Evidence of Magic Numbers in Nuclei by Statistical Indicators

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 behaviour of the statistical complexity. The magic numbers are clearly revealed by the Fisher-Shannon information. Then, this work provides a new way of finding the magic numbers by a qualitative study through statistical indicators.