Abstract
Trial wave functions including angular momentum projection and deformation with central Jastrow and linear-type correlations are calculated to study the ground state rotational band of the ${}^{20}\mathrm{Ne},$ ${}^{24}\mathrm{Mg},$ ${}^{28}\mathrm{Si},$ ${}^{32}\mathrm{S},$ and ${}^{36}\mathrm{Ar}$ nuclei and the ground state of ${}^{40}\mathrm{Ca}.$ A systematic analysis of the competition among different correlation mechanisms on the binding energy and other properties such as the root mean square radius and the transition amplitudes of the rotational band is carried out. The one- and two-body radial densities and the momentum distribution are obtained. All the calculations have been performed by means of the variational Monte Carlo method.
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