Tichai, Alexander ; Langhammer, Joachim ; Binder, Sven ; Roth, Robert (2022)
Hartree-Fock many-body perturbation theory for nuclear ground-states.
In: Physics Letters B, 2016, 756
doi: 10.26083/tuprints-00012821
Artikel, Zweitveröffentlichung, Verlagsversion
Kurzbeschreibung (Abstract)
We investigate the order-by-order convergence behavior of many-body perturbation theory (MBPT) as a simple and efficient tool to approximate the ground-state energy of closed-shell nuclei. To address the convergence properties directly, we explore perturbative corrections up to 30th order and highlight the role of the partitioning for convergence. The use of a simple Hartree–Fock solution for the unperturbed basis leads to a convergent MBPT series for soft interactions, in contrast to the divergent MBPT series obtained with a harmonic oscillator basis. For larger model spaces and heavier nuclei, where a direct high-order MBPT calculation is not feasible, we perform third-order calculations and compare to advanced ab initio coupled-cluster results for the same interactions and model spaces. We demonstrate that third-order MBPT provides ground-state energies for nuclei up into the tin isotopic chain in excellent agreement with the best available coupled-cluster calculations at a fraction of the computational cost.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2022 |
| Autor(en): | Tichai, Alexander ; Langhammer, Joachim ; Binder, Sven ; Roth, Robert |
| Art des Eintrags: | Zweitveröffentlichung |
| Titel: | Hartree-Fock many-body perturbation theory for nuclear ground-states |
| Sprache: | Englisch |
| Publikationsjahr: | 2022 |
| Publikationsdatum der Erstveröffentlichung: | 2016 |
| Verlag: | Elsevier |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Physics Letters B |
| Jahrgang/Volume einer Zeitschrift: | 756 |
| DOI: | 10.26083/tuprints-00012821 |
| URL / URN: | https://tuprints.ulb.tu-darmstadt.de/12821 |
| Zugehörige Links: | |
| Herkunft: | Zweitveröffentlichung |
| Kurzbeschreibung (Abstract): | We investigate the order-by-order convergence behavior of many-body perturbation theory (MBPT) as a simple and efficient tool to approximate the ground-state energy of closed-shell nuclei. To address the convergence properties directly, we explore perturbative corrections up to 30th order and highlight the role of the partitioning for convergence. The use of a simple Hartree–Fock solution for the unperturbed basis leads to a convergent MBPT series for soft interactions, in contrast to the divergent MBPT series obtained with a harmonic oscillator basis. For larger model spaces and heavier nuclei, where a direct high-order MBPT calculation is not feasible, we perform third-order calculations and compare to advanced ab initio coupled-cluster results for the same interactions and model spaces. We demonstrate that third-order MBPT provides ground-state energies for nuclei up into the tin isotopic chain in excellent agreement with the best available coupled-cluster calculations at a fraction of the computational cost. |
| Status: | Verlagsversion |
| URN: | urn:nbn:de:tuda-tuprints-128218 |
| Sachgruppe der Dewey Dezimalklassifikatin (DDC): | 500 Naturwissenschaften und Mathematik > 530 Physik |
| Fachbereich(e)/-gebiet(e): | 05 Fachbereich Physik 05 Fachbereich Physik > Institut für Kernphysik |
| Hinterlegungsdatum: | 10 Mär 2022 13:13 |
| Letzte Änderung: | 11 Mär 2022 11:36 |
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| Zugehörige Links: | |
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