{ "id": "hep-ph/0405126", "version": "v2", "published": "2004-05-13T21:09:56.000Z", "updated": "2004-08-16T17:48:31.000Z", "title": "S-D mixing and $ψ(3770)$ production in $e^+e^-$ annihilation and B decay and its radiative transitions", "authors": [ "Kui-Yong Liu", "Kuang-Ta Chao" ], "comment": "final version to appear in Phys.Rev.D, discussion on uncertainties associated with the color-octet matrix elements is added, 16 pages, 2 figures", "journal": "Phys.Rev.D70:094001,2004", "doi": "10.1103/PhysRevD.70.094001", "categories": [ "hep-ph", "hep-ex" ], "abstract": "The large decay rate observed by Belle for $B^+\\to\\psi(3770)K^+$, which is comparable to $B^+\\to\\psi(3686)K^+$, might indicate either an unexpectedly large S-D mixing angle $|\\theta|\\approx 40^o$ or the leading role of the color-octet mechanism in D-wave charmonium production in B decay. By calculating the production rate of $\\psi(3770)$ in the continuum $e^+e^-$ annihilation at $\\sqrt{s}=10.6$ GeV with these two possible approaches (i.e. the large S-D mixing and the color-octet mechanism), we show that the measurement for this process at Belle and BaBar may provide a clear cut clarification for the two approaches. In addition, the radiative E1 transition ratio $\\Gamma(\\psi(3770)\\to \\gamma\\chi_{c2})/\\Gamma(\\psi(3770)\\to \\gamma\\chi_{c1})$ may dramatically change from $\\sim$ 0.04 (for $\\theta\\approx 0^o$) to $\\sim$ 200 (for $\\theta\\approx -40^o$) due to the large S-D interference effect, thus the E1 transition measurement of $\\psi(3770)$ at BES and CLEO-c will also be very useful in clarifying this issue.", "revisions": [ { "version": "v2", "updated": "2004-08-16T17:48:31.000Z" } ], "analyses": { "subjects": [ "14.40.Gx", "13.66.Bc", "12.38.Bx" ], "keywords": [ "radiative transitions", "annihilation", "color-octet mechanism", "large s-d interference effect", "d-wave charmonium production" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. D" }, "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable", "inspire": 650387 } } }