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Predictions in modified Glauber model of total charged-particle yields centrality dependence in O+O and Ne+Ne collisions at LHC

Svetlana Simak, Grigory Feofilov

TL;DR

This work addresses how centrality influences the total charged-particle yields in light-ion collisions at the LHC. It extends the Glauber framework with a Monte Carlo Modified Glauber Model (MGM) that enforces energy-momentum conservation via a universal momentum-loss parameter $k$, yielding a nonlinear description of multiplicity based on per-collision contributions. The study demonstrates that MGM successfully captures the non-linear centrality dependence observed in heavy-ion data and provides predictions for $^{16}$O+$^{16}$O and $^{20}$Ne+$^{20}$Ne at $\sqrt{s_{NN}}=5.36$ TeV$,$ showing yields per participant pair are comparable to semi-central Pb+Pb and Xe+Xe collisions and that $\langle N_{coll} \rangle$ is substantially lower than in the Standard Glauber Model. The findings highlight the dominant roles of energy-momentum conservation and geometric effects in determining total multiplicity yields across system sizes, supporting the applicability of a single-parameter MGM to light-ion collisions at LHC energies.

Abstract

In this article we present the results of application of the Monte Carlo modified Glauber model for the predictions of collision centrality dependence of the total charged-particle yields for 16O +16O and 20Ne+20Ne colliding systems at the LHC. Our model differs from the Standard Glauber model by the effective account of the energy losses in successive inelastic nucleon-nucleon collisions. For this purpose, a single model parameter k is defined as a mean fraction of the momentum loss that happens in any binary nucleon collision due to the production of multiple particles. Therefore, the decrease of the nucleon momentum after each inelastic collision leads to a corresponding reduction of the inelastic cross section and the mean multiplicity yield in the subsequent interaction. All these effects are taken into account in the MC model in each of the subsequent inelastic binary interactions. We discuss the purely geometrical effects for these light colliding systems that could be considered useful in future studies of QGP properties in energy density scanning. Predictions in this single parameter model are based on the previous successful analysis of non-linear centrality dependence of charged particle yields observed in Pb+Pb collisions by ALICE at the LHC.

Predictions in modified Glauber model of total charged-particle yields centrality dependence in O+O and Ne+Ne collisions at LHC

TL;DR

This work addresses how centrality influences the total charged-particle yields in light-ion collisions at the LHC. It extends the Glauber framework with a Monte Carlo Modified Glauber Model (MGM) that enforces energy-momentum conservation via a universal momentum-loss parameter , yielding a nonlinear description of multiplicity based on per-collision contributions. The study demonstrates that MGM successfully captures the non-linear centrality dependence observed in heavy-ion data and provides predictions for O+O and Ne+Ne at TeV showing yields per participant pair are comparable to semi-central Pb+Pb and Xe+Xe collisions and that is substantially lower than in the Standard Glauber Model. The findings highlight the dominant roles of energy-momentum conservation and geometric effects in determining total multiplicity yields across system sizes, supporting the applicability of a single-parameter MGM to light-ion collisions at LHC energies.

Abstract

In this article we present the results of application of the Monte Carlo modified Glauber model for the predictions of collision centrality dependence of the total charged-particle yields for 16O +16O and 20Ne+20Ne colliding systems at the LHC. Our model differs from the Standard Glauber model by the effective account of the energy losses in successive inelastic nucleon-nucleon collisions. For this purpose, a single model parameter k is defined as a mean fraction of the momentum loss that happens in any binary nucleon collision due to the production of multiple particles. Therefore, the decrease of the nucleon momentum after each inelastic collision leads to a corresponding reduction of the inelastic cross section and the mean multiplicity yield in the subsequent interaction. All these effects are taken into account in the MC model in each of the subsequent inelastic binary interactions. We discuss the purely geometrical effects for these light colliding systems that could be considered useful in future studies of QGP properties in energy density scanning. Predictions in this single parameter model are based on the previous successful analysis of non-linear centrality dependence of charged particle yields observed in Pb+Pb collisions by ALICE at the LHC.

Paper Structure

This paper contains 7 sections, 6 equations, 4 figures, 4 tables.

Table of Contents

  1. Introduction
  2. Event simulation and analysis procedure
  3. Nucleus generation
  4. Calculation of each nucleon-nucleon collision in Modified Glauber Model
  5. Results and discussions
  6. Conclusion
  7. Attachment: Modified Glauber Model data

Figures (4)

  • Figure 1: Lines -- are the MGM analysis of the experimental data on heavy ion collisions at the LHC for the total multiplicity normalized to the number of participating nucleon pairs. Experimental points are: Pb+Pb collisions at $\sqrt{s_{NN}}$ =2.76 ALICEPb2760, 5.02 TeVALICEPb5020 and Xe+Xe collisions ALICExe at $\sqrt{s_{NN}}$ =5.44 TeV. Red line -- is the result of our prediction for O16+O16 collisions at $\sqrt{s_{NN}}$=5.36 TeV. The shaded areas are indicating the uncertainties of the MGM calculations.
  • Figure 2: Predictions of the total multiplicity normalized to the number of participating nucleon pairs for O+O and Ne+Ne collisions at $\sqrt{s_{NN}}$ =5.36 TeV. Parameter $k = 0.19$.
  • Figure 3:
  • Figure 4: