In recent years Covariant Density Functional Theory (CDFT) has been very successful for the description of ground state properties of nuclei all over the periodic table. Isospin properties of nuclei far from the valley of stability are used to improve the existing functionals. Modern parameter sets of the corresponding Lagrangian density are adjusted carefully to characteristic nuclei with explicit density dependence of the meson-nucleon couplings. They are tested in relativistic Hartree-Bogoliubov calculations of nuclear ground-states, in particular for the calculation of masses, and they are applied to the analysis of very recent data on super-heavy nuclei.
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