Description of the multidimensional potential energy surface in fission of ${}^{252}$Cf and ${}^{258}$No

Abstract

The microscopic studies on nuclear fission require the evaluation of the potential energy surface as a function of the collective coordinates. A reasonable choice of constraints on multipole moments should be made to describe the topography of the surface completely within a reasonable amount of computing time. We present a detailed analysis of fission barriers in the self-consistent Hartree-Fock-Bogoliubov approach with the D1S parametrization of the Gogny nucleon-nucleon interaction. Two heavy isotopes representing different spontaneous fission modes - ${}^{252}$Cf (asymmetric) and ${}^{258}$No (bimodal) - have been chosen for the analysis. We have shown the existence of complicated structures on the energy surface that can not be fully described in two-dimensional calculations. We analyze apparent problems that can be encountered in this type of calculations: multiple solutions for given constraints and transitions between various potential energy surfaces. We present possible solutions on how to deal with these issues.

arXiv comment17 pages, 13 figures

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Cited by in corpus (9)

• Hartree-Fock-Bogoliubov study of quantum shell effects on the path to fission in ${}^{180}$Hg, ${}^{236}$U and ${}^{256}$Fm
• Neural Network Emulation of Spontaneous Fission
• Scission configuration in the self-consistent calculations with neck constraint
• Smoothing of one- and two-dimensional discontinuities in potential energy surfaces
• Microscopic Calculation of Fission Product Yields for Odd-Mass Nuclei
• Three-dimensional potential energy surface for fission of ${}^{236}$U within covariant density functional theory
• Multimodal fission from self-consistent calculations
• Probing the structural evolution along the fission path in the superheavy nucleus ${}^{256}$Sg
• Microscopic pairing in fission dynamics