Fission barriers and probabilities of spontaneous fission for elements with Z$\ge$100

Abstract

This is a short review of methods and results of calculations of fission barriers and fission half-lives of even-even superheavy nuclei. An approvable agreement of the following approaches is shown and discussed: The macroscopic-microscopic approach based on the stratagem of the shell correction to the liquid drop model and a vantage point of microscopic energy density functionals of Skyrme and Gogny type selfconsistently calculated within Hartree-Fock-Bogoliubov method. Mass parameters are calculated in the Hartree-Fock-Bogoliubov cranking approximation. A short part of the paper is devoted to the nuclear fission dynamics. We also discuss the predictive power of Skyrme functionals applied to key properties of the fission path of ${}^{266}$Hs. It applies the standard techniques of error estimates in the framework of a ${\chi }^2$ analysis.

28 pages, 16 figures, contribution to Special Issue on SHE, submitted to Nuclear Physics A

References in corpus (8)

• The Skyrme Interaction in finite nuclei and nuclear matter
• Fission Barriers of Compound Superheavy Nuclei
• Pairing-induced speedup of nuclear spontaneous fission
• Dynamic versus static fission paths with realistic interactions
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• Microscopic description of fission in neutron-rich plutonium isotopes with the Gogny-D1M energy density functional
• Error estimates for the Skyrme-Hartree-Fock model
• Pairing properties of superheavy nuclei

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