Time-dependent generator coordinate method study of fission: mass parameters

Abstract

Collective mass tensors derived in the cranking approximation to the adiabatic time-dependent Hartree-Fock-Bogoliubov (ATDHFB) method are employed in a study of induced fission dynamics. Together with a collective potential determined in deformation-constrained self-consistent mean-field calculations based on nuclear energy density functionals, the mass tensors specify the collective Hamiltonian that governs the time evolution of the nuclear wave function from an initial state at equilibrium deformation, up to scission and the formation of fission fragments. In an illustrative calculation of low-energy induced fission of ${}^{228}$Th, ${}^{230}$Th, ${}^{234}$U, and ${}^{240}$Pu, we compare the non-perturbative and perturbative cranking ATDHFB mass tensors in the plane of axially-symmetric quadrupole and octupole deformations, as well as the resulting charge yields.

7 pages, 7 figures. arXiv admin note: text overlap with arXiv:1902.09535

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Cited by in corpus (8)

• Microscopic analysis of induced nuclear fission dynamics
• Time-dependent generator coordinate method study of fission: dissipation effects
• Angular momentum and parity projected multidimensionally constrained relativistic Hartree-Bogoliubov model
• Theoretical description of fission yields: towards a fast and efficient global model
• Extended time-dependent generator coordinate method study of induced fission (II): total kinetic energy distribution
• Nuclear energy density functionals from empirical ground-state densities
• Ground state and fission properties of even-$A$ uranium isotopes from multidimensionally-constrained relativistic mean field model
• Microscopic self-consistent description of induced fission: dynamical pairing degree of freedom