The Jastrow cluster expansion method for finite nuclei

Abstract

The binding energies and RMS radii of nuclei in the mass region 16<or=A<or=208 are calculated in the Jastrow cluster expansion method by including the second-order correction to the energy. The Reid soft-core NN interaction has been employed in the calculations. The binding energies are predicted reasonably well for the nuclei in the mass region A approximately 90 whereas they are underestimated in nuclei with A<56 and overestimated in nuclei with A>120. The calculated RMS radii are in good agreement with the experimental data for nuclei with A<or=56 but nor for heavy nuclei where considerable compression is predicted. The contribution of the three-body cluster correction to the two-body correlation energy is estimated to be at the most 9% thereby indicating a good convergence of the cluster expansion. Results are compared with those recently obtained from the Brueckner-Bethe-Goldstone method using the same NN interaction.