{ "id": "0801.3190", "version": "v1", "published": "2008-01-21T13:47:09.000Z", "updated": "2008-01-21T13:47:09.000Z", "title": "Cluster sum rules for three-body systems with angular-momentum dependent interactions", "authors": [ "R. de Diego", "E. Garrido", "A. S. Jensen", "D. V. Fedorov" ], "comment": "11 pages, 3 figures, 2 tables", "journal": "Phys.Rev.C77:024001,2008", "doi": "10.1103/PhysRevC.77.024001", "categories": [ "nucl-th" ], "abstract": "We derive general expressions for non-energy weighted and energy-weighted cluster sum rules for systems of three charged particles. The interferences between pairs of particles are found to play a substantial role. The energy-weighted sum rule is usually determined by the kinetic energy operator, but we demonstrate that it has similar additional contributions from the angular momentum and parity dependence of two- and three-body potentials frequently used in three-body calculations. The importance of the different contributions is illustrated with the dipole excitations in $^6$He. The results are compared with the available experimental data.", "revisions": [ { "version": "v1", "updated": "2008-01-21T13:47:09.000Z" } ], "analyses": { "subjects": [ "11.55.Hx", "31.15.xj", "23.20.-g", "21.45.-v" ], "keywords": [ "angular-momentum dependent interactions", "three-body systems", "energy-weighted cluster sum rules", "kinetic energy operator", "similar additional contributions" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review C", "year": 2008, "month": "Feb", "volume": 77, "number": 2, "pages": "024001" }, "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "inspire": 777825, "adsabs": "2008PhRvC..77b4001D" } } }