Because of the rotational invariance of the nuclear Hamiltonian, there exists a density functional (DF) for nuclei that depends only on two scalar densities. Practical calculations boil down to radial, one-dimensional ones. Let Z,N,A ≡ Z+N be the proton, neutron and mass numbers, respectively. The nuclear HamiltonianH is known to be invariant under rotations. Therefore, besides Z and N, nuclear...

The current status of the application of covariant density functional theory to microscopic description of nuclear fission with main emphasis on superheavy nuclei (SHN) is reviewed. The softness of SHN in the triaxial plane leads to an emergence of several competing fission pathes in the region of the inner fission barrier in some of these nuclei. The outer fission barriers of SHN are considera...