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

Abstract : 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.
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Preprints, Working Papers, ...
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http://hal.in2p3.fr/in2p3-00600240
Contributor : Michel Lion <>
Submitted on : Tuesday, June 14, 2011 - 12:36:14 PM
Last modification on : Friday, September 4, 2020 - 9:40:03 PM

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  • HAL Id : in2p3-00600240, version 1
  • ARXIV : 1105.5892

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G. Hupin, Denis Lacroix, M. Bender. Functional approach for pairing in finite systems: How to define restoration of broken symmetries in Energy Density Functional theory ?. 2011. ⟨in2p3-00600240⟩

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