INFORMATION ENTROPY AND NUCLEON CORRELATIONS IN NUCLEI

Abstract

We evaluated the information entropies in coordinate and momentum spaces and their sum (Sr, Sk, S) for many nuclei using "experimental" densities or/and momentum distributions. The results are compared with the harmonic oscillator model and with the short-range correlated distributions. Suppose A is the number of nuclei, it is found that Sr depends strongly on ln A and does not depend very much on the model. The behavior of Sk is the opposite. The various cases that we consider can be classified according to either the quantity of the experimental data that we use or by the values of S, i.e., the increase in the quality of the density and in the momentum distributions leads to an increase in the values of S. In all cases, apart from the linear relation S=a+b ln A, the linear relation S=aV+bV ln V also holds. V is the mean volume of the nucleus. If S is considered as an ensemble entropy, a relation between A or V and the ensemble volume can be found. Finally, comparing many different electron scattering experiments for the same nucleus, we found that the larger the momentum transfer ranges, the larger the information entropy is. It is concluded that S might be used to compare different experiments for the same nucleus, and to choose the most reliable one.