Nature of $X(2370)$

Abstract

We address the nature of the $X(2370)$ resonance observed in the $J/ψ$ radiative decays, $J/ψ\rightarrowγK^{+} K^{-}η'$, $J/ψ\rightarrowγK_S K_Sη'$ and $J/ψ\rightarrowγπ^{+}π^{-}η'$. By studying the invariant mass spectra we confirm that decays of the $X(2370)$ into three pseudo-scalars are well described by an effective chiral Lagrangian. We extract the branching ratio of $J/ψ\to X(2370)γ$ and show that it is an order of magnitude larger compared to the glueball production rate predicted by lattice QCD. This indicates that $X(2370)$ is not likely to be a glueball candidate.