Exact coulomb exchange calculations in the skyrme-hartree-fock-BCS framework and tests of the slater approximation

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 ter...

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Main Authors: Le Bloas, Julien, Koh, Meng Hock, Quentin, Philippe, Bonneau, Ludovic, Ithnin, J. I. A.
Format: Article
Published: American Physical Society 2011
Subjects:
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author Le Bloas, Julien
Koh, Meng Hock
Quentin, Philippe
Bonneau, Ludovic
Ithnin, J. I. A.
author_facet Le Bloas, Julien
Koh, Meng Hock
Quentin, Philippe
Bonneau, Ludovic
Ithnin, J. I. A.
author_sort Le Bloas, Julien
collection ePrints
description 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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spelling utm.eprints-290632019-03-05T01:33:51Z http://eprints.utm.my/29063/ Exact coulomb exchange calculations in the skyrme-hartree-fock-BCS framework and tests of the slater approximation Le Bloas, Julien Koh, Meng Hock Quentin, Philippe Bonneau, Ludovic Ithnin, J. I. A. Q Science 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. American Physical Society 2011-07-11 Article PeerReviewed Le Bloas, Julien and Koh, Meng Hock and Quentin, Philippe and Bonneau, Ludovic and Ithnin, J. I. A. (2011) Exact coulomb exchange calculations in the skyrme-hartree-fock-BCS framework and tests of the slater approximation. Physical Review C - Nuclear Physics, 84 (1). ISSN 0556-2813 http://dx.doi.org/10.1103/PhysRevC.84.014310 DOI:10.1103/PhysRevC.84.014310
spellingShingle Q Science
Le Bloas, Julien
Koh, Meng Hock
Quentin, Philippe
Bonneau, Ludovic
Ithnin, J. I. A.
Exact coulomb exchange calculations in the skyrme-hartree-fock-BCS framework and tests of the slater approximation
title Exact coulomb exchange calculations in the skyrme-hartree-fock-BCS framework and tests of the slater approximation
title_full Exact coulomb exchange calculations in the skyrme-hartree-fock-BCS framework and tests of the slater approximation
title_fullStr Exact coulomb exchange calculations in the skyrme-hartree-fock-BCS framework and tests of the slater approximation
title_full_unstemmed Exact coulomb exchange calculations in the skyrme-hartree-fock-BCS framework and tests of the slater approximation
title_short Exact coulomb exchange calculations in the skyrme-hartree-fock-BCS framework and tests of the slater approximation
title_sort exact coulomb exchange calculations in the skyrme hartree fock bcs framework and tests of the slater approximation
topic Q Science
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