{ "id": "0808.0628", "version": "v1", "published": "2008-08-05T12:13:01.000Z", "updated": "2008-08-05T12:13:01.000Z", "title": "P-wave Lambda N - Sigma N coupling and the spin-orbit splitting of 9 Lambda Be", "authors": [ "Y. Fujiwara", "M. Kohno", "Y. Suzuki" ], "comment": "5 pages, no figures", "journal": "Mod.Phys.Lett.A24:1031-1034,2009", "doi": "10.1142/S0217732309000528", "categories": [ "nucl-th" ], "abstract": "We reexamine the spin-orbit splitting of 9 Lambda Be excited states in terms of the SU_6 quark-model baryon-baryon interaction. The previous folding procedure to generate the Lambda alpha spin-orbit potential from the quark-model Lambda N LS interaction kernel predicted three to five times larger values for Delta E_{ell s}=E_x(3/2^+)-E_x(5/2^+) in the model FSS and fss2. This time, we calculate Lambda alpha LS Born kernel, starting from the LS components of the nuclear-matter G-matrix for the Lambda hyperon. This framework makes it possible to take full account of an important P-wave Lambda N - Sigma N coupling through the antisymmetric LS^{(-)} force involved in the Fermi-Breit interaction. We find that the experimental value, Delta E^{exp}_{ell s}=43 pm 5 keV, is reproduced by the quark-model G-matrix LS interaction with a Fermi-momentum around k_F=1.0 fm^{-1}, when the model FSS is used in the energy-independent renormalized RGM formalism.", "revisions": [ { "version": "v1", "updated": "2008-08-05T12:13:01.000Z" } ], "analyses": { "subjects": [ "21.80.+a", "13.75.Ev", "12.39.Jh", "21.45.-v" ], "keywords": [ "spin-orbit splitting", "lambda alpha ls born kernel", "lambda alpha spin-orbit potential", "quark-model g-matrix ls interaction", "model fss" ], "tags": [ "journal article" ], "publication": { "journal": "Modern Physics Letters A", "year": 2009, "volume": 24, "number": "11-13", "pages": 1031 }, "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable", "inspire": 792353, "adsabs": "2009MPLA...24.1031F" } } }