  Three different cluster expansions for the evaluation of correlated one-body
properties of s-p and s-d shell nuclei are compared. Harmonic oscillator wave
functions and Jastrow type correlations are used, while analytical expressions
are obtained for the charge form factor, density distribution, and momentum
distribution by truncating the expansions and using a standard Jastrow
correlation function f. The harmonic oscillator parameter b and the correlation
parameter \beta have been determined by a least-squares fit to the experimental
charge form factors in each case. The information entropy of nuclei in
position-space (S_r) and momentum-space (S_k) according to the three methods
are also calculated. It is found that the larger the entropy sum S=S_r+S_k (the
information content of the system) the smaller the values of \chi^2. This
indicates that S is a criterion of the quality of a given nuclear model,
according to the maximum entropy principle. Only two exceptions to this rule,
out of many cases examined, were found. Finally an analytic expression for the
so-called "healing" or "wound" integrals is derived with the function f
considered, for any state of the relative two-nucleon motion and their values
in certain cases are computed and compared.
