The relativistic mean field (RMF) approach describing the motion of independent particles in effective meson fields is extended by a microscopic theory of particle vibrational coupling. It leads to an energy dependence of the relativistic mass operator in the Dyson equation for the single-particle propagator. This equation is solved in the shell-model of Dirac states. As a result of the dynamics of particle-vibrational coupling we observe a noticeable increase of the level density near the Fermi surface. The shifts of the single-particle levels in the odd nuclei surrounding ${}^{208}\mathrm{Pb}$ and the corresponding distributions of the single-particle strength are discussed and compared with experimental data.

• Received 8 February 2006

DOI:https://doi.org/10.1103/PhysRevC.73.044328