  Systematic investigation of the accuracy of the description of the energies
of deformed one-quasiparticle states has been performed in covariant density
functional theory in actinide and rare-earth mass regions. The sources of the
discrepancies between theory and experiment are analyzed. Although some
improvements in the description of ground state configurations and
one-quasiparticle spectra can be achieved by better parametrization of the
relativistic mean field Lagrangian, the analysis suggests that spectroscopic
quality of their description can be achieved only in theoretical framework
which takes into account particle-vibration coupling.
