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

G. Hupin 1 David Lacroix 1 M. Bender 2
2 THEORIE - Physique théorique
CENBG - Centre d'Etudes Nucléaires de Bordeaux Gradignan
Abstract : 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.
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Submitted on : Thursday, November 17, 2011 - 12:43:20 PM
Last modification on : Friday, November 13, 2020 - 10:44:03 AM

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G. Hupin, David Lacroix, M. Bender. Functional approach for pairing in finite systems: How to de ne restoration of broken symmetries in Energy Density Functional theory ?. Many-body corelations from dilute to dense nuclear systems (MBC 2011), 2011, Paris, France. pp.012056, ⟨10.1088/1742-6596/321/1/012056⟩. ⟨in2p3-00642108⟩

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