Exploring the Diversity of Nuclear Density through Information Entropy

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.

arXiv comment10 pages, 4 figures

References in corpus (25)

• Toward a global description of the nucleus-nucleus interaction
• Evidence for tetrahedral symmetry in 16O
• Giant Dipole Resonance as a Fingerprint of $\alpha$ Clustering Configurations in ${}^{12}$C and ${}^{16}$O
• Nuclear Tetrahedral Symmetry: Possibly Present Throughout the Periodic Table
• Application of Information Theory in Nuclear Liquid Gas Phase Transition
• The algebraic cluster model. Three-body clusters
• Shannon Information Entropy in Heavy-ion Collisions
• Critical Behavior in Light Nuclear Systems: Experimental Aspects
• Parameterization of Deformed Nuclei for Glauber Modeling in Relativistic Heavy Ion Collisions
• A two-neutron halo is unveiled in ${}^{29}$F
• Phase Transition Study meets Machine Learning
• Chaotic Behavior of Particle Production in Branching Processes
• Application of information entropy to nuclei
• Constraining nuclear symmetry energy with the charge radii of mirror-pair nuclei
• System dependence of away-side broadening and $\alpha$-clustering light nuclei structure effect in dihadron azimuthal correlations
• Chemical freeze-out in relativistic heavy-ion collisions
• Evaluation of cluster expansions and correlated one-body properties of nuclei
• Determination of neutron-skin thickness using configurational information entropy
• Observation of ${}^6$He+$t$ cluster states in ${}^9$Li
• Calculation of microscopic nuclear level densities based on covariant density functional theory
• Effect of initial-state geometric configurations on the nuclear liquid-gas phase transition
• Effects of the $\alpha$-cluster structure and the intrinsic momentum component of nuclei on the longitudinal asymmetry in relativistic heavy-ion collisions
• The evolution of Information entropy components in Relativistic Heavy-Ion Collisions
• Quantitative assessment of increasing complexity
• Signatures of an $\alpha$ + core structure in ${}^{44}$Ti + ${}^{44}$Ti collisions at $\sqrt{s_{NN}}=5.02$ TeV by a multiphase transport model

Cited by in corpus (1)

• Branching ratio and information entropy for the p+${}^{12}$C reaction in the extended-quantum-molecular-dynamics model