干扰背景的$ψ(3770)$共振的电子宽度
Electronic width of the $ψ(3770)$ resonance interfering with the background
摘要:
讨论了从反应截面$e^+e^-\to D\bar D$数据中提取$ψ(3770)\to e^+e^-$衰变宽度的方法。注意在$ψ(3770)$共振和背景的贡献之间存在干扰的情况下,缺乏用于测定$Γ_{ψ(3770)e^+e^-}$的普遍接受的方法。结果表明,考虑了$ψ(3770)$和$ψ(2S)$混合共振复合体的贡献,满足Watson定理要求的$D$介子形状因子模型,可以通过拟合唯一确定$Γ_{ψ(3770)e^+e^-}$的值.将从数据处理中发现的$Γ_{ψ(3770)e^+ e^-}$值与潜在模型中的估计值进行比较。
英文摘要:
Methods for extracting the $ψ(3770)\to e^+e^-$ decay width from the data on the reaction cross section $e^+e^-\to D\bar D$ are discussed. Attention is drawn to the absence of the generally accepted method for determining $Γ_{ψ(3770)e^+e^-}$ in the presence of interference between the contributions of the $ψ(3770)$ resonance and background. It is shown that the model for the experimentally measured $D$ meson form factor, which satisfies the requirement of the Watson theorem and takes into account the contribution of the complex of the mixed $ψ(3770)$ and $ψ(2S)$ resonances, allows uniquely determine the value of $Γ_{ψ(3770)e^+e^-}$ by fitting. The $Γ_{ψ(3770)e^+ e^-}$ values found from the data processing are compared with the estimates in the potential models.
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