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Based on $(10087\pm44)\times10^{6}$ $J/\psi$ events collected with the BESIIIdetector, a partial wave analysis of the decay $J/\psi\rightarrow\gammaK^{0}_{S}K^{0}_{S}\eta^{\prime}$ is performed. The mass and width of the$X(2370)$ are measured to be $2395 \pm 11 ({\rm stat})^{+26}_{-94}({\rm syst})\\mathrm{MeV}/c^{2}$ and $188^{+18}_{-17}({\rm stat})^{+124}_{-33}({\rmsyst})~\mathrm{MeV}$, respectively. The corresponding product branchingfraction is $\mathcal{B}[J/\psi\rightarrow\gamma X(2370)] \times\mathcal{B}[X(2370) \rightarrow f_{0}(980)\eta^{\prime}] \times\mathcal{B}[f_{0}(980) \rightarrow K^{0}_{S}K^{0}_{S}] = \left( 1.31 \pm 0.22({\rm stat})^{+2.85}_{-0.84}({\rm syst}) \right) \times 10^{-5}$. Thestatistical significance of the $X(2370)$ is greater than $11.7\sigma$ and thespin-parity is determined to be $0^{-+}$ for the first time. The measured massand spin-parity of the $X(2370)$ are consistent with the predictions of apseudoscalar glueball candidate.

Determination of Spin-Parity of the $X(2370)$ in $J/\psi\rightarrow\gamma K^{0}_{S}K^{0}_{S}\eta^{\prime}$