Dirac-Hartree-Bogoliubov approximation for finite nuclei - art. no. 054310

We develop a complete Dirac-Hartree-Fock-Bogoliubov approximation to the gr ound state wave function and energy of finite nuclei. We apply it to spin-z ero proton-proton and neutron-neutron pairing within the Dirac-Hartree-Bogo liubov approximation (we neglect the Fock term), using a zero-range approxi mation to the relativistic pairing tensor. We study the effects of the pair ing 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 isoto nic chain, and compare our results with experimental data and with other re cent calculations.