Relativistic Hartree-Bogoliubov calculations with finite range pairing forces

We propose a relativistic extension of Hartree-Bogoliubov theory on the basis of relativistic mean field theory. Pairing correlations are taken into account by an effective interaction of finite range adjusted by Gogny and his group. This allows a fully self-consistent description of pairing correlations over the entire periodic table. The method is applied for the investigation of several isotope chains of spherical Pb, Sn, and Zr nuclei with magic proton configurations.