{ "id": "1006.3363", "version": "v4", "published": "2010-06-17T03:19:57.000Z", "updated": "2011-02-07T14:27:34.000Z", "title": "Radiative E1 decays of X(3872)", "authors": [ "Tian-Hong Wang", "Guo-Li Wang" ], "comment": "9 pages, 4 figures, 2 tables, version to be published in Phys. Lett. B", "journal": "Phys.Lett.B697:233-237,2011", "doi": "10.1016/j.physletb.2011.02.014", "categories": [ "hep-ph", "hep-ex" ], "abstract": "Radiative E1 decay widths of $\\rm X(3872)$ are calculated through the relativistic Salpeter method, with the assumption that $\\rm X(3872)$ is the $\\chi_{c1}$(2P) state, which is the radial excited state of $\\chi_{c1}$(1P). We firstly calculated the E1 decay width of $\\chi_{c1}$(1P), the result is in agreement with experimental data excellently, then we calculated the case of $\\rm X(3872)$ with the assignment that it is $\\chi_{c1}$(2P). Results are: ${\\Gamma}({\\rm X(3872)}\\rightarrow \\gamma \\sl J/\\psi)=33.0$ keV, ${\\Gamma}({\\rm X(3872)}\\rightarrow \\gamma \\psi(2S))=146$ keV and ${\\Gamma}({\\rm X(3872)}\\rightarrow \\gamma \\psi(3770))=7.09$ keV. The ratio ${{\\rm Br(X(3872)}\\rightarrow\\gamma\\psi(2{\\rm S}))}/{{\\rm Br(X(3872)}\\rightarrow \\gamma {\\sl J}/\\psi)}=4.4$ agrees with experimental data by BaBar, but larger than the new up-bound reported by Belle recently. With the same method, we also predict the decay widths: ${\\Gamma}(\\chi_{b1}(1\\rm P))\\rightarrow \\gamma \\Upsilon(1\\rm S))=30.0$ keV, ${\\Gamma}(\\chi_{b1}(2\\rm P))\\rightarrow \\gamma \\Upsilon(1\\rm S))=5.65$ keV and ${\\Gamma}(\\chi_{b1}(2\\rm P))\\rightarrow \\gamma \\Upsilon(2S))=15.8$ keV, and the full widths: ${\\Gamma}(\\chi_{b1}(1\\rm P))\\sim 85.7$ keV, ${\\Gamma}(\\chi_{b1}(2\\rm P))\\sim 66.5$ keV.", "revisions": [ { "version": "v4", "updated": "2011-02-07T14:27:34.000Z" } ], "analyses": { "subjects": [ "13.60.-r", "13.25.Gv", "13.25.Ft", "13.40.Hq" ], "keywords": [ "experimental data", "relativistic salpeter method", "radiative e1 decay widths", "full widths", "radial excited state" ], "tags": [ "journal article" ], "publication": { "journal": "Physics Letters B", "year": 2011, "month": "Mar", "volume": 697, "number": 3, "pages": 233 }, "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "inspire": 858573, "adsabs": "2011PhLB..697..233W" } } }