Parametrization of the nuclear mean field within dirac formalism

yWe present selected properties of solutions to the Dirac equation with the Woods-Saxon type, in general deformed, mean-field potentials. A comparison of the results obtained with the Dirac form of the equation given by the Relativistic Mean Field (RMF) method, its usual Pauli-Schrodinger reduction and a generalized form of the latter will be discussed. A possibility of very important improvements in the description of the single-nucleon properties, and this while using a realistic form and values of position-dependent effective mass as suggested by the RMF method, is illustrated.