Cluster mean-field description of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>α</mml:mi></mml:math> 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 standard procedure used calculate nuclear mean field. call this Cluster HFB (CHFB) approach. In way we correct deficient asymptotic behaviour corresponding single-particle (sp) wave functions generated The corrected field becomes sum between Woods-Saxon-like and cluster component centered at same radius as SGI. Thus, give confirmation plus potential structure, which was assumed in our previous work on alpha-decay widths. Systematic calculations evidence linear correlation SGI strength fragmentation potential, allowing for reliable predictions concerning half lives superheavy emitters.