Mean square radii of nuclei calculated with the Woods-Saxon potential

The realistic single-particle Woods-Saxon potential was used to evaluate the mean-square charge radii of even-even nuclei. The results are compared with experimental data and theoretical values obtained with the single-particle Nilsson potential. An evidence for a need of improving of the universal'' parametrization of the deformed Woods-Saxon Hamiltonian, suggested earlier, is investigated in more detail and a possible solution of the optimization problem is formulated.