Abstract
A relativistic nuclear Hamiltonian is constructed, from which the relativistic Hartree and Hartree-Fock equations are derived. Then the Hartree equations are applied to $^{16}\mathrm{O}$ and $^{40}\mathrm{Ca}$ nuclei taking as input different relativistic one-boson-exchange potentials as well as the effective interaction of Walecka, introduced in his theory of highly condensed matter. Single-particle energies turn out to be of the correct magnitude. In particular, it is possible to explain the magnitude of the spin-orbit splitting without any free parameter.NUCLEAR STRUCTURE $^{16}\mathrm{O}$, $^{40}\mathrm{Ca}$; calculated single-particle binding energies. Relativistic Hartree-Fock method.
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