Sensitivity impacts owing to the variations in the type of zero-range pairing forces on the fission properties using the density functional theory

Using the Skyrme density functional theory, potential energy surfaces of \(^{240}\) ${}^{240}$ Pu with constraints on the axial quadrupole and octupole deformations( \(q_{20}\) $q_{20}$ and \(q_{30}\) $q_{30}$ ) were calculated. The volume-like and surface-like pairing forces, as well as a combination of these two forces, were used for the Hartree–Fock–Bogoliubov approximation. Variations in the least-energy fission path, fission barrier, pairing energy, total kinetic energy, scission line, and mass distribution of the fission fragments based on the different forms of the pairing forces were analyzed and discussed. The fission dynamics were studied based on the time-dependent generator coordinate method plus the Gaussian overlap approximation. The results demonstrated a sensitivity of the mass and charge distributions of the fission fragments on the form of the pairing force. Based on the investigation of the neutron-induced fission of \(^{239}\) ${}^{239}$ Pu, among the volume, mixed, and surface pairing forces, the mixed pairing force presented a good reproduction of the experimental data.