Binding-energy calculations for ¹⁶O and their dependence on the treatment of the Pauli operator in the G-matrix

The binding energy per particle and the single-particle energies and occupation probabilities for ¹⁶O are calculated using G-matrix elements computed with an exact Pauli operator Q and with various shifts in the energies of the intermediate state spectrum with respect to the energies of the occupied states. These calculations are than repeated with G-matrix elements computed with several commonly used approximations for Q, namely the Eden-Emery Q and the angle-averaged Q of Wong. The results of these latter calculations are compared with the results obtained with the exact treatment of Q and are found to be very similar. It is concluded that in binding-energy calculations, but not necessarily in more sophisticated calculations, the approximate treatments of Q discussed in this paper can be used to obtain reasonable results.