Application of information entropy to nuclei

Abstract

Shannon's information entropies in position- and momentum- space and their sum $S$ are calculated for various $s$-$p$ and $s$-$d$ shell nuclei using a correlated one-body density matrix depending on the harmonic oscillator size $b_0$ and the short range correlation parameter $y$ which originates from a Jastrow correlation function. It is found that the information entropy sum for a nucleus depends only on the correlation parameter $y$ through the simple relation $S=s_{0A}+s_{1A}{y}^{-{\lambda }_{sA}}$, where $s_{0A}$, $s_{1A}$ and ${\lambda }_{sA}$ depend on the mass number $A$. A similar approximate expression is also valid for the root mean square radius of the nucleus as function of $y$ leading to an approximate expression which connects $S$ with the root mean square radius. Finally, we propose a method to determine the correlation parameter from the above property of $S$ as well as the linear dependence of $S$ on the logarithm of the number of nucleons.

10 pages, 10 EPS figures, RevTeX, Phys.Rev.C accepted for publication

References in corpus (9)

• Universal property of the information entropy in atoms, nuclei and atomic clusters
• A link of information entropy and kinetic energy for quantum many-body systems
• Invariant Correlation Entropy and Complexity of Quantum States
• Universal property of the information entropy in fermionic and bosonic systems
• Information entropy as a measure of the quality of a nuclear density distribution
• Systematic study of the effect of short range correlations on the form factors and densities of s-p and s-d shell nuclei
• One-body density matrix and momentum distribution in s-p and s-d shell nuclei
• Evaluation of cluster expansions and correlated one-body properties of nuclei
• Universal trend of the information entropy of a fermion in a mean field

Cited by in corpus (7)

• Information Entropy, Information Distances and Complexity in Atoms
• Shannon Information Entropy in Position Space for Two-Electron Atomic Systems
• Comparison of SDL and LMC measures of complexity: Atoms as a testbed
• Differential entropy and time
• Quantum-Information Theoretic Properties of Nuclei and Trapped Bose Gases
• Exploring the Diversity of Nuclear Density through Information Entropy
• Information entropy and nucleon correlations in nuclei