Latest results of Skyrme-Hartree-Fock-Bogoliubov mass formulas

The latest developments made in deriving accurate mass predictions within the microscopic Skyrme Hartree-Fock-Bogolyubov (HFB) approach are described. In particular, all our previous HFB mass models up to and including HFB-9 suffered from the defect of excessively strong pairing, as a result of the pairing parameters being fitted freely to the mass data. Within the same HFB framework, and maintaining the condition that neutron matter be fitted, we construct new models in which the pairing is constrained in such a way as to bring down the spectral pairing gap to be close to the experimental even-odd differences. The corresponding HFB model is shown to provide more reliable input for nuclear level density calculation. In addition, a renewed attention has been paid to an accurate determination of fission barriers on the basis of the same HFB approach. It is shown that with the introduction of a phenomenological vibrational correction, a good agreement with experimental fission barriers can be obtained without deteriorating the mass fit