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Hartree–Fock many-body perturbation theory for nuclear ground-states

Tichai, Alexander ; Langhammer, Joachim ; Binder, Sven ; Roth, Robert (2022):
Hartree–Fock many-body perturbation theory for nuclear ground-states. (Publisher's Version)
In: Physics Letters B, 756, pp. 283-288. Elsevier, ISSN 0370-2693, e-ISSN 1873-2445,
DOI: 10.26083/tuprints-00012821,
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Item Type: Article
Origin: Secondary publication
Status: Publisher's Version
Title: Hartree–Fock many-body perturbation theory for nuclear ground-states
Language: English
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.

Journal or Publication Title: Physics Letters B
Volume of the journal: 756
Publisher: Elsevier
Classification DDC: 500 Naturwissenschaften und Mathematik > 530 Physik
Divisions: 05 Department of Physics > Institute of Nuclear Physics
Date Deposited: 10 Mar 2022 13:13
Last Modified: 10 Mar 2022 13:14
DOI: 10.26083/tuprints-00012821
Corresponding Links:
URN: urn:nbn:de:tuda-tuprints-128218
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/12821
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