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

J. Le Bloas 1 M.H. Koh 1 P. Quentin 1 L. Bonneau 1 J.I.A. Ithnin
1 THEORIE - Physique théorique
CENBG - Centre d'Etudes Nucléaires de Bordeaux Gradignan
Abstract : 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.
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http://hal.in2p3.fr/in2p3-00621283
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Submitted on : Saturday, September 10, 2011 - 12:02:08 AM
Last modification on : Thursday, January 11, 2018 - 6:27:05 AM

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J. Le Bloas, M.H. Koh, P. Quentin, L. Bonneau, J.I.A. Ithnin. Exact Coulomb exchange calculations in the Skyrme-Hartree-Fock-BCS framework and tests of the Slater approximation. Physical Review C, American Physical Society, 2011, 84, pp.014310. ⟨10.1103/PhysRevC.84.014310⟩. ⟨in2p3-00621283⟩

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