用$η_c\rightarrow ϕK^{*}\bar{K}^{*}$衰变测试由PDMATHAAB制成的$h_1(1830)$
Test of the $h_1(1830)$ made of $K^{*}\bar{K}^*$ with the $η_c\rightarrow ϕK^{*}\bar{K}^{*}$ decay
摘要：
我们提出了一个新的反应，互补的$J/ψ\rightarrow ηK^{*0}\bar{K}^{*0}$，其中$h_1$共振质量约$1830$兆电子伏的BESIII实验报告。新的反应是$η_c\rightarrow ϕK^*\bar{K}^*$或$η_c(2S)\rightarrow ϕK^*\bar{K}^*$。利用$J/ψ\rightarrow ηK^{*0}\bar{K}^{*0}$的分析信息，我们发现这两个$η_c$衰变的$K^*\bar{K}^*$不变质量分布在$1830$ MeV附近呈现出一个清晰的峰，与纯相空间得到的峰完全不同。我们建议实施这些反应来断言这种难以捉摸的共振的存在，其性质作为一个矢量-矢量分子与$0^-(1^{+-})$量子数，只耦合到$K^*\bar{K}^*$通道。
英文摘要：
We present a new reaction, complementary to the $J/ψ\rightarrow ηK^{*0}\bar{K}^{*0}$ from which an $h_1$ resonance with mass around $1830$ MeV was reported from a BESIII experiment. The new reaction is $η_c\rightarrow ϕK^*\bar{K}^*$, or $η_c(2S)\rightarrow ϕK^*\bar{K}^*$. Using the information from the analysis of $J/ψ\rightarrow ηK^{*0}\bar{K}^{*0}$, we find that the $K^*\bar{K}^*$ invariant mass distribution for those two $η_c$ decays exhibits a clear peak around $1830$ MeV perfectly distinguishable from what one obtains with pure phase space. We suggest the implementation of these reactions to assert the existence of this elusive resonance which, by its nature as a vector-vector molecule with $0^-(1^{+-})$ quantum numbers, only couples to the $K^*\bar{K}^*$ channel.
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