Both the third-order and the second-order rearrangemetn corrections are included in a self-consistent calculation of the single-particle field of ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$, carried out with a model $G$ matrix derived from the soft-core Sprung-de-Tourreil interaction. Saturation is improved: The charge radius increases by 7% and the central nuclear density is diminished by 10%. For the interaction chosen, the effect of the second-order (energy-dependent) corrections are larger than those of the third order. The self-consistent "single-particle" energies in the nucleus, and the single-particle wave functions, are used to calculate the removal energies of single particles, the results being in quite good agreement with experiment.

NUCLEAR STRUCTURE ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$; calculated radius, single-particle separation energies, total binding energy. Propagator renormalization self-consistent method.

• Received 6 May 1974

DOI:https://doi.org/10.1103/PhysRevC.10.2561