Dynamic versus static fission paths with realistic interactions

Abstract

The properties of dynamic (least action) fission paths are analyzed and compared to the ones of the more traditional static (least energy) paths. Both the BCPM and Gogny D1M energy density functionals are used in the calculation of the HFB constrained configurations providing the potential energy and collective inertias. The action is computed as in the WKB method. A full variational search of the least-action path over the complete variational space of HFB wave functions is cumbersome and probably unnecessary if the relevant degrees of freedom are identified. In this paper, we consider the particle number fluctuation degree of freedom that explores the amount of pairing correlations in the wave function. For a given shape, the minimum action can be up a factor of three smaller than the action computed for the minimum energy state with the same shape. The impact of this reduction on the lifetimes is enormous and dramatically improves the agreement with experimental data in the few examples considered.

5 pages, 2 figures

References in corpus (4)

• Structure properties of ${}^{226}$Th and ${}^{256,258,260}$Fm fission fragments: mean field analysis with the Gogny force
• Surface Symmetry Energy of Nuclear Energy Density Functionals
• Application of the gradient method to Hartree-Fock-Bogoliubov theory
• Microscopic description of fission in neutron-rich plutonium isotopes with the Gogny-D1M energy density functional

Cited by in corpus (5)

• Pairing-induced speedup of nuclear spontaneous fission
• Spectroscopy of quadrupole and octupole states in rare-earth nuclei from a Gogny force
• Microscopic description of fission in neutron-rich plutonium isotopes with the Gogny-D1M energy density functional
• First applications of Fayans functional to deformed nuclei
• Multi-dimensional fission model with a complex absorbing potential