Tichai, Alexander ; Arthuis, Pierre ; Duguet, Thomas ; Hergert, Heiko ; Somà, Vittorio ; Roth, Robert (2022)
Bogoliubov many-body perturbation theory for open-shell nuclei.
In: Physics Letters B, 2018, 786
doi: 10.26083/tuprints-00012722
Article, Secondary publication, Publisher's Version
Abstract
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 manybody 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.
| Item Type: | Article |
|---|---|
| Erschienen: | 2022 |
| Creators: | Tichai, Alexander ; Arthuis, Pierre ; Duguet, Thomas ; Hergert, Heiko ; Somà, Vittorio ; Roth, Robert |
| Type of entry: | Secondary publication |
| Title: | Bogoliubov many-body perturbation theory for open-shell nuclei |
| Language: | English |
| Date: | 2022 |
| Year of primary publication: | 2018 |
| Publisher: | Elsevier |
| Journal or Publication Title: | Physics Letters B |
| Volume of the journal: | 786 |
| DOI: | 10.26083/tuprints-00012722 |
| URL / URN: | https://tuprints.ulb.tu-darmstadt.de/12722 |
| Corresponding Links: | |
| Origin: | Secondary publication |
| Abstract: | 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 manybody 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. |
| Status: | Publisher's Version |
| URN: | urn:nbn:de:tuda-tuprints-127229 |
| Additional Information: | Keywords: Perturbation theory; Many-body theory; Ab initio; Open-shell nuclei |
| Classification DDC: | 500 Naturwissenschaften und Mathematik > 530 Physik |
| Divisions: | 05 Department of Physics 05 Department of Physics > Institute of Nuclear Physics |
| Date Deposited: | 25 Mar 2022 13:13 |
| Last Modified: | 29 Mar 2022 08:57 |
| PPN: | |
| Corresponding Links: | |
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