{ "id": "1003.3624", "version": "v1", "published": "2010-03-15T15:50:54.000Z", "updated": "2010-03-15T15:50:54.000Z", "title": "Nuclear Structure in the Framework of the Unitary Correlation Operator Method", "authors": [ "Robert Roth", "Thomas Neff", "Hans Feldmeier" ], "comment": "72 pages, 31 figures", "journal": "Prog. Part. Nucl. Phys. 65 (2010) 50", "doi": "10.1016/j.ppnp.2010.02.003", "categories": [ "nucl-th" ], "abstract": "Correlations play a crucial role in the nuclear many-body problem. We give an overview of recent developments in nuclear structure theory aiming at the description of these interaction-induced correlations by unitary transformations. We focus on the Unitary Correlation Operator Method (UCOM), which offers a very intuitive, universal and robust approach for the treatment of short-range correlations. We discuss the UCOM formalism in detail and highlight the connections to other methods for the description of short-range correlations and the construction of effective interactions. In particular, we juxtapose UCOM with the Similarity Renormalization Group (SRG) approach, which implements the unitary transformation of the Hamiltonian through a very flexible flow-equation formulation. The UCOM- and SRG-transformed interactions are compared on the level of matrix elements and in many-body calculations within the no-core shell model and with Hartree-Fock plus perturbation theory for a variety of nuclei and observables. These calculations provide a detailed picture of the similarities and differences as well as the advantages and limitations of unitary transformation methods.", "revisions": [ { "version": "v1", "updated": "2010-03-15T15:50:54.000Z" } ], "analyses": { "keywords": [ "unitary correlation operator method", "unitary transformation", "hartree-fock plus perturbation theory", "short-range correlations", "nuclear structure theory" ], "tags": [ "journal article" ], "publication": { "journal": "Progress in Particle and Nuclear Physics", "year": 2010, "month": "Jul", "volume": 65, "number": 1, "pages": 50 }, "note": { "typesetting": "TeX", "pages": 72, "language": "en", "license": "arXiv", "status": "editable", "inspire": 849254, "adsabs": "2010PrPNP..65...50R" } } }