{ "id": "1411.3424", "version": "v1", "published": "2014-11-13T02:43:05.000Z", "updated": "2014-11-13T02:43:05.000Z", "title": "Mass of Y(3940) in Bethe-Salpeter equation for quarks", "authors": [ "Xiaozhao Chen", "Xiaofu Lü" ], "comment": "19 pages, 4 figures, 1 table", "categories": [ "hep-ph", "nucl-th" ], "abstract": "The general form of the Bethe-Salpeter wave functions for the bound states composed of two vector fields of arbitrary spin and definite parity is corrected. Using the revised general formalism, we investigate the observed \\emph{Y}(3940) state which is considered as a molecule state consisting of $D^{*0}\\bar{D}^{*0}$. Though the attractive potential between $D^{*0}$ and $\\bar{D}^{*0}$ including one light meson ($\\sigma$, $\\pi$, $\\omega$, $\\rho$) exchange is considered, we find that in our approach the contribution from one-$\\pi$ exchange is equal to zero and consider SU(3) symmetry breaking. The obtained mass of \\emph{Y}(3940) is consistent with the experimental value.", "revisions": [ { "version": "v1", "updated": "2014-11-13T02:43:05.000Z" } ], "analyses": { "keywords": [ "bethe-salpeter equation", "bethe-salpeter wave functions", "experimental value", "bound states", "arbitrary spin" ], "tags": [ "journal article" ], "publication": { "doi": "10.1140/epjc/s10052-015-3315-y", "journal": "European Physical Journal C", "year": 2015, "month": "Mar", "volume": 75, "pages": 98 }, "note": { "typesetting": "TeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1327747, "adsabs": "2015EPJC...75...98C" } } }