Exact Coulomb exchange calculations in the Skyrme-Hartree-Fock-BCS framework and tests of the Slater approximation

J. Le Bloas; M.H. Koh; P. Quentin; L. Bonneau; J.I.A. Ithnin

HAL : in2p3-00621283, version 1

DOI : 10.1103/PhysRevC.84.014310

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Physical Review C 84 (2011) 014310

Exact Coulomb exchange calculations in the Skyrme-Hartree-Fock-BCS framework and tests of the Slater approximation

J. Le Bloas¹, M.H. Koh¹, P. Quentin¹, L. Bonneau¹, J.I.A. Ithnin

(12/07/2011)

An exact treatment of the Coulomb interaction is performed within the Skyrme-Hartree-Fock/Bardeen-Cooper-Schrieffer approach for even-even nuclei ranging from light to superheavy nuclei. A test of the usual Slater approximation for the exchange part is carried out. The error made on the exchange term of the Coulomb interaction when using this approximation follows two schematic patterns. Beyond a decreasing behavior when increasing the mass number A, a more important structural effect has been found. The relative error ranges roughly from 0 to 8% being maximal for light closed proton (sub-)shell nuclei and minimal for open proton (sub-)shell nuclei.

1 :	CENBG - Centre d'Etudes Nucléaires de Bordeaux Gradignan

équipe(s) de recherche : THEO

Thème(s)

Physique/Physique Nucléaire Théorique


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Contributeur : Virginie Mas <>
Déposé pour le compte de : Ludovic Bonneau <>
Soumis le : Samedi 10 Septembre 2011, 00:02:08
Dernière modification le : Lundi 28 Novembre 2011, 14:49:10