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The microscopic center-of-mass (c.m.) correction energies for nuclei rangingfrom Oxygen to Calcium are systematically calculated by both spherical andaxially deformed relativistic mean-field (RMF) models with the effectiveinteraction PK1. The microscopic c.m. correction energies strongly depend onthe isospin as well as deformation and deviate from the phenomenological ones.The deformation effect is discussed in detail by comparing the deformed withthe spherical RMF calculation. It is found that the direct and exchange termsof the c.m. correction energies are strongly correlated with the densitydistribution of nuclei and are suppressed in the deformed case.

Deformation effect on the center-of-mass correction energy in nuclei ranging from Oxygen to Calcium