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arXiv 2007.03118hep-phhep-ex
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2.2 GeV附近高$ρ$介子态激发的$e^+e^-\to π^+π^-$湮灭

Toward $e^+e^-\to π^+π^-$ annihilation inspired by higher $ρ$ mesonic states around 2.2 GeV

Li-Ming Wang, Jun-Zhang Wang, Xiang Liu

备注：
6 pages, 1 table and 2 figures. Accepted by Phys. Rev. D
发表信息：
Phys. Rev. D 102, 034037 (2020)
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摘要：

最近，{ \it BABAR}合作组指出，当再次关注$e^+e^-\toπ^+π^-$过程时，在2.2 GeV附近存在显式增强结构，这激发了我们研究更高$ρ$介子态产生的兴趣。由于$D-$波$ρ$态的$π^+π^-$通道分支比远小于$S-$波态，因此我们选择$ρ(1900)$和$ρ(2150)$作为$e^+e^-\toπ^+π^-$的中间态，其中$ρ(1900)$和$ρ(2150)$分别被处理为$ρ(3S)$和$ρ(4S)$态。结果表明，$e^+e^-\toπ^+π^-$在2 GeV附近的$BABAR$数据能够很好地描述，这表明$e^+e^-\toπ^+π^-$在2. 2 GeV附近存在的这种增强结构可能是由于两个$ρ$介子$ρ(1900)$和$ρ(2150)$的贡献。另外，在整个拟合过程中，$ρ(1900)$和$ρ(2150)$的$Γ_{e^+e^-}\mathcal{B}(π^+π^-)$提取值与相应的理论计算值的一致性也证实了这一结论。目前对$e^+e^-\toπ^+π^-$数据的研究可能为建立$ρ$介子家族提供有价值的信息。

英文摘要：

Very recently, the {\it BABAR} Collaboration indicated that there exist an explicit enhancement structure near 2.2 GeV when focusing on the $e^+e^-\toπ^+π^-$ process again, which inspires our interest in studying the production of higher $ρ$ mesonic states. Since the branching ratio of $π^+π^-$ channel of $D-$wave $ρ$ states are much smaller than $S-$wave states, we choose $ρ(1900)$ and $ρ(2150)$ as the intermediate states in $e^+e^-\toπ^+π^-$, where $ρ(1900)$ and $ρ(2150)$ are treated as $ρ(3S)$ and $ρ(4S)$ states, respectively. Our result indicates that the $BABAR$'s data of $e^+e^-\toπ^+π^-$ around 2 GeV can be depicted well, which shows that this enhancement structure near 2.2 GeV existing in $e^+e^-\toπ^+π^-$ can be due to the contribution from two $ρ$ mesons, $ρ(1900)$ and $ρ(2150)$. Additionally, this conclusion can be enforced by the consistence of the extracted values of $Γ_{e^+e^-}\mathcal{B}(π^+π^-)$ of $ρ(1900)$ and $ρ(2150)$ in the whole fitting processes and the corresponding theoretical calculations. The present study of $e^+e^-\toπ^+π^-$ data may provide valuable information to establish the $ρ$ meson family.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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