Study of the process e+e−→π0π0J/ψ and neutral charmoniumlike state Zc(3900)0

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Abstract

Cross sections of the process ${e}^{+}{e}^{\ensuremath{-}}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{0}{\ensuremath{\pi}}^{0}J/\ensuremath{\psi}$ at center-of-mass energies between 3.808 and 4.600 GeV are measured with high precision by using $12.4\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$ 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 charmoniumlike state $Y(4220)$. The mass and width of the $Y(4220)$ are determined to be $(4220.4\ifmmode\pm\else\textpm\fi{}2.4\ifmmode\pm\else\textpm\fi{}2.3)$ $\mathrm{MeV}/{c}^{2}$ and $(46.2\ifmmode\pm\else\textpm\fi{}4.7\ifmmode\pm\else\textpm\fi{}2.1)\text{ }\text{ }\mathrm{MeV}$, respectively, where the first uncertainties are statistical and the second systematic. The mass and width are consistent with those measured in the process ${e}^{+}{e}^{\ensuremath{-}}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}J/\ensuremath{\psi}$. The neutral charmonium-like state ${Z}_{c}(3900{)}^{0}$ is observed prominently in the ${\ensuremath{\pi}}^{0}J/\ensuremath{\psi}$ invariant-mass spectrum, and, for the first time, an amplitude analysis is performed to study its properties. The spin-parity of ${Z}_{c}(3900{)}^{0}$ is determined to be ${J}^{P}={1}^{+}$, and the pole position is $(3893.1\ifmmode\pm\else\textpm\fi{}2.2\ifmmode\pm\else\textpm\fi{}3.0)\ensuremath{-}i(22.2\ifmmode\pm\else\textpm\fi{}2.6\ifmmode\pm\else\textpm\fi{}7.0)\text{ }\text{ }\mathrm{MeV}/{c}^{2}$, which is consistent with previous studies of electrically charged ${Z}_{c}(3900{)}^{\ifmmode\pm\else\textpm\fi{}}$. In addition, cross sections of ${e}^{+}{e}^{\ensuremath{-}}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{0}{Z}_{c}(3900{)}^{0}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{0}{\ensuremath{\pi}}^{0}J/\ensuremath{\psi}$ are extracted, and the corresponding line shape is found to agree with that of the $Y(4220)$.

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