{ "id": "0902.3933", "version": "v3", "published": "2009-02-23T16:55:02.000Z", "updated": "2009-08-10T15:01:05.000Z", "title": "Pairing in the Framework of the Unitary Correlation Operator Method (UCOM): Hartree-Fock-Bogoliubov Calculations", "authors": [ "H. Hergert", "R. Roth" ], "comment": "14 pages, 10 figures, to appear in Phys. Rev. C, title modified accordingly", "journal": "Phys.Rev.C80:024312,2009", "doi": "10.1103/PhysRevC.80.024312", "categories": [ "nucl-th" ], "abstract": "In this first in a series of articles, we apply effective interactions derived by the Unitary Correlation Operator Method (UCOM) to the description of open-shell nuclei, using a self-consistent Hartree-Fock-Bogoliubov framework to account for pairing correlations. To disentangle the particle-hole and particle-particle channels and assess the pairing properties of $\\VUCOM$, we consider hybrid calculations using the phenomenological Gogny D1S interaction to derive the particle-hole mean field. In the main part of this article, we perform calculations of the tin isotopic chain using $\\VUCOM$ in both the particle-hole and particle-particle channels. We study the interplay of both channels, and discuss the impact of non-central and non-local terms in realistic interactions as well as the frequently used restriction of pairing interactions to the ${}^1S_0$ partial wave. The treatment of the center-of-mass motion and its effect on theoretical pairing gaps is assessed independently of the used interactions.", "revisions": [ { "version": "v3", "updated": "2009-08-10T15:01:05.000Z" } ], "analyses": { "subjects": [ "21.30.Fe", "13.75.Cs", "21.60.-n" ], "keywords": [ "unitary correlation operator method", "hartree-fock-bogoliubov calculations", "particle-particle channels", "self-consistent hartree-fock-bogoliubov framework", "particle-hole mean field" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review C", "year": 2009, "month": "Aug", "volume": 80, "number": 2, "pages": "024312" }, "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable", "inspire": 813988, "adsabs": "2009PhRvC..80b4312H" } } }