Spectral fluctuation properties of spherical nuclei

TL;DR

This paper investigates the spectral fluctuation properties of spherical nuclei using NNSD statistics, employing a generalized Brody distribution and MLE technique to estimate chaoticity parameters, revealing non-regular dynamics and a slight GUE deviation in odd-mass nuclei.

Contribution

It introduces a comprehensive analysis of spherical nuclei spectral properties using advanced statistical methods and a generalized distribution, highlighting non-regular dynamics and spectral deviations.

Findings

Non-regular dynamic behavior in spherical nuclei

Spherical odd-mass nuclei show slight GUE spectral statistics deviation

MLE and KLD measures support non-regular spectral properties

Abstract

The spectral fluctuation properties of spherical nuclei are considered by use of NNSD statistic. With employing a generalized Brody distribution included Poisson, GOE and GUE limits and also MLE technique, the chaoticity parameters are estimated for sequences prepared by all the available empirical data. The ML-based estimated values and also KLD measures propose a non regular dynamic. Also, spherical odd-mass nuclei in the mass region, exhibit a slight deviation to the GUE spectral statistics rather than the GOE.