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 Quasiparticle Time Blocking Approximation is applied to nuclear excitations in Sn-132 and Pb-208. 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.