Least action description of dynamic pairing correlations in the fission of curium and californium isotopes based on the Gogny energy density functional

The impact of dynamic pairing correlations and their interplay with Coulomb antipairing effects on the systematic spontaneous fission half-lives for nuclei $^{240-250}$Cm $^{240-250}$Cf is analyzed, using a hierarchy approximations based parametrization D1M Gogny energy density functional (EDF). First, constrained Hartree-Fock-Bogoliubov (HFB) approximation used to compute deformed mean-field configurations, zero-point quantum corrections collective inertias either by Slater exchange neglecting or fully considering channels interaction. Next, properties {\it{least action}} energy}} paths are compared. In case, identified as relevant degree freedom in order minimize action entering Wentzel-Kramers-Brillouin (WKB) tunneling probability through barrier. Irrespective treatment antipairing, it shown that path obtained taking into account leads stronger significantly reduce $t_{SF}$ improving thereby comparison experiment several orders magnitude. It also effect is, large extent, washed out procedure therefore values two different treatments similar quality.