Generalized time-dependent generator coordinate method for small and large amplitude collective motion (II): pairing correlations and fission

The generalized time-dependent generator coordinate method (TD-GCM), developed in the first part of this work and applied to small and large amplitude collective motion in nuclei, is here extended to include pairing correlations. The correlated GCM nuclear wave function is expressed in terms of time-dependent generator states and weight functions. The particle-hole channel of the effective interaction is determined by a Hamiltonian derived from an energy density functional, while pairing is treated dynamically in the standard BCS approximation with time-dependent pairing tensor and single-particle occupation probabilities. With the inclusion of pairing correlations, various time-dependent phenomena in open-shell nuclei can be described more realistically. The model is applied to the description of saddle-to-scission dynamics of induced fission. The generalized TD-GCM charge yields and total kinetic energy distribution for the fission of $^{240}$Pu, are compared to those obtained using the standard time-dependent density functional theory (TD-DFT) approach, and with available data.Comment: 24 pages,9 figures. arXiv admin note: text overlap with arXiv:2304.1336