We use the Peierls-Yoccoz projection method to evaluate the center-of-mass correction of a relativistic system of nucleons and sigma and omega mesons, described in a mean-field Hartree approach. This correction for 4He, 16O and 40Ca is compared with the pure harmonic oscillator center-of-mass energy correction.
Peierls-Yoccoz projection method; Center-of-mass correction