Confirming the glueball-like particle $X(2370)$ productions in $e^{+}{e}^{-}$ collisions at BESIII energy with PACIAE model

The parton and hadron cascade model {\footnotesize PACIAE} is employed to confirm the BESIII newest observation of glueball-like particle $\mathrm{X}(2370)$ production in $e^{+}{e}^{-}$ collisions at $\sqrt{s}=4.95\mathrm{G}\mathrm{e}\mathrm{V}$. We coalesce the $\mathrm{X}(2370)$ glueball state with two gluons in the simulated partonic final state by the Dynamically Constrained Phase-space Coalescence ({\footnotesize DCPC}) model. Alternative configuration of $\mathrm{X}(2370)$ molecular state is recombined in the simulated hadronic final state with ${\pi }^{+},{\pi }^{-},K^{+},K^{-},K_S^0,K_S^0$ and ${\eta }^{\mathrm{\prime }}$ by {\footnotesize DCPC} model. The resulted particle transverse momentum spectrum and rapidity distribution, etc. show a significant discrepancy between the two states. They are not only serving as criteria to distinguish the $\mathrm{X}(2370)$ glueball state or molecular state, but also confirming the BESIII observation of glueball-like particle $\mathrm{X}(2370)$ productions in $e^{+}{e}^{-}$ collisions.