In this work we test the validity of a Hartree-Fock plus
Bardeen-Cooper-Schrieffer model in which a finite-range interaction is used in
the two steps of the calculation by comparing the results obtained to those
found in a fully self-consistent Hartree-Fock-Bogoliubov calculations using the
same interaction.Specifically, we consider the Gogny-type D1S and D1M forces.
We study a wide range of spherical nuclei, far from the stability line, in
various regions of the nuclear chart, from oxygen to tin isotopes. We calculate
various quantities related to the ground state properties of these nuclei, such
as binding energies, radii, charge and density distributions and elastic
electron scattering cross sections. The pairing effects are studied by direct
comparison with the Hartree-Fock results. Despite of its relative simplicity,
in most of the cases, our model provides results very close to those of the
Hartree-Fock-Bogoliubov calculations, and it reproduces rather well the
empirical evidences of pairing effects in the nuclei investigated.Comment: 28 pages, 13 figures. Accepted for publication in J. Phys.
