  Given the promising features of the recently proposed Barcelona-Catania-Paris
(BCP) functional \cite{Baldo.08}, it is the purpose of this paper to still
improve on it. It is, for instance, shown that the number of open parameters
can be reduced from 4-5 to 2-3, i.e. by practically a factor of two. One
parameter is tightly fixed by a fine-tuning of the bulk, a second by the
surface energy. The third is the strength of the spin-orbit potential on which
the final result does not depend within the scatter of the values used in
Skyrme and Gogny like functionals. An energy rms value of 1.58 MeV is obtained
from a fit of these three parameters to the 579 measured masses reported in the
Audi and Waspra 2003 compilation. This rms value compares favorably with the
one obtained using other successful mean field theories. Charge radii are also
well reproduced when compared with experiment. The energies of some excited
states, mostly the isoscalar giant monopole resonances, are studied within this
model as well.
