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

The parton and hadron cascade model { PACIAE} is employed to confirm the BESIII newest observation of glueball-like particle X(2370) production in e⁺e⁻ collisions at √s=4.95\,GeV. We coalesce the X(2370) glueball state with two gluons in the simulated partonic final state by the Dynamically Constrained Phase-space Coalescence ({ DCPC}) model. Alternative configuration of X(2370) molecular state is recombined in the simulated hadronic final state with π⁺,π⁻,K⁺, K⁻,KS⁰,KS⁰ and η' by { 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 X(2370) glueball state or molecular state, but also confirming the BESIII observation of glueball-like particle X(2370) productions in e⁺e⁻ collisions.