  The relativistic Hartree-Bogoliubov (RHB) model is extended to include
density dependent meson-nucleon couplings. The effective Lagrangian is
characterized by a phenomenological density dependence for the $\sigma$,
$\omega$ and $\rho$ meson-nucleon vertex functions, adjusted to properties of
nuclear matter and finite nuclei. Pairing correlations are described by the
pairing part of the finite range Gogny interaction. The new density-dependent
effective interaction DD-ME1 is tested in the analysis of the equations of
state for symmetric and asymmetric nuclear matter, and of ground-state
properties of the Sn and Pb isotopic chains. Results of self-consistent RHB
calculations are compared with experimental data, and with results previously
obtained in the RHB model with non-linear self-interactions, as well as in the
density dependent relativistic hadron field (DDRH) model. Parity-violating
elastic electron scattering on Pb and Sn nuclei is calculated using a
relativistic optical model with inclusion of Coulomb distortion effects, and
the resulting asymmetry parameters are related to the neutron ground-state
density distributions.
