Information entropy as a measure of the quality of a nuclear density distribution

Abstract

The information entropy of a nuclear density distribution is calculated for a number of nuclei. Various phenomenological models for the density distribution using different geometry are employed. Nuclear densities calculated within various microscopic mean field approaches are also employed. It turns out that the entropy increases on going from crude phenomenological models to more sophisticated (microscopic) ones. It is concluded that the larger the information entropy, the better the quality of the nuclear density distribution. An alternative approach is also examined: the net information content i.e. the sum of information entropies in position and momentum space $S_r+S_k$. It is indicated that $S_r+S_k$ is a maximum, when the best fit to experimental data of the density and momentum distributions is attained.

12 pages, LaTex, no figures, Int. J. of Mod. Phys. E in press

Cited by in corpus (14)

• Information Entropy, Information Distances and Complexity in Atoms
• Net Fisher information measure versus ionization potential and dipole polarizability in atoms
• Comparison of SDL and LMC measures of complexity: Atoms as a testbed
• A link of information entropy and kinetic energy for quantum many-body systems
• Universal property of the information entropy in fermionic and bosonic systems
• Application of information entropy to nuclei
• The dependence of information entropy of uniform Fermi systems on correlations and thermal effects
• Evaluation of cluster expansions and correlated one-body properties of nuclei
• A simple link of information entropy of quantum and classical systems with Newtonian $r^{-2}$ dependence of Verlinde's entropic force
• Universal trend of the information entropy of a fermion in a mean field
• Quantum-Information Theoretic Properties of Nuclei and Trapped Bose Gases
• Quantum-Information Content of Fractional Occupation Probabilities in Nuclei
• Statistical measure of complexity and correlated behavior of Fermi systems
• Information entropy and nucleon correlations in nuclei