Bogoliubov many-body perturbation theory for open-shell nuclei
A Rayleigh–Schrödinger many-body perturbation theory (MBPT) approach is introduced by making use of a particle-number-breaking Bogoliubov reference state to tackle (near-)degenerate open-shell fermionic systems. By choosing a reference state that solves the Hartree–Fock–Bogoliubov variational proble...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2018-11-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269318307457 |
| _version_ | 1818379735414079488 |
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| author | A. Tichai P. Arthuis T. Duguet H. Hergert V. Somà R. Roth |
| author_facet | A. Tichai P. Arthuis T. Duguet H. Hergert V. Somà R. Roth |
| author_sort | A. Tichai |
| collection | DOAJ |
| description | A Rayleigh–Schrödinger many-body perturbation theory (MBPT) approach is introduced by making use of a particle-number-breaking Bogoliubov reference state to tackle (near-)degenerate open-shell fermionic systems. By choosing a reference state that solves the Hartree–Fock–Bogoliubov variational problem, the approach reduces to the well-tested Møller–Plesset, i.e., Hartree–Fock based, MBPT when applied to closed-shell systems. Due to its algorithmic simplicity, the newly developed framework provides a computationally simple yet accurate alternative to state-of-the-art non-perturbative many-body approaches. At the price of working in the quasi-particle basis associated with a single-particle basis of sufficient size, the computational scaling of the method is independent of the particle number. This paper presents the first realistic applications of the method ranging from the oxygen to the nickel isotopic chains on the basis of a modern nuclear Hamiltonian derived from chiral effective field theory. Keywords: Perturbation theory, Many-body theory, Ab initio, Open-shell nuclei |
| first_indexed | 2024-12-14T02:07:31Z |
| format | Article |
| id | doaj.art-effb8edf5f824a6e967c1b0eec4833a5 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-12-14T02:07:31Z |
| publishDate | 2018-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-effb8edf5f824a6e967c1b0eec4833a52022-12-21T23:20:52ZengElsevierPhysics Letters B0370-26932018-11-01786195200Bogoliubov many-body perturbation theory for open-shell nucleiA. Tichai0P. Arthuis1T. Duguet2H. Hergert3V. Somà4R. Roth5ESNT, IRFU, CEA, Université Paris-Saclay, 91191 Gif-sur-Yvette, France; Institut für Kernphysik, Technische Universität Darmstadt, Schlossgartenstr. 2, 64289 Darmstadt, Germany; Corresponding author.IRFU, CEA, Université Paris-Saclay, 91191 Gif-sur-Yvette, France; CEA, DAM, DIF, 91297 Arpajon, FranceIRFU, CEA, Université Paris-Saclay, 91191 Gif-sur-Yvette, France; KU Leuven, Instituut voor Kern- en Stralingsfysica, 3001 Leuven, BelgiumNSCL/FRIB Laboratory and Department of Physics and Astronomy, Michigan State University, East Lansing, MI 48824-1321, USAIRFU, CEA, Université Paris-Saclay, 91191 Gif-sur-Yvette, FranceInstitut für Kernphysik, Technische Universität Darmstadt, Schlossgartenstr. 2, 64289 Darmstadt, GermanyA Rayleigh–Schrödinger many-body perturbation theory (MBPT) approach is introduced by making use of a particle-number-breaking Bogoliubov reference state to tackle (near-)degenerate open-shell fermionic systems. By choosing a reference state that solves the Hartree–Fock–Bogoliubov variational problem, the approach reduces to the well-tested Møller–Plesset, i.e., Hartree–Fock based, MBPT when applied to closed-shell systems. Due to its algorithmic simplicity, the newly developed framework provides a computationally simple yet accurate alternative to state-of-the-art non-perturbative many-body approaches. At the price of working in the quasi-particle basis associated with a single-particle basis of sufficient size, the computational scaling of the method is independent of the particle number. This paper presents the first realistic applications of the method ranging from the oxygen to the nickel isotopic chains on the basis of a modern nuclear Hamiltonian derived from chiral effective field theory. Keywords: Perturbation theory, Many-body theory, Ab initio, Open-shell nucleihttp://www.sciencedirect.com/science/article/pii/S0370269318307457 |
| spellingShingle | A. Tichai P. Arthuis T. Duguet H. Hergert V. Somà R. Roth Bogoliubov many-body perturbation theory for open-shell nuclei Physics Letters B |
| title | Bogoliubov many-body perturbation theory for open-shell nuclei |
| title_full | Bogoliubov many-body perturbation theory for open-shell nuclei |
| title_fullStr | Bogoliubov many-body perturbation theory for open-shell nuclei |
| title_full_unstemmed | Bogoliubov many-body perturbation theory for open-shell nuclei |
| title_short | Bogoliubov many-body perturbation theory for open-shell nuclei |
| title_sort | bogoliubov many body perturbation theory for open shell nuclei |
| url | http://www.sciencedirect.com/science/article/pii/S0370269318307457 |
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