Self-consistent calculations within the Green's function method   including particle-phonon coupling and the single-particle continuum
  The Green's function method in the \emph{Quasiparticle Time Blocking Approximation} is applied to nuclear excitations in $^{132}$Sn and $^{208}$Pb. The calculations are performed self-consistently using a Skyrme interaction. The method combines the conventional RPA with an exact single-particle continuum treatment and considers in a consistent way the particle-phonon coupling. We reproduce not only the experimental values of low- and high-lying collective states but we also obtain fair agreement with the data of non-collective low-lying states that are strongly influenced by the particle-phonon coupling. 
N. Lyutorovich, J. Speth, A. Avdeenkov, F. Gruemmer, S. Kamerdzhiev,   S. Krewald, and V.I. Tselyaev