Beyond the relativistic Hartree mean-field approximation: Energy dependent effective mass

The standard relativistic mean-field model is extended by including dynamical effects that arise in the coupling of single-nucleon motion to collective surface vibrations. A phenomenological scheme, based on a linear ansatz for the energy dependence of the scalar and vector components of the nucleon self-energy for states close to the Fermi surface, allows a simultaneous description of binding energies, radii, deformations, and single-nucleon spectra in a self-consistent relativistic framework. The model is applied to the spherical doubly closed-shell nuclei ${}^{132}\mathrm{Sn}$ and ${}^{208}\mathrm{Pb}.$