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

doi:10.1088/1742-6596/321/1/012056

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

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

BENDER, M.
Physique théorique [THEORIE]

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Communication dans un congrès

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2011, Paris. 2011, vol. 321, p. 012056

Résumé en anglais

The Multi-Reference Energy Density Functional (MR-EDF) approach (also called con guration mixing or Generator Coordinate Method), that is commonly used to treat pairing in nite 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 exibility on the density dependence of the functional.< Réduire

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Functional approach for pairing in finite systems: How to de ne restoration of broken symmetries in Energy Density Functional theory ?

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