$Υ(10860)$峰附近反常产生$Υ(1S) π^{+} π^{-}$和$Υ(2S) π^{+} π^{-}$的二π不变质量分布
Dipion invariant mass distribution of the anomalous $Υ(1S) π^{+} π^{-}$ and $Υ(2S) π^{+} π^{-}$ production near the peak of $Υ(10860)$
摘要：
考虑到以前估算$e^+e^-\to Υ(1S)π^+π^-,\,Υ(2S)π^+π^-$在$\sqrt s=10.87$ GeV共振峰附近反常产生率的工作的缺陷[K.F. Chen { \it et al}.（Belle Collaboration），Phys. Rev. Lett. { \bf 100}，112001（2008）]，我们提出了一种新的方案，其中直接双π跃迁和最终状态相互作用的贡献干扰，不仅导致非常大的生产率，而且当假设反应是由于$Υ(5S)$的双π发射时，微分宽度的线形与实验测量一致。最后，我们提出了一个新的难题，即预测的差分宽度$dΓ(Υ(5S)\toΥ(2S)π^+π^-)/d\cosθ$与数据有不一致的趋势，而其他预测与数据吻合得很好。未来的实验将进行更精确的测量，以进一步澄清这一点。
英文摘要：
Considering the defects of the previous work for estimating the anomalous production rates of $e^+e^-\to Υ(1S)π^+π^-,\,Υ(2S)π^+π^-$ near the peak of the $Υ(5S)$ resonance at $\sqrt s=10.87$ GeV [K.F. Chen {\it et al}. (Belle Collaboration), Phys. Rev. Lett. {\bf 100}, 112001 (2008)], we suggest a new scenario where the contributions from the direct dipion transition and the final state interactions interfere to result in not only the anomalously large production rates, but also the lineshapes of the differential widths consistent with the experimental measurement when assuming the reactions are due to the dipion emission of $Υ(5S)$. At the end, we raise a new puzzle that the predicted differential width $dΓ(Υ(5S)\toΥ(2S)π^+π^-)/d\cosθ$ has a discrepant trend from the data while other predictions are well in accord with the data. It should be further clarified by more accurate measurements carried by future experiments.
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