Coulomb displacement energies in relativistic and non-relativistic self-consistent models

Coulomb displacement energies in mirror nuclei are comparatively analyzed in Dirac-Hartree and Skyrme-Hartree-Fock models. Using a non-linear effective lagrangian fitted on ground-state properties of finite nuclei, it is found that the predictions of relativistic models are lower than those of Hartree-Fock calculations with a Skyrme force. The main sources of reduction are the kinetic energy and the Coulomb-nuclear interference potential. The discrepancy with the data is larger than in the Skyrme-Hartree-Fock case.