Application of information entropy to nuclei

S. E. Massen
Phys. Rev. C 67, 014314 – Published 22 January 2003
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Abstract

Shannon’s information entropies in position and momentum space and their sum S are calculated for various sp and sd 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+s1AyλsA, where s0A, s1A, and λsA 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.

  • Received 13 July 2002

DOI:https://doi.org/10.1103/PhysRevC.67.014314

©2003 American Physical Society

Authors & Affiliations

S. E. Massen

  • Department of Theoretical Physics, Aristotle University of Thessaloniki, GR 54124 Thessaloniki, Greece

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Vol. 67, Iss. 1 — January 2003

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