Cross sections of the process $\eeppjpsi$ at center-of-mass energies between 3.808 and 4.600~$\gev$ are measured with high precision by using 12.4~$\ifb$ of data samples collected with the BESIII detector operating at the BEPCII collider facility. A fit to the measured energy-dependent cross sections confirms the existence of the charmonium-like state $Y(4220)$. The mass and width of the $Y(4220)$ are determined to be $(4220.4\pm 2.4\pm 2.3)$~$\mevcc$ and $(46.2\pm 4.7\pm 2.1)$~$\mev$, respectively, where the first uncertainties are statistical and the second systematic. The mass and width are consistent with those measured in the process $\eeppjpsic$. The neutral charmonium-like state $\zcz$ is observed prominently in the $\piz\jpsi$ invariant-mass spectrum, and, for the first time, an amplitude analysis is performed to study its properties. The spin-parity of $\zcz$ is determined to be $J^P=1^{+}$, and the pole position is $(3893.1\pm 2.2\pm 3.0)-i(22.2\pm 2.6\pm 7.0)$~$\mevcc$, which is consistent with previous studies of electrically charged $\zcc$. In addition, cross sections of $\ee \to \piz\zcz \to\piz\piz\jpsi$ are extracted, and the corresponding line shape is found to agree with that of the $Y(4220)$.

中文翻译：

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过程+ e-→π0π0J/ψ与中性类on原子态Zc（3900）0的研究

通过使用在BEPCII上运行的BESIII检测器收集的12.4〜$ ifb $数据样本，可以高精度地测量过程中在3.808和4.600〜$ \ gev $质心能量处的过程\\ eeppjpsi $。对撞机设施。对所测量的与能量相关的横截面的拟合确定了charm状态的存在$ÿ（4220）$。的质量和宽度$ÿ（4220）$ 被确定为 $（4220.4\pm 2.4\pm 2.3）$〜$ \ mevcc $和$（46.2\pm 4.7\pm 2.1）$〜$ \ mev $，其中第一个不确定性是统计性的，第二个不确定性是系统性的。质量和宽度与过程$ \ eeppjpsic $中测量的一致。在$ pizjpsi $不变质量光谱中突出观察到中性的类on状状态$ zcz $，并且首次进行振幅分析以研究其性质。$ \ zcz $的自旋奇偶性确定为${Ĵ}^P={\mathrm{1个}}^{+}$，并且极点位置是 $（3893.1\pm 2.2\pm 3.0）-\mathrm{一世}（22.2\pm 2.6\pm 7.0）$〜$ \ mevcc $，这与以前对带电$ \ zcc $的研究一致。另外，提取$ \ ee \ to \ piz \ zcz \ to \ piz \ piz \ jpsi $的横截面，发现相应的线形与$ÿ（4220）$。