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arXiv · 2004.10089

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

Jie Zhao·Tamara Nikšić·Dario Vretenar·Shan-Gui Zhou
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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.

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Jie Zhao, Tamara Nikšić, Dario Vretenar, Shan-Gui Zhou. 2020-05-31. Time-dependent generator coordinate method study of fission: mass parameters. https://doi.org/10.1103/physrevc.101.064605

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