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

TL;DR

This paper reviews methods for calculating fission barriers and half-lives of superheavy nuclei, comparing macroscopic-microscopic and microscopic approaches, and discusses their predictive accuracy and nuclear fission dynamics.

Contribution

It provides a comparative analysis of different theoretical models for superheavy nuclei fission properties and evaluates their predictive capabilities using error estimates.

Findings

Good agreement between macroscopic-microscopic and microscopic approaches

Skyrme functionals show predictive power for fission path properties

Error analysis enhances understanding of model uncertainties

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.