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Institute of High Energy Physics, Beijing 100049, People's Republic of China.
G. I. Budker Institute of Nuclear Physics SB RAS (BINP), Novosibirsk 630090, Russia.
Phys Rev Lett. 2022 Sep 2;129(10):102003. doi: 10.1103/PhysRevLett.129.102003.
Using a data sample corresponding to an integrated luminosity of 11.3 fb^{-1} collected at center-of-mass energies from 4.23 to 4.70 GeV with the BESIII detector, we measure the product of the e^{+}e^{-}→π^{+}π^{-}ψ_{2}(3823) cross section and the branching fraction B[ψ_{2}(3823)→γχ_{c1}]. For the first time, resonance structure is observed in the cross section line shape of e^{+}e^{-}→π^{+}π^{-}ψ_{2}(3823) with significances exceeding 5σ. A fit to data with two coherent Breit-Wigner resonances modeling the sqrt[s]-dependent cross section yields M(R_{1})=4406.9±17.2±4.5 MeV/c^{2}, Γ(R_{1})=128.1±37.2±2.3 MeV, and M(R_{2})=4647.9±8.6±0.8 MeV/c^{2}, Γ(R_{2})=33.1±18.6±4.1 MeV. Though weakly disfavored by the data, a single resonance with M(R)=4417.5±26.2±3.5 MeV/c^{2}, Γ(R)=245±48±13 MeV is also possible to interpret data. This observation deepens our understanding of the nature of the vector charmoniumlike states. The mass of the ψ_{2}(3823) state is measured as (3823.12±0.43±0.13) MeV/c^{2}, which is the most precise measurement to date.
利用北京谱仪III（BESIII）探测器在质心能量从4.23到4.70 GeV下收集的对应于11.3 fb⁻¹积分亮度的数据样本，我们测量了e⁺e⁻→π⁺π⁻ψ₂(3823)截面与分支比B[ψ₂(3823)→γχc1]的乘积。首次在e⁺e⁻→π⁺π⁻ψ₂(3823)的截面线形中观测到共振结构，显著性超过5σ。用两个相干布赖特-维格纳共振对依赖于质心能量平方根（√s）的截面进行数据拟合，得到M(R₁)=4406.9±17.2±4.5 MeV/c²，Γ(R₁)=128.1±37.2±2.3 MeV，以及M(R₂)=4647.9±8.6±0.8 MeV/c²，Γ(R₂)=33.1±18.6±4.1 MeV。虽然数据对其支持较弱，但一个质量为M(R)=4417.5±26.2±3.5 MeV/c²，宽度为Γ(R)=245±48±13 MeV的单共振也有可能解释数据。这一观测加深了我们对类矢量粲偶素态性质的理解。ψ₂(3823)态的质量测量值为(3823.12±0.43±0.13) MeV/c²，这是迄今为止最精确的测量。
