%0 Journal Article %T A Dirac-Hartree-Bogoliubov approximation for finite nuclei %A B. V. Carlson %A D. Hirata %J Physics %D 2000 %I arXiv %R 10.1103/PhysRevC.62.054310 %X We develop a complete Dirac-Hartree-Fock-Bogoliubov approximation to the ground state wave function and energy of finite nuclei. We apply it to spin-zero proton-proton and neutron-neutron pairing within the Dirac-Hartree-Bogoliubov approximation (we neglect the Fock term), using a zero-range approximation to the relativistic pairing tensor. We study the effects of the pairing on the properties of the even-even nuclei of the isotopic chains of Ca, Ni and Sn (spherical) and Kr and Sr (deformed), as well as the $N$=28 isotonic chain, and compare our results with experimental data and with other recent calculations. %U http://arxiv.org/abs/nucl-th/0006006v1