Nuclear density-functional theory and fission of super-heavy elements

Abstract

We review the prediction of fission properties of super-heavy elements (SHE) by self-consistent mean-field models thereby concentrating on the widely used Skyrme-Hartree-Fock (SHF) approach. We explain briefly the theoretical tools: the SHF model, the calibration of model parameters together with statistical analysis of uncertainties and correlations, and the involved computation of fission lifetimes. We present an overview of fission stability in comparison to other decay channels over the whole landscape of SHE reaching deep into the $r$-process domain. The main emphasis lies on a detailed discussion of the various ingredients determining eventually the fission properties. The main result is that fission is an involved process which explores many different influences with almost equal share, basic bulk properties (also known as liquid-drop model parameters), pairing strengths, and shell effects. %

9 figures, 1 table

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• Covariant density functional theory input for r-process simulations in actinides and superheavy nuclei: the ground state and fission properties
• Many-body approach to superfluid nuclei in axial geometry
• Decay properties of undetected superheavy nuclei with Z>110
• Statistical correlations of nuclear quadrupole deformations and charge radii