Observation of the $X(2370)$ and search for the $X(2120)$ in $J/ψ\toγK\bar{K} η'$

Abstract

Using a sample of $1.31\times10^{9} ~J/ψ$ events collected with the BESIII detector, we perform a study of $J/ψ\toγK\bar{K}η'$. The $X(2370)$ is observed in the $K\bar{K}η'$ invariant-mass distribution with a statistical significance of 8.3$σ$. Its resonance parameters are measured to be $M = 2341.6 \pm 6.5\text{(stat.)} \pm 5.7\text{(syst.)}$~MeV/$c^{2}$ and $Γ= 117 \pm 10 \text{(stat.)} \pm 8 \text{(syst.)}$~MeV. The product branching fractions for $J/ψ\to γX(2370), X(2370) \to K^{+} K^{-}η'$ and $J/ψ\to γX(2370), X(2370) \to K_{S}^{0} K_{S}^{0}η'$ are determined to be $(1.79 \pm 0.23 \text{(stat.)} \pm 0.65 \text{(syst.)}) \times 10^{-5}$ and $(1.18 \pm 0.32\ text{(stat.)} \pm 0.39 \text{(syst.)}) \times 10^{-5}$, respectively. No evident signal for the $X(2120)$ is observed in the $K\bar{K}η'$ invariant-mass distribution. The upper limits for the product branching fractions of $\mathcal{B}(J/ψ\to γX(2120)\toγK^{+} K^{-} η')$ and $\mathcal{B}(J/ψ\toγX(2120)\toγK_{S}^{0} K_{S}^{0} η')$ are determined to be $1.49\times10^{-5}$ and $6.38\times10^{-6}$ at the 90% confidence level, respectively.