The neutron and proton densities are expected to undergo
an evolution when the proton and neutron numbers vary considerably.
We would like to combine the modified Hartree-Fock approach (see above)
together with a more phenomenological method based on two average potentials
for each kind of particles and modified liquid drop model.
In a parallel way, a large excess of neutrons offers
the possibility to have different deformations for proton and
neutron densities in medium and heavy nuclei. Microscopic theories
have already been applied for this purpose and it was found that the
absolute value of the difference between the proton and neutron deformations
could even exceed 10% of the global deformation.
It will be also interesting to investigate the difference of density distribution
deformations of both kind of particles along the path to fission and for
the shape isomers. A preliminary study of this effect was already done
on basis of the HFB calculation with Gogny force.
We would like to continue our searching of the bubble or semi-bubble structure in the region of neutron-deficient superheavy nuclei. The HFB calculations with Gogny forces as well as some estimates using the ETF and the Skyrme forces have shown that such exotic structures of nuclei could exist.