On the Binding Energy of the16O Nucleus II. Higher Clusters

The paper contains a calculation of the higher cluster terms neglected in the variational calculation of the binding energy of the 16 O nucleus given in an earlier paper. All the different contributions to the next term in the Ursell-Jastrow cluster development are calculated with help of an approximation based on the short range of the correlations. The wave function found in the earlier paper is used. The numerical results show that with the higher cluster terms both binding and density of the 16 O nucleus are still reproduced by the two-body interaction with the repulsive core radius between 0.2 and 0.6 fermi. The higher cluster terms are found to be of importance in any attempt at quantitative results.