Generalized time-dependent generator coordinate method for induced fission dynamics

Abstract

The generalized time-dependent generator coordinate method (TD-GCM) is 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 TDGCM charge yields and total kinetic energy distribution for the fission of 240Pu, are compared to those obtained using the standard time-dependent density functional theory (TD-DFT) approach, and with available data.

arXiv comment25 pages,9 figures. arXiv admin note: text overlap with arXiv:2304.13369

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Cited by in corpus (6)

• Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions (2nd edition)
• Entanglement in multinucleon transfer reactions
• Time-dependent density functional theory study of induced-fission dynamics of ${}^{226}$Th
• Non-Markovian character and irreversibility of real-time quantum many-body dynamics
• Microscopic theory of angular momentum distributions across the full range of fission fragments
• A critical assessment of the current implementations of the Generator Coordinate Method