Generalized time-dependent generator coordinate method for small and large amplitude collective motion

Abstract

An implementation of the generalized time-dependent generator coordinated method (TD-GCM) is developed, that can be applied to the dynamics of small- and large-amplitude collective motion of atomic nuclei. Both the generator states and weight functions of the GCM correlated wave function depend on time. The initial generator states are obtained as solutions of deformation-constrained self-consistent mean-field equations, and are evolved in time by the standard mean-field equations of nuclear density functional theory (TD-DFT). The TD-DFT trajectories are used as a generally non-orthogonal and overcomplete basis in which the TD-GCM wave function is expanded. The weights, expressed in terms of a collective wave function, obey a TD-GCM (integral) equation. In this explorative paper, the generalized TD-GCM is applied to the excitation energies and spreading width of giant resonances, and to the dynamics of induced fission. The necessity of including pairing correlations in the basis of TD-DFT trajectories is demonstrated in the latter example.

arXiv comment30 pages,11 figures

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Cited by in corpus (9)

• Generalized time-dependent generator coordinate method for induced fission dynamics
• Multinucleon transfer with time-dependent covariant density functional theory
• Generation, dynamics, and correlations of the fission fragments' angular momenta
• Entanglement in multinucleon transfer reactions
• Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions (2nd edition)
• Time-dependent density functional theory study of induced-fission dynamics of ${}^{226}$Th
• Multiconfigurational time-dependent density functional theory for atomic nuclei: Technical and numerical aspects
• Emulating generator coordinate method with extended eigenvector continuation: Lipkin-Meshkov-Glick model
• A critical assessment of the current implementations of the Generator Coordinate Method