HUPIN, G.; LACROIX, Denis; BENDER, M.

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HUPIN, G.
Grand Accélérateur National d'Ions Lourds [GANIL]

LACROIX, Denis
Grand Accélérateur National d'Ions Lourds [GANIL]

BENDER, M.
Centre d'Etudes Nucléaires de Bordeaux Gradignan [CENBG]

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The Multi-Reference Energy Density Functional (MR-EDF) approach (also called configuration mixing or Generator Coordinate Method), that is commonly used to treat pairing in finite nuclei and project onto particle number, is re-analyzed. It is shown that, under certain conditions, the MR-EDF energy can be interpreted as a functional of the one-body density matrix of the projected state with good particle number. Based on this observation, we propose a new approach, called Symmetry-Conserving EDF (SC-EDF), where the breaking and restoration of symmetry are accounted for simultaneously. We show, that such an approach is free from pathologies recently observed in MR-EDF and can be used with a large flexibility on the density dependence of the functional.< Réduire

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Centre d'Études Nucléaires de Bordeaux Gradignan (CENBG)