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

Journal Article · Fri Jul 15 00:00:00 EDT 2011 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.84.014310· OSTI ID:21596556

Le Bloas, J; Quentin, P; Bonneau, L ^[1]; Koh, Meng-Hock ^[1]; Ithnin, J I. A. ^[2]

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1. Universite Bordeaux 1, CNRS/IN2P3, Centre d'Etudes Nucleaires de Bordeaux-Gradignan, Gradignan F-33175 (France)
2. Department of Physics, University of Malaya, 50603 Kuala Lumpur (Malaysia)

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.

• OSTI ID: 21596556
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 84, Issue 1; Other Information: DOI: 10.1103/PhysRevC.84.014310; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BCS THEORY
COULOMB FIELD
EVEN-EVEN NUCLEI
HARTREE-FOCK METHOD
HEAVY NUCLEI
INTERACTIONS
LIGHT NUCLEI
MASS NUMBER
PROTONS
SHELL MODELS
SKYRME POTENTIAL
TRANSACTINIDE ELEMENTS
APPROXIMATIONS
BARYONS
CALCULATION METHODS
ELECTRIC FIELDS
ELEMENTARY PARTICLES
ELEMENTS
FERMIONS
HADRONS
MATHEMATICAL MODELS
NUCLEAR MODELS
NUCLEI
NUCLEON-NUCLEON POTENTIAL
NUCLEONS
POTENTIALS
TRANSPLUTONIUM ELEMENTS
TRANSURANIUM ELEMENTS