S-D mixing and $ψ(3770)$ production in $e^+e^-$ annihilation and B decay and its radiative transitions

dc.creatorLiu, Kui-Yong
dc.creatorChao, Kuang-Ta
dc.date2004-05-13
dc.date2004-08-16
dc.date.accessioned2026-07-07T10:29:09Z
dc.date.available2026-07-07T10:29:09Z
dc.descriptionThe large decay rate observed by Belle for $B^+\toψ(3770)K^+$, which is comparable to $B^+\toψ(3686)K^+$, might indicate either an unexpectedly large S-D mixing angle $|θ|\approx 40^o$ or the leading role of the color-octet mechanism in D-wave charmonium production in B decay. By calculating the production rate of $ψ(3770)$ 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 $Γ(ψ(3770)\to γχ_{c2})/Γ(ψ(3770)\to γχ_{c1})$ may dramatically change from $\sim$ 0.04 (for $θ\approx 0^o$) to $\sim$ 200 (for $θ\approx -40^o$) due to the large S-D interference effect, thus the E1 transition measurement of $ψ(3770)$ at BES and CLEO-c will also be very useful in clarifying this issue.
dc.descriptionfinal version to appear in Phys.Rev.D, discussion on uncertainties associated with the color-octet matrix elements is added, 16 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/hep-ph/0405126
dc.identifierhttp://arxiv.org/abs/hep-ph/0405126
dc.identifierPhys.Rev.D70:094001,2004
dc.identifierdoi:10.1103/PhysRevD.70.094001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/177700
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Experiment
dc.titleS-D mixing and $ψ(3770)$ production in $e^+e^-$ annihilation and B decay and its radiative transitions
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