{ "id": "0910.3650", "version": "v1", "published": "2009-10-19T19:12:46.000Z", "updated": "2009-10-19T19:12:46.000Z", "title": "Pade-resummed high-order perturbation theory for nuclear structure calculations", "authors": [ "Robert Roth", "Joachim Langhammer" ], "comment": "6 pages, 2 figures, 1 table", "journal": "Phys.Lett.B683:272-277,2010", "doi": "10.1016/j.physletb.2009.12.046", "categories": [ "nucl-th" ], "abstract": "We apply high-order many-body perturbation theory for the calculation of ground-state energies of closed-shell nuclei using realistic nuclear interactions. Using a simple recursive formulation, we compute the perturbative energy contributions up to 30th order and compare to exact no-core shell model calculations for the same model space and Hamiltonian. Generally, finite partial sums of this perturbation series do not show convergence with increasing order, but tend to diverge exponentially. Nevertheless, through a simple resummation via Pade approximants it is possible to extract rapidly converging and highly accurate results for the ground state energy.", "revisions": [ { "version": "v1", "updated": "2009-10-19T19:12:46.000Z" } ], "analyses": { "subjects": [ "21.60.De", "21.60.Cs", "02.70.-c" ], "keywords": [ "pade-resummed high-order perturbation theory", "nuclear structure calculations", "exact no-core shell model calculations", "apply high-order many-body perturbation theory" ], "tags": [ "journal article" ], "publication": { "journal": "Physics Letters B", "year": 2010, "month": "Jan", "volume": 683, "number": "4-5", "pages": 272 }, "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "inspire": 834452, "adsabs": "2010PhLB..683..272R" } } }