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Background: Heavy atomic nuclei are often described using theHartree-Fock-Bogoliubov (HFB) method. In principle, this approach takes intoaccount Pauli effects and pairing correlations while other correlation effectsare mimicked through the use of effective density-dependent interactions.  Purpose: Investigate the influence of higher order correlation effects onnuclear binding energies using Skyrme's effective interaction.  Methods: A cut-off in relative momenta is introduced in order to removeultraviolet divergences caused by the zero-range character of the interaction.Corrections to binding energies are then calculated using thequasiparticle-random-phase approximation (QRPA) and second order many-bodyperturbation theory (MBPT2).  Result: Contributions to the correlation energies are evaluated for severalisotopic chains and an attempt is made to disentangle which parts give rise tofluctuations that may be difficult to incorporate on the HFB level. Thedependence of the results on the cut-off is also investigated.  Conclusions: The improved interaction allows explicit summations ofperturbation series which is useful for the description of some nuclearobservables. However, refits of the interaction parameters are needed to obtainmore quantitative results.

Fluctuating parts of nuclear ground state correlation energies