Abstract
Shannon’s information entropies in position and momentum space and their sum S are calculated for various and shell nuclei using a correlated one-body density matrix depending on the harmonic oscillator size 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 where and 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