Evidence of magic numbers in nuclei by statistical indicators

TL;DR

This paper uses statistical complexity and Fisher-Shannon information to analyze nuclear shell structure, revealing magic numbers through these measures, which reflect the underlying quantum configurations of nuclei.

Contribution

It introduces a novel application of statistical indicators to identify magic numbers in nuclei based on shell model calculations.

Findings

Statistical complexity increases with nucleon number.

Fisher-Shannon information highlights magic numbers.

Shell structure influences the behavior of these statistical measures.

Abstract

The calculation of a statistical measure of complexity and the Fisher-Shannon information in nuclei is carried out in this work. We use the nuclear shell model in order to obtain the fractional occupation probabilities of nuclear orbitals. The increasing of both magnitudes, the statistical complexity and the Fisher-Shannon information, with the number of nucleons is observed. The shell structure is reflected by the behavior of the statistical complexity. The magic numbers are revealed by the Fisher-Shannon information.