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Particle-number restoration within the energy density functional formalism: Nonviability of terms depending on noninteger powers of the density matrices

hal.structure.identifierInstitut de Recherches sur les lois Fondamentales de l'Univers [IRFU]
hal.structure.identifierNational Superconducting Cyclotron Laboratory [NSCL]
hal.structure.identifierMichigan State University [East Lansing]
dc.contributor.authorDUGUET, T.
hal.structure.identifierCentre d'Etudes Nucléaires de Bordeaux Gradignan [CENBG]
hal.structure.identifierInstitut National de Physique Nucléaire et de Physique des Particules du CNRS [IN2P3]
dc.contributor.authorBENDER, M.
hal.structure.identifierInstitut de Recherches sur les lois Fondamentales de l'Univers [IRFU]
hal.structure.identifierInstitut National de Physique Nucléaire et de Physique des Particules du CNRS [IN2P3]
dc.contributor.authorBENNACEUR, K.
hal.structure.identifierGrand Accélérateur National d'Ions Lourds [GANIL]
dc.contributor.authorLACROIX, D.
hal.structure.identifierInstitut National de Physique Nucléaire et de Physique des Particules du CNRS [IN2P3]
dc.contributor.authorLESINSKI, T.
dc.date.issued2009
dc.identifier.issn2469-9985
dc.description.abstractEnWe discuss the origin of pathological behaviors that have been recently identified in particle-number-restoration calculations performed within the nuclear energy density functional framework. A regularization method that removes the problematic terms from the multi-reference energy density functional and which applies (i) to any symmetry restoration- and/or generator-coordinate-method-based configuration mixing calculation and (ii) to energy density functionals depending only on integer powers of the density matrices, was proposed in [D. Lacroix, T. Duguet, M. Bender, arXiv:0809.2041] and implemented for particle-number restoration calculations in [M. Bender, T. Duguet, D. Lacroix, arXiv:0809.2045]. In the present paper, we address the viability of non-integer powers of the density matrices in the nuclear energy density functional. Our discussion builds upon the analysis already carried out in [J. Dobaczewski \emph{et al.}, Phys. Rev. C \textbf{76}, 054315 (2007)]. First, we propose to reduce the pathological nature of terms depending on a non-integer power of the density matrices by regularizing the fraction that relates to the integer part of the exponent using the method proposed in [D. Lacroix, T. Duguet, M. Bender, arXiv:0809.2041]. Then, we discuss the spurious features brought about by the remaining fractional power. Finally, we conclude that non-integer powers of the density matrices are not viable and should be avoided in the first place when constructing nuclear energy density functionals that are eventually meant to be used in multi-reference calculations.
dc.language.isoen
dc.publisherAmerican Physical Society
dc.subject.enEnergy density functional
dc.subject.enparticle number restoration
dc.subject.enspurious contributions
dc.title.enParticle-number restoration within the energy density functional formalism: Nonviability of terms depending on noninteger powers of the density matrices
dc.typeArticle de revue
dc.identifier.doi10.1103/PhysRevC.79.044320
dc.subject.halPhysique [physics]/Physique Nucléaire Théorique [nucl-th]
dc.identifier.arxiv0809.2049
bordeaux.journalPhysical Review C
bordeaux.page044320
bordeaux.volume79
bordeaux.peerReviewedoui
hal.identifierin2p3-00321224
hal.version1
hal.popularnon
hal.audienceNon spécifiée
hal.origin.linkhttps://hal.archives-ouvertes.fr//in2p3-00321224v1
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