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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.
In: Physics Letters B, 2016, 756
doi: 10.26083/tuprints-00012821
Article, Secondary publication, Publisher's Version

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.

Item Type: Article
Erschienen: 2022
Creators: Tichai, Alexander ; Langhammer, Joachim ; Binder, Sven ; Roth, Robert
Type of entry: Secondary publication
Title: Hartree-Fock many-body perturbation theory for nuclear ground-states
Language: English
Date: 2022
Year of primary publication: 2016
Publisher: Elsevier
Journal or Publication Title: Physics Letters B
Volume of the journal: 756
DOI: 10.26083/tuprints-00012821
URL / URN: https://tuprints.ulb.tu-darmstadt.de/12821
Corresponding Links:
Origin: Secondary publication
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: Publisher's Version
URN: urn:nbn:de:tuda-tuprints-128218
Classification DDC: 500 Science and mathematics > 530 Physics
Divisions: 05 Department of Physics
05 Department of Physics > Institute of Nuclear Physics
Date Deposited: 10 Mar 2022 13:13
Last Modified: 11 Mar 2022 11:36
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