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arXiv 2201.06393hep-phhep-ex
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在$e^+ e^- \to ωπ^0$和$e^+ e^- \to ρη^{\prime}$过程中确定2 GeV附近的高$ρ$介子的贡献

Identifying the contribution of higher $ρ$ mesons around 2 GeV in the $e^+ e^- \to ωπ^0$ and $e^+ e^- \to ρη^{\prime}$ processes

Qin-Song Zhou, Jun-Zhang Wang, Xiang Liu, Takayuki Matsuki

摘要:

长期以来,人们对2.0GeV附近的光矢量介子态的性质了解甚少,这成为了向更高光矢量介子谱扩展的障碍。最近,BESIII合作组公布了2.0 GeV以上的$e^+ e^- \to ωπ^0$和$e^+ e^- \to ρη^{\prime}$反应的测量结果,这两个反应都是研究等矢量$ρ$介子家族的理想过程。本工作通过对上述两个过程的玻恩截面数据的综合分析,结合2.0 GeV附近$ρ$介子族的质谱、产生和强衰变行为的理论支持,确定了在$e^+e^-\toωπ^0$中观测到的2034 MeV附近的增强结构是两个共振$ρ(1900)$和$ρ(2150)$的干涉贡献,在$e^+e^-\toρη^{\prime}$中报道的2111 MeV处的另一增强结构是来自$ρ(2000)$和$ρ(2150)$的贡献。这一结论意味着$e^+e^-\toωπ^0$和$e^+e^-\toρη^{\prime}$是建立$ρ(1900)$和$ρ(2000)$的极好的黄金通道,特别是对于$D$波态的$ρ(2000)$,其在$e^+e^-$碰撞中的实验研究应该是相当具有挑战性的.希望在未来的BESIII和Belle II实验中能得到更高精度的相关截面测量。

英文摘要:

The properties of the light vector meson states around 2.0 GeV have been poorly understood for a long time, which has become a barrier to the expansion to higher light vector meson spectrum. Recently, the BESIII collaboration released the measurements of the $e^+ e^- \to ωπ^0$ and $e^+ e^- \to ρη^{\prime}$ reactions above 2.0 GeV, both of which are ideal processes to study the isovector $ρ$ meson family. In this work, through carrying out a combined analysis of the Born cross section data for the above two processes with the theoretical support on mass spectrum, and production and strong decay behaviors of the $ρ$ meson family around 2.0 GeV, we identify the enhancement structure near 2034 MeV observed in $e^+e^-\toωπ^0$ to be the interference contribution from two resonances $ρ(1900)$ and $ρ(2150)$, and another enhancement structure at 2111 MeV reported in $e^+e^-\toρη^{\prime}$ to be the contributions from $ρ(2000)$ and $ρ(2150)$. This conclusion means that the $e^+e^-\toωπ^0$ and $e^+e^-\toρη^{\prime}$ are the excellent golden channels to establish $ρ(1900)$ and $ρ(2000)$, especially for a $D$-wave state $ρ(2000)$, whose experimental search in the $e^+e^-$ collision should be quite challenging. The relevant cross section measurements with higher precision are expected in the future BESIII and Belle II experiments.

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