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

Abstract

Inspired by the BESIII newest observation of X(2370) glueball-like particle, we search its productions in both $e^{+}{e}^{-}$ collisions at $\sqrt{s}=$ 4.95 GeV and proton-proton (pp) collisions at $\sqrt{s}=$ 13 TeV with a parton and hadron cascade model PACIAE. In this model, the final partonic state (FPS) and the final hadronic state (FHS) are consecutively simulated and recorded. The X(2370) glueball- or tetraquark-state is then, respectively, recombined by two gluons or four quarks $ss\bar{s}\bar{s}$ in the FPS using the quantum statistical mechanics inspired dynamically constrained phase-space coalescence (DCPC) model. The X(2370) molecular-state is recombined by the baryon-antibaryon of $\hat{I}›$-$\bar{\hat{I}}›$ or $\hat{I}\pounds$-$\bar{\hat{I}}\pounds$, or by three mesons of $\ddot{I}{€}^{+}\ddot{I}{€}^{-}\hat{I}{\cdot }^{\prime }$, $K^{+}{K}^{-}\hat{I}{\cdot }^{\prime }$, or $K_S^0{K}_S^0\hat{I}{\cdot }^{\prime }$ in the FHS using DCPC model. In both $e^{+}{e}^{-}$ and pp collisions, significant discrepancies in the yields, the transverse momentum spectra and the rapidity distributions among the X(2370) glueball-, tetraquark-, and molecular-state are observed. These discrepancies are proposed as valuable criteria identifying the X(2370) different states from each other. Our results not only support the BESIII observation of glueball-like particle $\mathrm{X}(2370)$ production in $e^{+}{e}^{-}$ collisions, but also serve as a prediction for the $\mathrm{X}(2370)$ production in pp collisions. We strongly suggest the experimental measurement of the X(2370) glueball-like particle production in pp collisions at the LHC energies.

6 pages, 5 figures