{ "id": "1105.2484", "version": "v2", "published": "2011-05-12T14:25:05.000Z", "updated": "2011-08-15T15:39:16.000Z", "title": "A simple relation between the gamma N -> N(1535) helicity amplitudes", "authors": [ "G. Ramalho", "K. Tsushima" ], "comment": "Version accepted for publication in Phys.Rev.D. 4 pages, 3 figures", "journal": "Phys.Rev.D84:051301,2011", "doi": "10.1103/PhysRevD.84.051301", "categories": [ "hep-ph", "hep-ex", "hep-lat", "nucl-ex", "nucl-th" ], "abstract": "It is shown that the helicity amplitudes A_1/2 and S_1/2 in the gamma N -> N(1535) reaction, can be well related by S_1/2 = -\\frac{\\sqrt{1+\\tau}}{\\sqrt{2}} \\frac{M_S^2-M^2}{2 M_S Q} A_1/2 in the region Q^2 > 2 GeV^2, where M and M_S are the nucleon and N(1535) masses, q^2=-Q^2 the four-momentum transfer squared, and tau=\\sfrac{Q^2}{(M_S+M)^2}. The observed relation is tested by the experimental data and the MAID parametrization. A direct consequence of the relation is that the assumption,|A_1/2| >> |S_1/2|, is not valid for high Q^2. Instead, both amplitudes A_1/2 and S_1/2 have the same Q^2 dependence in the high Q^2 region, aside from that S_{1/2} has an extra factor,-\\sfrac{1}{\\sqrt{2}}\\sfrac{M_S-M}{2M_S}. The origin of this relation is interpreted in a perspective of a quark model.", "revisions": [ { "version": "v2", "updated": "2011-08-15T15:39:16.000Z" } ], "analyses": { "subjects": [ "14.20.Gk", "13.40.Gp", "12.39.Ki" ], "keywords": [ "helicity amplitudes", "simple relation", "quark model", "experimental data", "maid parametrization" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review D", "year": 2011, "month": "Sep", "volume": 84, "number": 5, "pages": "051301" }, "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "inspire": 899312, "adsabs": "2011PhRvD..84e1301R" } } }