2002/12/02 by S. E. Massen
Physics and Astronomy · #Nuclear physics research studies #Quantum chaos and dynamical systems #Scientific Research and Discoveries #nucl-th #quant-ph
paper · pdf · doi:10.1103/physrevc.67.014314
published as Phys.Rev. C67 (2003) 014314 · 10 pages, 10 EPS figures, RevTeX, Phys.Rev.C accepted for publication
arxiv created 2002/12/02 · openalex publication_date 2003/01/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Shannon's information entropies in position and momentum space and their sum S are calculated for various s\ensuremath-p and s\ensuremath-d shell nuclei using a correlated one-body density matrix depending on the harmonic oscillator size b0 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=s0A+s1Ay^\ensuremath-\ensuremathλsA, where s0A, s1A, and \ensuremathλsA 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.