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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American Physical Society
2011
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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. |
first_indexed | 2024-03-05T18:43:43Z |
format | Article |
id | utm.eprints-29063 |
institution | Universiti Teknologi Malaysia - ePrints |
last_indexed | 2024-03-05T18:43:43Z |
publishDate | 2011 |
publisher | American Physical Society |
record_format | dspace |
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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