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Using a data sample collected with the BESIII detector operating at theBEPCII storage ring, we observe a new neutral state $Z_c(3900)^{0}$ with asignificance of $10.4\sigma$. The mass and width are measured to be$3894.8\pm2.3\pm3.2$ MeV/$c^2$ and $29.6\pm8.2\pm8.2$~MeV, respectively, wherethe first error is statistical and the second systematic. The Born crosssection for $e^+e^-\to\pi^0\pi^0 J/\psi$ and the fraction of it attributable to$\pi^0 Z_c(3900)^{0}\to\pi^0\pi^0 J/\psi$ in the range $E_{cm}=4.19-4.42$ GeVare also determined. We interpret this state as the neutral partner of thefour-quark candidate $Z_c(3900)^\pm$.

Observation of $Z_c(3900)^{0}$ in $e^+e^-\to\pi^0\pi^0 J/\psi$