Pairing Effect on Spectral Statistics of Even and Odd Mass Nuclei

TL;DR

This study investigates how pairing influences the spectral statistics of even and odd-mass nuclei, revealing differences in their regularity and chaos, with implications for understanding nuclear structure.

Contribution

It provides a comparative analysis of spectral statistics in even and odd-mass nuclei, highlighting the effects of pairing and shell closures on nuclear dynamics.

Findings

Even-mass nuclei show more regular spectral behavior.

Odd-mass nuclei exhibit more chaotic spectral patterns.

Shell effects influence spectral statistics.

Abstract

The interplay of pairing is explored for the spectral statistics of nuclear systems with emphasis on the nearest neighbor spacing distributions by employing the kernel density and maximum likelihood estimation techniques. Different sequences prepared by all the available empirical data for low-lying energy levels of even and odd-mass nuclei in the 34 < A < 206 mass region. A deviation to more regular dynamics is apparent for even-mass nuclei in compare to odd-mass ones, and there are suggestions of effects due to unclosed proton shells on more chaotic dynamics.