Self-Consistent Occupation Probabilities in Brueckner-Hartree-Fock Calculations

A method is developed for evaluating self-consistent occupation probabilities in Brueckner-Hartree-Fock calculations of finite nuclei. The method does not involve explicitly the overlaps of defect wave functions but is based instead on the energy dependence of the $G$ matrix elements. Results are presented for ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$ using a $G$ matrix which shifts only the low-lying intermediate-particle spectrum.