  Subtracting the Strutinsky shell corrections from the selfconsistent energies
obtained within the Relativistic Mean Field Theory (RMFT) we have got estimates
for the macroscopic part of the binding energies of 142 spherical even-even
nuclei. By minimizing their root mean square deviations from the values
obtained with the Lublin-Srasbourg Drop (LSD) model with respect to the nine
RMFT parameters we have found the optimal set (NL4). The new parameters
reproduce also the radii of these nuclei with an accuracy comparable with that
obtained with the NL1 and NL3 sets.
