Nuclear single-particle states: dynamical shell model and energy density functional methods

We discuss different approaches to the problem of reproducing the observed features of nuclear single-particle spectra. In particular, we analyze the dominant energy peaks and the single-particle strength fragmentation, using the example of neutron states in (208)Pb. Our main emphasis is the interpretation of that fragmentation due to the particle-vibration coupling (PVC). We compare the results from PVC with recent energy density functional (EDF) approaches, and try to present a critical perspective.