Observation of the $X(2370)$ in $J/ψ\rightarrowγK^{0}_{S}K^{0}_{S}π^{0}$ and $J/ψ\rightarrowγπ^{0}π^{0}η$

Abstract

Based on $(10087\pm44)\times10^{6}$ $J/ψ$ events collected with the BESIII detector, the $J/ψ\rightarrowγK^{0}_{S}K^{0}_{S}π^{0}$ and $J/ψ\rightarrowγπ^{0}π^{0}η$ processes are studied. The $X(2370)$ is observed in both the $K^{0}_{S}K^{0}_{S}π^{0}$ and $π^{0}π^{0}η$ invariant mass spectra, with statistical significances greater than $14σ$ and $20σ$, respectively. Combining measurements from these processes with measurements from the previously reported $J/ψ\rightarrowγK^{0}_{S}K^{0}_{S}η^{\prime}$ process, the mass and width of the $X(2370)$ are determined to be $2359^{+13}_{-14}~\text{MeV}/c^{2}$ and $170^{+44}_{-29}~\text{MeV}$, respectively. In addition, the decay $X(2370)\to a_{0}(980)^{0}π^{0}$ with $a_{0}(980)^{0}\to π^{0}η$ is observed with a statistical significance exceeding $9σ$. The similarities in decay modes between the $X(2370)$ and $η_{c}$ are consistent with the features of a pseudoscalar glueball.