Consequences of the center-of-mass correction in nuclear mean-field models

We study the influence of the scheme for the correction for spurious center -of-mass motion on the fit of effective interactions for self-consistent nu clear mean-field calculations. We find that interactions with very simple c enter-of-mass correction have significantly larger surface coefficients tha n interactions for which the center-of-mass correction was calculated for t he actual many-body state during the fit. The reason for that is that the e ffective interaction has to counteract the wrong trends with nucleon number of all simplified schemes for center-of-mass correction which puts a wrong trend with mass number into the effective interaction itself. The effect b ecomes clearly visible when looking at the deformation energy of largely de formed systems, e.g. superdeformed states or fission barriers of heavy nucl ei.