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

arXiv:1503.01608 · doi:10.1016/j.nuclphysa.2015.06.002

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 $χ^2$ analysis.

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