Level Statistics of Stable and Radioactive Nuclei

TL;DR

This study analyzes the spectral statistics of stable and radioactive nuclei, revealing differences in their chaoticity and regularity, with stable nuclei showing more regular dynamics and alpha-decay nuclei being less regular.

Contribution

It applies maximum likelihood estimation to spectral data to quantify the chaoticity of nuclei, providing new insights into nuclear spectral behavior across decay types.

Findings

Stable nuclei exhibit more regular spectral dynamics.

Alpha-decay nuclei show less spectral regularity.

Radioactive nuclei generally have more chaotic spectral statistics.

Abstract

The spectral statistics of nuclei undergo through the major forms of radioactive decays ((\alpha)(\beta^-), and(\beta^+) (or EC)) and also stable nuclei are investigated. With employing the MLE technique in the nearest neighbor spacing framework, the chaoticity parameters are estimated for sequences prepared by all the available empirical data. The ML-based estimated values propose a deviation to more regular dynamics in sequences constructed by stable nuclei in compare to unstable ones. In the same mass regions, nuclei transmitted through (\alpha)decay explore less regularity in their spectra in compare to other radioactive nuclei.