Hartree–Fock many-body perturbation theory for nuclear ground-states
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 highli...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2016-05-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269316002008 |
| _version_ | 1819236359313817600 |
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| author | Alexander Tichai Joachim Langhammer Sven Binder Robert Roth |
| author_facet | Alexander Tichai Joachim Langhammer Sven Binder Robert Roth |
| author_sort | Alexander Tichai |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-23T13:03:11Z |
| format | Article |
| id | doaj.art-549b91d39c5747308c8dd53ef1c653e4 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 1873-2445 |
| language | English |
| last_indexed | 2024-12-23T13:03:11Z |
| publishDate | 2016-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-549b91d39c5747308c8dd53ef1c653e42022-12-21T17:45:58ZengElsevierPhysics Letters B0370-26931873-24452016-05-01756C28328810.1016/j.physletb.2016.03.029Hartree–Fock many-body perturbation theory for nuclear ground-statesAlexander Tichai0Joachim Langhammer1Sven Binder2Robert Roth3Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, GermanyInstitut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, GermanyDepartment of Physics and Astronomy, University of Tennessee, Knoxville, TN 37996, USAInstitut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, GermanyWe 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.http://www.sciencedirect.com/science/article/pii/S0370269316002008 |
| spellingShingle | Alexander Tichai Joachim Langhammer Sven Binder Robert Roth Hartree–Fock many-body perturbation theory for nuclear ground-states Physics Letters B |
| title | Hartree–Fock many-body perturbation theory for nuclear ground-states |
| title_full | Hartree–Fock many-body perturbation theory for nuclear ground-states |
| title_fullStr | Hartree–Fock many-body perturbation theory for nuclear ground-states |
| title_full_unstemmed | Hartree–Fock many-body perturbation theory for nuclear ground-states |
| title_short | Hartree–Fock many-body perturbation theory for nuclear ground-states |
| title_sort | hartree fock many body perturbation theory for nuclear ground states |
| url | http://www.sciencedirect.com/science/article/pii/S0370269316002008 |
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