{ "id": "1202.4882", "version": "v2", "published": "2012-02-22T11:12:31.000Z", "updated": "2012-03-26T08:36:29.000Z", "title": "The ratio of decay widths of X(3872) to $ ψ^{\\prime}γ$ and $ J/ψγ$ as a test of the X(3872) dynamical structure", "authors": [ "A. M. Badalian", "V. D. Orlovsky", "Yu. A. Simonov", "B. L. G. Bakker" ], "comment": "14 pages,2 Tables", "journal": "Phys. Rev. D 85, 114002 (2012)", "doi": "10.1103/PhysRevD.85.114002", "categories": [ "hep-ph", "hep-ex", "nucl-th" ], "abstract": "Radiative decays of X(3872) with $J^{PC}=1^{++}$ are studied in the coupled-channel approach, where the $c\\bar c$ states are described by relativistic string Hamiltonian, while for the decay channels $DD^*$ a string breaking mechanism is used. Within this method a sharp peak and correct mass shift of the $2 {}^3P_1$ charmonium state just to the $D^0D^{*0}$ threshold was already obtained for a prescribed channel coupling to the $DD^*$ decay channels. For the same value of coupling the normalized wave function (w.f.) of X(3872) acquires admixture of the $1 {}^3P_1$ component with the w.f. fraction $c_1=0.153 (\\theta=8.8^\\circ$), which increases the transition rate $\\Gamma(X(3872)\\rightarrow J/\\psi\\gamma)$ up to 50-70 keV, making the ratio $R=\\frac{\\mathcal{B}(X(3872)\\rightarrow \\psi^{\\prime}\\gamma)}{\\mathcal{B}(X(3872)\\rightarrow J/\\psi \\gamma)}=0.8\\pm 0.20 (th)$ significantly smaller, as compared to $R\\simeq 5$ for X(3872) as a purely $2 {}^3P_1$ state.", "revisions": [ { "version": "v2", "updated": "2012-03-26T08:36:29.000Z" } ], "analyses": { "subjects": [ "12.39.-x", "13.25.Gv" ], "keywords": [ "decay widths", "dynamical structure", "decay channels", "correct mass shift", "coupled-channel approach" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review D", "year": 2012, "month": "Jun", "volume": 85, "number": 11, "pages": 114002 }, "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1090070, "adsabs": "2012PhRvD..85k4002B" } } }