Configuration mixing calculations performed in terms of Skyrme, Gogny or relativistic Energy Density Functionals (EDF) rely on
extending the Single-Reference energy functional into non-diagonal EDF kernels.
The standard prescription to do so, based on an analogy with a Hamiltonian theory and the use of the generalized Wick theorem, is responsible for the recently observed divergences and steps in Multi-Reference calculations. We summarize the minimal solution
to this problem recently proposed~\\cite{Lac08} and applied with success to particle number
restoration~\\cite{Ben08}. Such a regularization method provides suitable corrections for EDF depending
on integer powers of one-body density matrices only. The specific case of fractional powers of the density~\\cite{Dug08}
is also briefly discussed. |