Particle-number restoration within the energy density functional formalism: Nonviability of terms depending on noninteger powers of the density matrices
DUGUET, T.
Institut de Recherches sur les lois Fondamentales de l'Univers [IRFU]
National Superconducting Cyclotron Laboratory [NSCL]
Michigan State University [East Lansing]
Institut de Recherches sur les lois Fondamentales de l'Univers [IRFU]
National Superconducting Cyclotron Laboratory [NSCL]
Michigan State University [East Lansing]
BENDER, M.
Centre d'Etudes Nucléaires de Bordeaux Gradignan [CENBG]
Institut National de Physique Nucléaire et de Physique des Particules du CNRS [IN2P3]
Centre d'Etudes Nucléaires de Bordeaux Gradignan [CENBG]
Institut National de Physique Nucléaire et de Physique des Particules du CNRS [IN2P3]
BENNACEUR, K.
Institut de Recherches sur les lois Fondamentales de l'Univers [IRFU]
Institut National de Physique Nucléaire et de Physique des Particules du CNRS [IN2P3]
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Institut de Recherches sur les lois Fondamentales de l'Univers [IRFU]
Institut National de Physique Nucléaire et de Physique des Particules du CNRS [IN2P3]
DUGUET, T.
Institut de Recherches sur les lois Fondamentales de l'Univers [IRFU]
National Superconducting Cyclotron Laboratory [NSCL]
Michigan State University [East Lansing]
Institut de Recherches sur les lois Fondamentales de l'Univers [IRFU]
National Superconducting Cyclotron Laboratory [NSCL]
Michigan State University [East Lansing]
BENDER, M.
Centre d'Etudes Nucléaires de Bordeaux Gradignan [CENBG]
Institut National de Physique Nucléaire et de Physique des Particules du CNRS [IN2P3]
Centre d'Etudes Nucléaires de Bordeaux Gradignan [CENBG]
Institut National de Physique Nucléaire et de Physique des Particules du CNRS [IN2P3]
BENNACEUR, K.
Institut de Recherches sur les lois Fondamentales de l'Univers [IRFU]
Institut National de Physique Nucléaire et de Physique des Particules du CNRS [IN2P3]
< Leer menos
Institut de Recherches sur les lois Fondamentales de l'Univers [IRFU]
Institut National de Physique Nucléaire et de Physique des Particules du CNRS [IN2P3]
Idioma
en
Article de revue
Este ítem está publicado en
Physical Review C. 2009, vol. 79, p. 044320
American Physical Society
Resumen en inglés
We 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 ...Leer más >
We 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.< Leer menos
Palabras clave en inglés
Energy density functional
particle number restoration
spurious contributions
Orígen
Importado de HalCentros de investigación