Exploring the Diversity of Nuclear Density through Information Entropy

TL;DR

This paper investigates how information entropy can quantify the complexity and disorder in nuclear density distributions, including stable and exotic structures like neutron halos and alpha clustering, providing a new macroscopic measure of nuclear properties.

Contribution

It introduces the use of information entropy to analyze nuclear density distributions and relates entropy values to geometric parameters of nuclear structures.

Findings

Higher entropy correlates with more dispersed nuclear densities.

Entropy effectively characterizes stable and non-traditional nuclear configurations.

Quantitative relationship between entropy and nuclear geometric parameters.

Abstract

This study explores the role of information entropy in understanding nuclear density distributions, including both stable configurations and non-traditional structures such as neutron halos and $\alpha$-clustering. By quantifying the uncertainty and disorder inherent in nucleon distributions in nuclear many-body systems, information entropy provides a macroscopic measure of the physical properties of the system. A more dispersed and disordered density distribution results in a higher value of information entropy. This intrinsic relationship between information entropy and system complexity allows us to quantify uncertainty and disorder in nuclear structures by analyzing various geometric parameters such as nuclear radius, diffuseness, neutron skin, and cluster structural features.