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arXiv 1507.07985hep-phhep-ex
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使用$X(3823)\to J/ψπ^+π^-$识别耦合通道效应

Using $X(3823)\to J/ψπ^+π^-$ to identify coupled-channel effects

Bo Wang, Hao Xu, Xiang Liu, Dian-Yong Chen, Susana Coito, Estia Eichten

摘要:

最近,Belle和BESIII实验观察到一种新的类似粲偶素的态$X(3823)$,它是$D$波粲偶素$ψ(1^3D_2)$的一个很好的候选者。因为$X(3823)$刚好接近$D\bar{D}^*$阈值,所以衰减$X(3823)\to J/ψπ^+π^-$可以是测试耦合通道效应的显著性的黄金通道。在这项工作中,这种衰变被认为包括隐藏的魅力双介子和通常的量子色动力学多极展开(QCDME)的贡献。计算了部分衰变宽度、双介子不变质谱分布$\mathrm{d}Γ[X(3823)\to J/ψπ^+π^-]/\mathrm{d}m_{π^+π^-}$和相应的$\mathrm{d}Γ[X(3823)\to J/ψπ^+π^-]/\mathrm{d}\cosθ$分布。许多参数都是从已有的实验数据中确定的,所以结果主要只依赖于QCDME和隐魅偶介子振幅之间的一个未知相位。

英文摘要:

Very recently, the Belle and BESIII experiments observed a new charmonium-like state $X(3823)$, which is a good candidate for the $D$-wave charmonium $ψ(1^3D_2)$. Because the $X(3823)$ is just near the $D\bar{D}^*$ threshold, the decay $X(3823)\to J/ψπ^+π^-$ can be a golden channel to test the significance of coupled-channel effects. In this work, this decay is considered including both the hidden-charm dipion and the usual quantum chromodynamics multipole expansion (QCDME) contributions. The partial decay width, the dipion invariant mass spectrum distribution $\mathrm{d}Γ[X(3823)\to J/ψπ^+π^-]/\mathrm{d}m_{π^+π^-}$, and the corresponding $\mathrm{d}Γ[X(3823)\to J/ψπ^+π^-]/\mathrm{d}\cosθ$ distribution are computed. Many parameters are determined from existing experimental data, so the results depend mainly only on one unknown phase between the QCDME and hidden-charm dipion amplitudes.

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