Functional approach for pairing in finite systems: How to de ne restoration of broken symmetries in Energy Density Functional theory ? - Archive ouverte HAL Access content directly
Conference Papers Year : 2011

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

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G. Hupin
David Lacroix
M. Bender

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.

Dates and versions

in2p3-00642108 , version 1 (17-11-2011)

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Cite

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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