  Deformed and spherical even-even nuclei are studied using a finite range
simple effective interaction within the Hartree-Fock-Bogoliubov mean field
approach. Different parameter sets of the interaction, corresponding to
different incompressibility, are constructed by varying the exponent gamma of
the density in the traditional density-dependent term. Ten of the twelve
parameters of these interactions are determined from properties of asymmetric
nuclear matter and spin polarized pure neutron matter. The two remaining
parameters are fitted to reproduce the experimental binding energies known in
620 even-even nuclei using several variants of the rotational energy
correction. The rms deviations for the binding energy depend on the value of
gamma and the way the rotational energy correction is treated but they can be
as low as 1.56 MeV, a value competitive with other renowned effective
interactions of Skyrme and Gogny type. Charge radii are compared to the
experimental values of 313 even-even nuclei and the rms deviation is again
comparable and even superior to the one of popular Skyrme and Gogny forces.
Emphasis is given to the deformation properties predicted with these
interactions by analyzing the Potential Energy Surfaces for several well
deformed nuclei and the fission barriers of some nuclei. Comparison of the
results with the experimental information, where available, as well as with the
results of the Gogny D1S force shows satisfactory agreement.
