Fission dynamics within time-dependent Hartree-Fock: deformation-induced fission

Abstract

Background: Nuclear fission is a complex large-amplitude collective decay mode in heavy nuclei. Microscopic density functional studies of fission have previously concentrated on adiabatic approaches based on constrained static calculations ignoring dynamical excitations of the fissioning nucleus, and the daughter products. Purpose: To explore the ability of dynamic mean-field methods to describe fast fission processes beyond the fission barrier, using the nuclide ${}^{240}$Pu as an example. Methods: Time-dependent Hartree-Fock calculations based on the Skyrme interaction are used to calculate non-adiabatic fission paths, beginning from static constrained Hartree-Fock calculations. The properties of the dynamic states are interpreted in terms of the nature of their collective motion. Fission product properties are compared to data. Results: Parent nuclei constrained to begin dynamic evolution with a deformation less than the fission barrier exhibit giant-resonance-type behaviour. Those beginning just beyond the barrier explore large amplitude motion but do not fission, whereas those beginning beyond the two-fragment pathway crossing fission to final states which differ according to the exact initial deformation. Conclusions: Time-dependent Hartree-Fock is able to give a good qualitative and quantitative description of fast fission, provided one begins from a sufficiently deformed state.

Amended version, accepted for publication in Phys. Rev. C. 22 pages, 20 figures, 7 tables

References in corpus (6)

• The Skyrme Interaction in finite nuclei and nuclear matter
• Particle transfer reactions with the time-dependent Hartree-Fock theory using a particle number projection technique
• Excitation energy dependence of fission in the mercury region
• Fission modes of 256Fm and 258Fm in a microscopic approach
• Benchmarking Nuclear Fission Theory
• Microscopic description of fission in neutron-rich plutonium isotopes with the Gogny-D1M energy density functional

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