A Brueckner-Hartree-Fock calculation of the deformed nuclei ${\mathrm{C}}^{12}$ and ${\mathrm{Ne}}^{20}$ becomes possible with the use of a density-dependent effective interaction to produce effective $G$ matrix elements. An average-density approximation is employed. The inclusion of the rearrangement energy in the calculation leads to an improved estimate of the binding energies. The calculation is done in the matrix representation with deformed Cartesian oscillator functions as a basis. The effects of mixing deformed major shells are compared with the mixing implicit in the Nilsson model.

DOI:https://doi.org/10.1103/PhysRevC.5.287