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

hal.structure.identifierGrand Accélérateur National d'Ions Lourds [GANIL]
dc.contributor.authorHUPIN, G.
hal.structure.identifierGrand Accélérateur National d'Ions Lourds [GANIL]
dc.contributor.authorLACROIX, Denis
hal.structure.identifierCentre d'Etudes Nucléaires de Bordeaux Gradignan [CENBG]
dc.contributor.authorBENDER, M.
dc.description.abstractEnThe 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.
dc.language.isoen
dc.title.enFunctional approach for pairing in finite systems: How to define restoration of broken symmetries in Energy Density Functional theory ?
dc.typeDocument de travail - Pré-publication
dc.subject.halPhysique [physics]/Physique Nucléaire Théorique [nucl-th]
dc.identifier.arxiv1105.5892
hal.identifierin2p3-00600240
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//in2p3-00600240v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=HUPIN,%20G.&LACROIX,%20Denis&BENDER,%20M.&rft.genre=preprint


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