, deformation parameter and shell model configurations.