Résumé du preprint Irfu-09-111

Irfu-09-111
Performing safe multi-reference energy density functional calculations
T. Duguet, M. Bender, D. Lacroix
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.