  We study the bound states of anti-nucleons emerging from the lower continuum
in finite nuclei within the relativistic Hartree approach including the
contributions of the Dirac sea to the source terms of the meson fields. The
Dirac equation is reduced to two Schr\"{o}dinger-equivalent equations for the
nucleon and the anti-nucleon respectively. These two equations are solved
simultaneously in an iteration procedure.
  Numerical results show that the bound levels of anti-nucleons vary
drastically when the vacuum contributions are taken into account.
