Cluster mean-field description of α emission

We show that the Hartree-Fock-Bogoliubov (HFB) method is able to describe experimental values of alpha decay widths by including a residual nucleon-nucleon surface Gaussian interaction (SGI) within the standard procedure used to calculate the nuclear mean field. We call this method the cluster HFB (CHFB) approach. In this way we correct the deficient asymptotic behavior of the corresponding single-particle wave functions generated by the standard mean field. The corrected mean field becomes a sum between the standard mean Woods-Saxon-like field and a cluster Gaussian component centered at the same radius as the SGI. Thus, we give a confirmation of the mean field plus cluster potential structure, which was assumed in our previous work on alpha-decay widths. Systematic calculations evidence the linear correlation between the SGI strength and fragmentation potential, allowing for reliable predictions concerning the half-lives of superheavy emitters.