Preprint
Article

This version is not peer-reviewed.

Predictions for Identified Hadron (π±, K± and p(p)) Production and Collective Dynamics in Oxygen–Oxygen Collisions at √ sNN= 7 TeV with EPOS4, AMPT-SM, and Angantyr in PYTHIA 8

Submitted:

13 May 2025

Posted:

14 May 2025

You are already at the latest version

Abstract
We study the dynamics of identified hadrons ($\pi^\pm$, $K^\pm$ and $p(\overline{p})$) production in $O+O$ collisions at $\sqrt{s_{NN}}$= 7 TeV using recently updated version of EPOS4, string melting version of A Multi-Phase Transport Model (AMPT-SM) and Angantyr model, incorporated within Pythia 8. We examine the interplay between different mechanisms implemented in these models. Predictions for charged particle multiplicity (\dndeta), transverse momentum ($p_T$) spectra of identified hadrons, particle yield ($dN/dy$) and mean transverse mass ($\langle m_T \rangle$) are presented. To probe the collective behavior of the produced particles, the $p_T$-differential kaons-to-pion and proton-to-pion ratios are studied. While AMPT incorporates some flow effects, EPOS4's implementation of full hydrodynamic flow proves significantly more effective. In contrast, the flow effects in Pythia 8 are substantially weaker compared to the other models. The upcoming \$O+O$ data from the LHC will help constrain the parameters of these models.
Keywords: 
;  ;  ;  ;  

1. Introduction

Ultra-relativistic heavy-ion collisions at the Relativistic Heavy Ion Collider (RHIC) and the Large Hadron Collider (LHC) can create a new primordial state of matter known as the Quark-Gluon Plasma (QGP) characterized by the deconfinement of quarks and gluons. A wide range of experiments have been conducted using various colliding systems and different center-of-mass energies to understand the properties of the QGP, a dense and hot form of matter described by Quantum Chromodynamics (QCD). In this phase, quarks and gluons are the relevant degrees of freedom, unlike mesons and baryons, confined to color-neutral states [1,2,3]. The hydrodynamic nature of the QGP, where it behaves like a perfect fluid [4], has been observed in symmetric heavy-ion ( A + A ) collisions, such as Pb + Pb and Au + Au at the LHC and RHIC respectively. On the other hand, proton-proton (pp) collisions serve as a baseline for comparison.
Recent data from the LHC [5,6] reveal compelling evidences for the formation of a QGP-like behavior in smaller collision systems. Observations in both, high multipilicty pp and p + Pb collisions[7,8] exhibit collective flow phenomena traditionally associated with larger heavy-ion collisions. The observation of “ridge” structure long-range azimuthal correlations in high-multiplicity pp collisions at the LHC [9,10] suggests the presence of hydrodynamic transverse flow, sparking speculation about the creation of small-scale the QGP droplets. This finding challenges the earlier assumption that small systems lack the extreme energy densities required for QGP formation. Investigating the mechanisms behind the QGP formation in these systems represents a pivotal question in high-energy QCD. These findings has generated substantial debate within the heavy-ion physics community and has significantly influenced interpretations of collision data. Consequently, exploring small system collisions at LHC energies is important for advancing our understanding of QGP formation and its underlying dynamics.
The LHC is anticipated to collide oxygen-oxygen ( O + O ) at s N N ≈ 7TeV [11]. This intermediate collision system aims to bridge the gap in particle multiplicity between smaller (pp and p + Pb ) and p + Pb ) and larger ( Pb + Pb ) collisions, allowing for the study of how QGP signatures scale gradually with system size. Although O + O collisions involve a comparable number of nucleons to p + Pb collisions, they exhibit a significantly less dense distribution of participants in the transverse plane, creating a distinct initial state that may influence the subsequent evolution of the system. A comprehensive analysis of oxygen nuclei can enhance our understanding of QGP-like features in small systems. A series of recent theoretical studies [12,13,14,15,16,17,18,19,20] have investigated various aspects of particle production mechanisms, collective flow effects, and light nuclei production across different multiplicity ranges in O + O collisions.
Charged particle multiplicities ( d N ch / d η ), p T spectra, and ratios, collectively referred to as bulk observables and are fundamental probes for investigating the potential formation of the QGP in A + A collisions. Correlations between particle multiplicity and transverse momentum provide insights into the properties of hot hadronic matter [21], enabling the differentiation of soft and hard scattering processes.
This study presents a comparative analysis of identified hadron ( π ± , K ± , p ( p ¯ ) ) production at mid-rapidity ( | y | < 0.5 ) in O + O collisions at s N N = 7TeV, using the AMPT [22,23], Pythia [24], and EPOS4 [25,26,27,28,29,30] event generators. The analysis focuses on global observables, including Bjorken energy density ( ϵ B j ) , p T spectra, rapidity densities (dN/dy), and particle ratios.
The paper is structured as follows: Section 1 presents background on the research motivation and highlights the importance of O + O collisions. Section 2 outlines the event generation methodology using AMPT, Pythiaand EPOS4 models. The results are presented and analyzed in Section 3. Finally, Section 4 provides a summary of the study’s key findings.

2. Event Generators

In this section, we present a brief overview of the AMPT, Pythiaand EPOS4 models.

2.1. AMPT

A Multi Phase Transport Model (AMPT) is a transport model which has been extensively used to study the heavy-ion collisions at RHIC and LHC energies [22,23]. The production of hadrons in AMPT is handled by the HIJING [31], incorporating two key components: the initial spatial and momentum distributions of minijet partons, and the soft string excitations. The ZPC parton cascade model [32] subsequently governs the progression of these partons through space and time. After the evolution of parton cascade, the model converts the remaining partonic degrees of freedom into final-state hadrons using either quark coalescence or string fragmentation. Following their formation, the interactions of these hadrons are modeled by the Hadronic Transport Model (ART) [33]. Two versions of AMPT model, namely, the default AMPT, and string melting (AMPT-SM) are available for simulations. The default AMPT, which relies only on minijet partons from HIJING in the parton cascade and Lund string fragmentation for hadronization [34], can reasonably reproduce the p T spectra and rapidity distributions of identified particles at SPS and RHIC energies, however it underestimates the elliptic flow at RHIC energies [35]. In the AMPT-SM model [35], initially, Lund string fragmentation produces hadrons, which are then decomposed into their valence quarks. These quarks are later recombined into hadrons via a simple quark coalescence model after the ZPC. Successful descriptions of anisotropic flows have been achieved in both large and small collision systems [35,36,37] with this approach.
In this analysis, we used the string melting version of the AMPT model to simulate a dataset of 2.5 million minimum-bias O + O events at s N N = 7TeV.

2.2. Pythia

Angantyr [24], a Pythia 8 based event generator, has been developed to collide heavy nuclei like p A and A A collisions. It incorporates an advanced Glauber model inspired by the color fluctuation model [38,39,40,41,42], along with the DIPSY generator [43,44,45] and Pythia 8’s pp machinery [46]. The color fluctuation model has been enhanced by accounting fluctuations not only in the N N cross-section but also in individual nucleons. This enables the application of the same model to both p A and A A collisions, allowing for the classification of each individual N N sub-collisions as diffractive or (primary or secondary) non-diffractive collisions. Pythia 8 generates corresponding sub-collisions with a specialized diffractive-like treatment for secondary non-diffractive collisions. These sub-collisions are then stacked into full p A or A A events using a model inspired by Fritiof [47] and the wounded nucleon model [48], using Pythia’s MPI machinery. This approach extrapolates pp collision dynamics to heavy-ion collisions using a simplified framework, assuming no collective effects between the constituent sub-collisions. Despite its simplicity, the model accurately predicts charged particle rapidity distributions in p A collisions using minimal adjustable parameters [24], and subsequently provides a reliable description of multiplicity distributions in A A collisions [24,49] without any additional calibration.
For the current study, ≈ 5 million events were generated using Angantyr tune of Pythia.

2.3. EPOS4

EPOS is a comprehensive simulation framework that employs a quantum mechanical multiple scattering approach to describe high-energy collisions. By integrating parton ladders, off-shell remnants, and saturation of parton ladders within a Monte Carlo framework, EPOS provides a detailed understanding of both the initial and final stages of pp and A + A collisions. EPOS uses a combined Gribov-Regge theory and eikonalized parton model for the treatment of the first interactions after collisions. This approach ensures conservation laws and treats subsequent interactions equally [50]. Particle production is calculated using Feynman diagrams of QCD-inspired effective field theory. Nucleons consist of constituents with momentum fractions that add up to one. Nucleons can be “spectator”, “participants”, or “remnants”. Spectators don’t interact, while participants or remnants do. EPOS uses its own string model for particle production, which is similar to the Lund string model but has some key differences [51].
EPOS introduces a dynamic process of division of string segments into the “core” and the “corona” regions [52,53,54] to address the issue of high string density in high multiplicity pp and A + A collisions, where individual strings cannot decay independently. The model combines Regge theory [55] for low-density regions (corona) and hydrodynamic equations for high-density regions (core) to simulate particle production across varying densities. A new version of EPOS, known as EPOS4 has been recently released [26,27,28,29]. EPOS4 introduces a novel concept that offers a deeper understanding of the fundamental relationships between four main principles in pp and heavy-ion collisions: rigorous parallel scattering, energy conservation, factorization, and saturation [29]. This framework accurately models high- p T particle production and collective effects in high-multiplicity events, while the dynamic saturation scale implementation does not affect high- p T particle production even with multiple parallel scatterings [27]. For more information, see Refs. [26,27,28,29].
Using EPOS4, we generated 1.5 million minimum bias O + O events, at s N N = 7TeV. We ran EPOS4 simulations with specific parameters for the O + O system. We enabled core-corona effects, hydrodynamic evolution, and hadronic cascade to model collective flow and particle interactions. The centrality classes were determined using the charged particle multiplicy at | y | < 0.5 and is listed in Table. Table 1.

3. Results and Discussion

In this section, the predictions for identified charged hadron ( π ± , K ± , p ( p ¯ ) ) production at | y | < 0.5 in O + O collisions at s N N = 7TeV for different centrality classes using Pythia 8, AMPT-SM, and EPOS4 are presented. Hereafter, π + + π , K + + K , p + p ¯ will be referred to as pions, kaons, and protons, respectively and will be used in the text throuout.

3.1. Bjorken Energy Density

The experimental determination of the initial energy density produced in A + A collisions is a critical objective for characterizing the QGP properties. This quantity serves as a fundamental thermodynamic parameter, constraining the equation of state and transport coefficients of the hot, dense matter formed. The initial energy density is commonly estimated using the Bjorken boost-invariant hydrodynamic model [56]. This model relates the measured transverse energy density ( E T ) at mid-rapidity to the initial energy density, assuming longitudinal boost invariance. The quantitative estimation is obtained by applying the Bjorken formula, typically expressed as
ϵ B j = 1 τ S T d E T d y
where the transverse overlap area of the colliding nuclei is represented by S T , and d E T / d y denotes the transverse energy density at mid-rapidity at a formation time τ . Equation Section 3.1 exhibits a divergence as the formation time approaches zero. Consequently, for the calculation of the Bjorken energy density in this analysis, a finite formation time of τ = 1 is assumed. This regularization is necessary to avoid non-physical infinities in the estimation of the initial energy density. The total transverse energy produced in an event is denoted as E T , and the transverse overlap area of the colliding nuclei is defined as S T = π R 2 , where R represents the effective nuclear radius. Replacing, R = R 0 A 1 / 3 and A = N p a r t / 2 ,
S T = π R 0 2 N p a r t 2 2 / 3
Given the dominant contribution of pions, kaons, and protons to the total transverse energy due to their high production yields, the total transverse energy ( E T ) can be accurately approximated by considering these particle species [57,58,59].
d E T d y 3 2 × m T d N d y π ± + 2 × m T d N d y K ± , p , p ¯
Here, m T = p T 2 + m 2 is transverse mass and d N / d y is the integrated yield of pions, kaons and protons at the | y | < 0.5 . The multiplicative factor in each term serves as a correction for the contributions of corresponding neutral particles, which are not directly measured in this analysis. Simplified form of Eq. Section 3.1 is;
d E T d y 1 τ π R 0 2 N p a r t 2 2 / 3 3 2 × m T d N d y π ± + 2 × m T d N d y K ± , p ( p ¯ )
The centrality dependence of integrated particle yields ( d N / d y ) at mid-rapidity for pions, kaons, and protons in O + O collisions at s N N = 7TeV is illustrated in Figure 1 (left). A comparative study of EPOS4, AMPT-SM, and Pythia 8 predictions reveals a universal trend of decreasing yields with increasing centrality. Notably, EPOS4 consistently predicts the highest yields, and Pythia 8 the lowest. The observed hierarchy of yields, with pions being the most abundant, followed by kaons and protons, aligns with thermalized Boltzmann production mechanisms in high-energy nuclear reactions. The increased kaon production observed in EPOS4 simulations is attributed to the hydrodynamic formation of a dense medium, which subsequently facilitates strange quark production via in-medium processes.
Figure 1 (right) presents the mean transverse mass ( m T ) as a function of centrality in O + O collisions at s N N = 7TeV from EPOS4, AMPT-SM and Pythia 8. It is observed that m T exhibits a weak dependence on centrality across all models. Protons have the highest m T , followed by kaons, and pions, which is expected due to their mass ordering, m p > m K > m π which is consistent with the expectation that heavier particles have higher average transverse mass due to their mass-dependent momentum distributions. AMPT-SM predicts higher m T for all particles, especially for protons and kaons. AMPT-SM includes strong partonic interactions and hadron re-scattering, leading to higher m T values due to enhanced transverse flow. The decreasing trend of m T with centrality suggests stronger final-state interactions in central collisions. EPOS4 predicts m T , lying between AMPT-SM and Pythia 8. EPOS4 is hydrodynamic model which includes transverse flow from both partonic and hadronic phases, and the flow is influenced by multi-parton interactions and flow-induced correlations. On the other hand, Pythia 8, which lacks both partonic interactions and a hydrodynamic phase, shows the lowest m T , consistent with a purely perturbative QCD-based approach. The m T remains nearly the same, indicating a similar spectral shape for all models.
Figure 2 presents the Bjorken energy density ( ε B j ) extracted using Eq. 4 at | y | < 0.5 as a function of centrality in O + O collisions at s N N = 7TeV comparing predictions from EPOS4, AMPT-SM, and Pythia 8. The general trend shows that ε B j is highest in the most central collisions and decreases toward peripheral collisions. This behavior aligns with expectations, as more central collisions involve a greater overlap of nuclei, leading to higher particle density and energy deposition per unit volume. It is evident from Eq. 4 that ε B j is strongly dependent on the multiplicity. It is observed that EPOS4 predicts the highest energy density across all centralities which attributed to its inclusion of hydrodynamic evolution and multi-parton interactions. These features enhance collectivity and thermalization, leading to a scenario consistent with the QGP formation and high multiplicity in most central collisions. AMPT-SM predicts lower energy densities than EPOS4 which is due to the difference in the initial states conditions in both of the models. The string-melting mechanism in AMPT allows for some level of partonic interactions before hadronization, resulting in moderate collective effects, though not as pronounced as in EPOS4. The lower ε B j compared to EPOS4 suggests that AMPT does not generate as strong an initial energy density, possibly due to differences in parton scattering rates or equation of state assumptions. On the other hand, Pythia 8 predicts the lowest energy densities, as it is a purely hadronic model that does not incorporate QGP-like effects or significant collective behavior. The dashed line in Figure 2 representing a critical energy density threshold ε c , indicating the QGP formation threshold from lattice QCD calculations [59]. It is observed that all the models are above the threshold value which hints at observing the signals of QGP in O + O collisions at the LHC energies.

3.2. Transverse Momentum ( p T ) Spectra

The transverse momentum p T spectra of identified particles are essential for understanding particle production, QGP dynamics, and hadronization in heavy-ion collisions [60,61,62]. Figure 3 compares the transverse momentum ( p T ) spectra of identified hadrons at | y | < 0.5 in O + O collisions at s = 7 TeV from Pythia 8 (left), AMPT-SM (middle) and EPOS4 (right). The spectra are shown for two centrality classes; (0–5%) central collisions are scaled by a factor of 5 × 10 2 for better visualization and (50-60%) peripheral collisions. Pions exhibit the highest yields across all models and centralities, followed by kaons and protons, reflecting the particle mass hierarchy. Central collisions show significantly higher yields compared to peripheral collisions, and generally exhibit a flatter slope at higher p T , indicating a higher average transverse momentum. The slope of the p T spectra predicted by EPOS4 compared to other models is relatively flat, particularly for protons, suggesting stronger radial flow [20]. This is consistent with EPOS4 incorporating hydrodynamic evolution, which enhances the collective expansion of the medium and pushes heavier particles to higher p T . AMPT-SM also shows evidence of collective flow due to partonic scatterings in the string-melting mechanism, but the effect is less pronounced compared to EPOS4. Pythia 8, on the other hand, predicts the softest spectra, particularly for protons, as it lacks partonic interactions and collective expansion, relying primarily on hadronization from string fragmentation. The difference between the central (0-5%) and mid-peripheral (50-60%) collisions is also significant. In all simulations, the spectra in central collisions are systematically higher due to the larger number of participating nucleons. Additionally, the convergence of the p T spectra at intermediate p T across all models suggests the presence of radial flow, which is known to push heavier particles to higher p T . This effect is strongest in EPOS4, moderate in AMPT-SM, and weakest in PYTHIA-8.

3.3. Particle Ratios

This section presents predictions of p T -differential ratios for kaons and protons relative to pions in O + O collisions at s N N = 7TeV, using EPOS4, AMPT, and Pythia 8. Particle ratios provide insights into the relative production of different hadron species, which can reveal information about the underlying production mechanisms and the properties of the medium created in the collisions. Figure 4 presents a comparison of particle yield ratios as a function of transverse momentum p T in (0–5%) central O + O collisions at s N N = 7TeV. The left panel shows the kaon-to-pion ratio, while the right panel displays the proton-to-pion ratio. Three different simulations EPOS4, AMPT-SM, and PYTHIA-8—are compared. The ratios increase with p T , indicating that kaons and protons become relatively more abundant at higher transverse momentum compared to pions. This trend is consistent with expectations from mass-dependent spectral shapes due to radial flow and hadronization dynamics. EPOS4 exhibits a higher kaon-to-pion and proton-to-pion ratio than PYTHIA-8, particularly at intermediate p T . This suggests that EPOS4 generates more pronounced radial flow or different hadronization dynamics. Additionally, EPOS4 is a hydrodynamic model that produces a QGP-like medium. This medium facilitates the production of strange quarks resulting in enhanced kaon-to-pion ratio at intermediate p T . The AMPT-SM model generally predicts ratios similar to EPOS4 but with slightly different trends at intermediate p T . AMPT includes partonic interactions and a hadron transport phase, which may explain the closer agreement with EPOS4. Pythia/Angantyar systematically predicts lower ratios compared to EPOS4 and AMPT-SM, especially at intermediate p T . Since Pythia 8 is a purely perturbative QCD-based model without partonic medium interactions, it tends to underestimate radial flow effects, leading to lower kaon and proton production relative to pions.

3.4. Mean Transverse Momentum ( p T )

The mean transverse momentum p T of pions, kaons and protons at | y | < 0.5 as a function of particle masses in central (0–5%) O + O collisions at s N N = 7TeV from EPOS4, AMPT-S and Pythia 8 is shown in Figure 5. The predictions from the simulations were compared with the published data from pp, p + Pb and P b + P b collisions from the ALICE experiment. It is observed that p T follows a mass hierarchy across different systems, reflecting the impact of collective expansion. Heavier particles receive a stronger boost from the collective expansion of the medium, leading to higher p T . Both, EPOS4 and AMPT-SM predict similar p T for each particle species, with AMPT-SM slightly higher, particularly for protons. This suggests that both models incorporate collective effects, but AMPT-SM may have stronger partonic interactions or final-state rescattering. These predictions from simulations in O + O collisions are in reasonable agreement with experimental data from p p collisions at s NN = 900 GeV [63] and 7 TeV[64], p + Pb collisions at s NN = 5.02 TeV [65] and Pb + Pb collisions at s NN = 2.76 TeV [66] especially for pions and kaons. However, for protons, the ALICE p + Pb data at higher energy shows a significantly higher p T , indicating that larger collision systems with more collective flow lead to stronger boosts for heavier particles. While none of the model explain the p T of protons. The upcoming O + O collisions at the LHC will be helpful to further constrain the model parameters for better understanding.

4. Conclusions

This study investigates the production of various identified hadron ( π ± , K ± and p ( p ¯ ) ) in O + O collisions at s NN = 7 TeV using EPOS4, AMPT-SM and Pythia 8 Angantyr. The key findings of this investigation are summarized below:
  • The distribution of all charged-particle multiplicity ( d N ch / d η ) is successfully reproduced by all models used for the current study. However, EPOS4 predicts the higher multiplicity particularly in most central collisions where the core part is dominated. The comparison of these predictions with future experimental data from the LHC experiments will certainly be helpful to check the model’s capability of describing particle production in O + O collisions.
  • All of the models successfully reproduce the shape of p T spectra for π ± , K ± and p ( p ¯ ) . A clear mass ordering is observed, consistent with observations in other collision systems. The convergence of heavier particle (proton) spectra with lighter particle (pions) at intermediate p T is more pronounced in EPOS4 provides hint for the presence of radial flow in O + O collisions.
  • The difference in the d N / d y of particle type is due to the interplay of different physics mechanisms between the models. d N / d y exhibits a strongs centrality dependent for all models.
  • We observed a strong centrality dependence in K / π and p / π ratios especially in EPOS4 and AMPT-SM compared to Pythia 8. The radial flow effects in p / π ratio in Pythia 8 are less significant. K / π ratios exhibits an increase in strangeness enhancement with increasing p T in EPOS4 and AMPT-SM. This effect is less significant in Pythia 8.
  • We observe an increase in average transverse momentum ( p T ) with increasing centrality indicating stronger radial flow in more central collisions. The models follow the trend established by the already existing data from different collision systems.
To fully interpret these observations, a comparison with future experimental data is essential. The forthcoming data from O + O collisions at the LHC will be particularly valuable, offering critical insights into the heavy-ion-like behavior observed in small systems and enabling the refinement of model parameters.

References

  1. Busza, W.; Rajagopal, K.; van der Schee, W. Heavy Ion Collisions: The Big Picture, and the Big Questions. Ann. Rev. Nucl. Part. Sci. 2018, arXiv:hep-ph/1802.04801]68, 339–376. [Google Scholar] [CrossRef]
  2. Becattini, F. The Quark Gluon Plasma and relativistic heavy ion collisions in the LHC era. J. Phys. Conf. Ser. 2014, 527, 012012. [Google Scholar] [CrossRef]
  3. Aoki, Y.; Endrodi, G.; Fodor, Z.; Katz, S.D.; Szabo, K.K. The Order of the quantum chromodynamics transition predicted by the standard model of particle physics. Nature 2006, 443, 675–678. [Google Scholar] [CrossRef] [PubMed]
  4. Heinz, U.; Snellings, R. Collective flow and viscosity in relativistic heavy-ion collisions. Ann. Rev. Nucl. Part. Sci. 2013, arXiv:nucl-th/1301.2826]63, 123–151. [Google Scholar] [CrossRef]
  5. Adam, J.; et al. Enhanced production of multi-strange hadrons in high-multiplicity proton-proton collisions. Nature Phys. 2017, arXiv:nucl-ex/1606.07424]13, 535–539. [Google Scholar] [CrossRef]
  6. Khachatryan, V.; et al. Evidence for collectivity in pp collisions at the LHC. Phys. Lett. B 2017, arXiv:nucl-ex/1606.06198]765, 193–220. [Google Scholar] [CrossRef]
  7. Li, W. Observation of a ’Ridge’ correlation structure in high multiplicity proton-proton collisions: A brief review. Mod. Phys. Lett. A 2012, arXiv:nucl-ex/1206.0148]27, 1230018. [Google Scholar] [CrossRef]
  8. Abelev, B.B.; et al. Long-range angular correlations of π, K and p in p-Pb collisions at sNN = 5.02 TeV. Phys. Lett. B 2013, arXiv:nucl-ex/1307.3237]726, 164–177. [Google Scholar] [CrossRef]
  9. Werner, K.; Karpenko, I.; Pierog, T. The ’Ridge’ in Proton-Proton Scattering at 7 TeV. Phys. Rev. Lett. 2011, arXiv:hep-ph/1011.0375]106, 122004. [Google Scholar] [CrossRef]
  10. Werner, K.; Karpenko, I.; Pierog, T.; Bleicher, M.; Mikhailov, K. Evidence for hydrodynamic evolution in proton-proton scattering at 900 GeV. Phys. Rev. C 2011, arXiv:nucl-th/1010.0400]83, 044915. [Google Scholar] [CrossRef]
  11. Brewer, J.; Mazeliauskas, A.; van der Schee, W. Opportunities of OO and pO collisions at the LHC. In Proceedings of the Opportunities of OO and pO collisions at the LHC, [arXiv:hep-ph/2103.01939]. 3 2021. [Google Scholar]
  12. Rybczyński, M.; Broniowski, W. Glauber Monte Carlo predictions for ultrarelativistic collisions with 16O. Phys. Rev. C 2019, arXiv:hep-ph/1910.09489]100, 064912. [Google Scholar] [CrossRef]
  13. Lim, S.H.; Carlson, J.; Loizides, C.; Lonardoni, D.; Lynn, J.E.; Nagle, J.L.; Orjuela Koop, J.D.; Ouellette, J. Exploring New Small System Geometries in Heavy Ion Collisions. Phys. Rev. C 2019, arXiv:nucl-th/1812.08096]99, 044904. [Google Scholar] [CrossRef]
  14. Sievert, M.D.; Noronha-Hostler, J. CERN Large Hadron Collider system size scan predictions for PbPb, XeXe, ArAr, and OO with relativistic hydrodynamics. Phys. Rev. C 2019, arXiv:nucl-th/1901.01319]100, 024904. [Google Scholar] [CrossRef]
  15. Huang, S.; Chen, Z.; Jia, J.; Li, W. Disentangling contributions to small-system collectivity via scans of light nucleus-nucleus collisions. Phys. Rev. C 2020, arXiv:nucl-ex/1904.10415]101, 021901. [Google Scholar] [CrossRef]
  16. Schenke, B.; Shen, C.; Tribedy, P. Running the gamut of high energy nuclear collisions. Phys. Rev. C 2020, arXiv:nucl-th/2005.14682]102, 044905. [Google Scholar] [CrossRef]
  17. Zakharov, B.G. Jet quenching from heavy to light ion collisions. JHEP 2021, arXiv:hep-ph/2105.09350]09, 087. [Google Scholar] [CrossRef]
  18. Huss, A.; Kurkela, A.; Mazeliauskas, A.; Paatelainen, R.; van der Schee, W.; Wiedemann, U.A. Predicting parton energy loss in small collision systems. Phys. Rev. C 2021, arXiv:hep-ph/2007.13758]103, 054903. [Google Scholar] [CrossRef]
  19. Khan, A.M.; Ashraf, M.U.; Alfanda, H.M.; Aslam, M.U. Dynamics of identified particles production in oxygen–oxygen collisions at sNN=7 TeV using EPOS4. Eur. Phys. J. A 2024, arXiv:hep-ph/2402.13843]60, 207. [Google Scholar] [CrossRef]
  20. Ashraf, M.U.; Khan, A.M.; Singh, J.; Nigmatkulov, G.; Roch, H.; Kabana, S. Multiplicity dependence of (multi)strange hadrons in oxygen-oxygen collisions at s NN =7 TeV using EPOS4 and AMPT 2024. arXiv:hep-ph/2406.04096].
  21. Van Hove, L. Multiplicity Dependence of p(T) Spectrum as a Possible Signal for a Phase Transition in Hadronic Collisions. Phys. Lett. B 1982, 118, 138. [Google Scholar] [CrossRef]
  22. Lin, Z.W.; Ko, C.M.; Li, B.A.; Zhang, B.; Pal, S. A Multi-phase transport model for relativistic heavy ion collisions. Phys. Rev. C 2005, 72, 064901. [Google Scholar] [CrossRef]
  23. Ma, G.L.; Lin, Z.W. Predictions for sNN=5.02 TeV Pb+Pb Collisions from a Multi-Phase Transport Model. Phys. Rev. C 2016, arXiv:nucl-th/1601.08160]93, 054911. [Google Scholar] [CrossRef]
  24. Bierlich, C.; Gustafson, G.; Lönnblad, L.; Shah, H. The Angantyr model for Heavy-Ion Collisions in PYTHIA8. JHEP 2018, arXiv:hep-ph/1806.10820]10, 134. [Google Scholar] [CrossRef]
  25. Porteboeuf, S.; Pierog, T.; Werner, K. Producing Hard Processes Regarding the Complete Event: The EPOS Event Generator. In Proceedings of the 45th Rencontres de Moriond on QCD and High Energy Interactions. Gioi Publishers; 2010; p. 135. [Google Scholar]
  26. Werner, K.; Guiot, B. Perturbative QCD concerning light and heavy flavor in the EPOS4 framework. Phys. Rev. C 2023, arXiv:hep-ph/2306.02396]108, 034904. [Google Scholar] [CrossRef]
  27. Werner, K. Revealing a deep connection between factorization and saturation: New insight into modeling high-energy proton-proton and nucleus-nucleus scattering in the EPOS4 framework. Phys. Rev. C 2023, arXiv:hep-ph/2301.12517]108, 064903. [Google Scholar] [CrossRef]
  28. Werner, K. Core-corona procedure and microcanonical hadronization to understand strangeness enhancement in proton-proton and heavy ion collisions in the EPOS4 framework. Phys. Rev. C 2024, arXiv:hep-ph/2306.10277]109, 014910. [Google Scholar] [CrossRef]
  29. Werner, K. Parallel scattering, saturation, and generalized Abramovskii-Gribov-Kancheli (AGK) theorem in the EPOS4 framework, with applications for heavy-ion collisions at sNN of 5.02 TeV and 200 GeV. Phys. Rev. C 2024, arXiv:hep-ph/2310.09380]109, 034918. [Google Scholar] [CrossRef]
  30. Werner, K.; Jahan, J.; Karpenko, I.; Pierog, T.; Stefaniak, M.; Vintache, D. Heavy ion collisions from sNN of 62.4 GeV down to 7.7 GeV in the EPOS4 framework. Phys. Rev. C 2025, arXiv:hep-ph/2401.11275]111, 014903. [Google Scholar] [CrossRef]
  31. Wang, X.N.; Gyulassy, M. HIJING: A Monte Carlo model for multiple jet production in p p, p A and A A collisions. Phys. Rev. D 1991, 44, 3501–3516. [Google Scholar] [CrossRef]
  32. Zhang, B. ZPC 1.0.1: A Parton cascade for ultrarelativistic heavy ion collisions. Comput. Phys. Commun. 1998, 109, 193–206. [Google Scholar] [CrossRef]
  33. Li, B.A.; Ko, C.M. Formation of superdense hadronic matter in high-energy heavy ion collisions. Phys. Rev. C 1995, 52, 2037–2063. [Google Scholar] [CrossRef]
  34. Sjostrand, T.; Mrenna, S.; Skands, P.Z. A Brief Introduction to PYTHIA 8.1. Comput. Phys. Commun. 2008, arXiv:hep-ph/0710.3820]178, 852–867. [Google Scholar] [CrossRef]
  35. Lin, Z.w.; Ko, C.M. Partonic effects on the elliptic flow at RHIC. Phys. Rev. C 2002, 65, 034904. [Google Scholar] [CrossRef]
  36. Bzdak, A.; Ma, G.L. Elliptic and triangular flow in p+Pb and peripheral Pb+Pb collisions from parton scatterings. Phys. Rev. Lett. 2014, arXiv:hep-ph/1406.2804]113, 252301. [Google Scholar] [CrossRef]
  37. Ma, G.L.; Bzdak, A. Long-range azimuthal correlations in proton–proton and proton–nucleus collisions from the incoherent scattering of partons. Phys. Lett. B 2014, arXiv:hep-ph/1404.4129]739, 209–213. [Google Scholar] [CrossRef]
  38. Heiselberg, H.; Baym, G.; Blaettel, B.; Frankfurt, L.L.; Strikman, M. Color transparency, color opacity, and fluctuations in nuclear collisions. Phys. Rev. Lett. 1991, 67, 2946–2949. [Google Scholar] [CrossRef] [PubMed]
  39. Blaettel, B.; Baym, G.; Frankfurt, L.L.; Heiselberg, H.; Strikman, M. Hadronic cross-section fluctuations. Phys. Rev. D 1993, 47, 2761–2772. [Google Scholar] [CrossRef]
  40. Alvioli, M.; Strikman, M. Color fluctuation effects in proton-nucleus collisions. Phys. Lett. B 2013, arXiv:hep-ph/1301.0728]722, 347–354. [Google Scholar] [CrossRef]
  41. Alvioli, M.; Frankfurt, L.; Guzey, V.; Strikman, M. Revealing “flickering” of the interaction strength in pA collisions at the CERN LHC. Phys. Rev. C 2014, arXiv:hep-ph/1402.2868]90, 034914. [Google Scholar] [CrossRef]
  42. Alvioli, M.; Cole, B.A.; Frankfurt, L.; Perepelitsa, D.V.; Strikman, M. Evidence for x-dependent proton color fluctuations in pA collisions at the CERN Large Hadron Collider. Phys. Rev. C 2016, arXiv:hep-ph/1409.7381]93, 011902. [Google Scholar] [CrossRef]
  43. Avsar, E.; Gustafson, G.; Lonnblad, L. Energy conservation and saturation in small-x evolution. JHEP 2005, 07, 062. [Google Scholar] [CrossRef]
  44. Avsar, E.; Gustafson, G.; Lonnblad, L. Small-x dipole evolution beyond the large-N(c) imit. JHEP 2007, 01, 012. [Google Scholar] [CrossRef]
  45. Flensburg, C.; Gustafson, G.; Lonnblad, L. Inclusive and Exclusive Observables from Dipoles in High Energy Collisions. JHEP 2011, arXiv:hep-ph/1103.4321]08, 103. [Google Scholar] [CrossRef]
  46. Sjöstrand, T.; Ask, S.; Christiansen, J.R.; Corke, R.; Desai, N.; Ilten, P.; Mrenna, S.; Prestel, S.; Rasmussen, C.O.; Skands, P.Z. An introduction to PYTHIA 8.2. Comput. Phys. Commun. 2015, arXiv:hep-ph/1410.3012]191, 159–177. [Google Scholar] [CrossRef]
  47. Andersson, B.; Gustafson, G.; Nilsson-Almqvist, B. A Model for Low p(t) Hadronic Reactions, with Generalizations to Hadron - Nucleus and Nucleus-Nucleus Collisions. Nucl. Phys. B 1987, 281, 289–309. [Google Scholar] [CrossRef]
  48. Bialas, A.; Bleszynski, M.; Czyz, W. Multiplicity Distributions in Nucleus-Nucleus Collisions at High-Energies. Nucl. Phys. B 1976, 111, 461–476. [Google Scholar] [CrossRef]
  49. Acharya, S.; et al. Centrality and pseudorapidity dependence of the charged-particle multiplicity density in Xe–Xe collisions at sNN =5.44TeV. Phys. Lett. B 2019, arXiv:nucl-ex/1805.04432]790, 35–48. [Google Scholar] [CrossRef]
  50. Drescher, H.J.; Hladik, M.; Ostapchenko, S.; Pierog, T.; Werner, K. Parton based Gribov-Regge theory. Phys. Rept. 2001, 350, 93–289. [Google Scholar] [CrossRef]
  51. Werner, K. Strings, pomerons, and the venus model of hadronic interactions at ultrarelativistic energies. Phys. Rept. 1993, 232, 87–299. [Google Scholar] [CrossRef]
  52. Werner, K. Core-corona separation in ultra-relativistic heavy ion collisions. Phys. Rev. Lett. 2007, arXiv:nucl-th/0704.1270]98, 152301. [Google Scholar] [CrossRef]
  53. Werner, K.; Karpenko, I.; Pierog, T.; Bleicher, M.; Mikhailov, K. Event-by-Event Simulation of the Three-Dimensional Hydrodynamic Evolution from Flux Tube Initial Conditions in Ultrarelativistic Heavy Ion Collisions. Phys. Rev. C 2010, arXiv:nucl-th/1004.0805]82, 044904. [Google Scholar] [CrossRef]
  54. Werner, K.; Guiot, B.; Karpenko, I.; Pierog, T. Analysing radial flow features in p-Pb and p-p collisions at several TeV by studying identified particle production in EPOS3. Phys. Rev. C 2014, arXiv:nucl-th/1312.1233]89, 064903. [Google Scholar] [CrossRef]
  55. Werner, K.; Guiot, B.; Karpenko, I.; Pierog, T.; Sophys, G.; Stefaniak, M. Epos. EPJ Web Conf. 2019, 208, 11005. [Google Scholar] [CrossRef]
  56. Bjorken, J.D. Highly Relativistic Nucleus-Nucleus Collisions: The Central Rapidity Region. Phys. Rev. D 1983, 27, 140–151. [Google Scholar] [CrossRef]
  57. Adam, J.; et al. Measurement of transverse energy at midrapidity in Pb-Pb collisions at sNN=2.76 TeV. Phys. Rev. C 2016, arXiv:nucl-ex/1603.04775]94, 034903. [Google Scholar] [CrossRef]
  58. Abelev, B.I.; et al. Systematic Measurements of Identified Particle Spectra in pp,d+ Au and Au+Au Collisions from STAR. Phys. Rev. C 2009, arXiv:nucl-ex/0808.2041]79, 034909. [Google Scholar] [CrossRef]
  59. Karsch, F. Lattice results on QCD thermodynamics. Nucl. Phys. A 2002, 698, 199–208. [Google Scholar] [CrossRef]
  60. Andronic, A. An overview of the experimental study of quark-gluon matter in high-energy nucleus-nucleus collisions. Int. J. Mod. Phys. A 2014, arXiv:nucl-ex/1407.5003]29, 1430047. [Google Scholar] [CrossRef]
  61. Andronic, A.; Braun-Munzinger, P.; Redlich, K.; Stachel, J. Decoding the phase structure of QCD via particle production at high energy. Nature 2018, arXiv:nucl-th/1710.09425]561, 321–330. [Google Scholar] [CrossRef]
  62. Andronic, A.; Braun-Munzinger, P.; Gündüz, D.; Kirchhoff, Y.; Köhler, M.K.; Stachel, J.; Winn, M. Influence of modified light-flavor hadron spectra on particle yields in the statistical hadronization model. Nucl. Phys. A 2021, arXiv:nucl-th/2011.03826]1010, 122176. [Google Scholar] [CrossRef]
  63. Aamodt, K.; et al. Production of pions, kaons and protons in pp collisions at s=900 GeV with ALICE at the LHC. Eur. Phys. J. C 2011, arXiv:hep-ex/1101.4110]71, 1655. [Google Scholar] [CrossRef]
  64. Adam, J.; et al. Measurement of pion, kaon and proton production in proton–proton collisions at s=7 TeV. Eur. Phys. J. C 2015, arXiv:nucl-ex/1504.00024]75, 226. [Google Scholar] [CrossRef] [PubMed]
  65. Adam, J.; et al. Multiplicity dependence of charged pion, kaon, and (anti)proton production at large transverse momentum in p-Pb collisions at sNN = 5.02 TeV. Phys. Lett. B 2016, arXiv:nucl-ex/1601.03658]760, 720–735. [Google Scholar] [CrossRef]
  66. Abelev, B.; et al. Centrality dependence of π, K, p production in Pb-Pb collisions at sNN = 2.76 TeV. Phys. Rev. C 2013, arXiv:hep-ex/1303.0737]88, 044910. [Google Scholar] [CrossRef]
Figure 1. (Color online) The centrality dependence of integrated yields ( d N / d y ) of (left) and m T of pions, kaons and protons at | y | < 0.5 in O + O collisions at s N N = 7TeV from AMPT-SM EPOS4, and Pythia 8. EPOS4 results are scaled by 1 / 2 .
Figure 1. (Color online) The centrality dependence of integrated yields ( d N / d y ) of (left) and m T of pions, kaons and protons at | y | < 0.5 in O + O collisions at s N N = 7TeV from AMPT-SM EPOS4, and Pythia 8. EPOS4 results are scaled by 1 / 2 .
Preprints 159384 g001
Figure 2. (Color online) Centrality dependence of Bjorken energy density ( ε B j ) at | y | < 0.5 in O + O collisions at s N N = 7 TeV from EPOS4, AMPT-SM, and Pythia. Different symbols show various models. EPOS4 simulations are scaled by a factor of 0.5.
Figure 2. (Color online) Centrality dependence of Bjorken energy density ( ε B j ) at | y | < 0.5 in O + O collisions at s N N = 7 TeV from EPOS4, AMPT-SM, and Pythia. Different symbols show various models. EPOS4 simulations are scaled by a factor of 0.5.
Preprints 159384 g002
Figure 3. (Color online) The transverse momentum p T spectra of pions, kaons and protons at | y | < 0.5 in central (0–5%) and peripheral (50–60%) O + O collisions at s N N = 7TeV from Pythia/Angantyar (left), AMPT-SM (middle) and EPOS4 (right). Markers of different style shows the prediction from different models.
Figure 3. (Color online) The transverse momentum p T spectra of pions, kaons and protons at | y | < 0.5 in central (0–5%) and peripheral (50–60%) O + O collisions at s N N = 7TeV from Pythia/Angantyar (left), AMPT-SM (middle) and EPOS4 (right). Markers of different style shows the prediction from different models.
Preprints 159384 g003
Figure 4. (Color online) p T -differential kaon-to-pion ratio (left) and proton-to-pion ratio (right ) at mid-rapidity in central (0–5%) O + O collisions at s N N = 7TeV from Pythia/Angantyar, AMPT-SM and EPOS4. Markers of different style shows the prediction from different models.
Figure 4. (Color online) p T -differential kaon-to-pion ratio (left) and proton-to-pion ratio (right ) at mid-rapidity in central (0–5%) O + O collisions at s N N = 7TeV from Pythia/Angantyar, AMPT-SM and EPOS4. Markers of different style shows the prediction from different models.
Preprints 159384 g004
Figure 5. (Color online) Mean Transverse momentum p T of pions, kaons and protons at mid-rapidity as a function of particle masses in central (0–5%) O + O collisions at s N N = 7TeV from EPOS4, AMPT-SM and Pythia. Different symbols show various models.
Figure 5. (Color online) Mean Transverse momentum p T of pions, kaons and protons at mid-rapidity as a function of particle masses in central (0–5%) O + O collisions at s N N = 7TeV from EPOS4, AMPT-SM and Pythia. Different symbols show various models.
Preprints 159384 g005
Table 1. Charged-particle multiplicity ( d N ch / d η ) values at | η | < 0.5 in O + O collisions at s N N = 7TeV. The values are shown for different centrality classes using Pythia 8, AMPT-SM and EPOS4.
Table 1. Charged-particle multiplicity ( d N ch / d η ) values at | η | < 0.5 in O + O collisions at s N N = 7TeV. The values are shown for different centrality classes using Pythia 8, AMPT-SM and EPOS4.
Centrality (%) Pythia 8 AMPT-SM EPOS4
d N ch / d η ± rms d N ch / d η ± rms d N ch / d η ± rms
0 – 5 151.934 ± 0.028 188.293 ± 0.044 236.898 ± 0.064
5 – 10 122.193 ± 0.025 145.678 ± 0.038 189.679 ± 0.057
10 – 20 97.452 ± 0.016 110.442 ± 0.024 105.717 ± 0.030
20 – 30 72.190 ± 0.013 76.085 ± 0.020 72.190 ± 0.013
30 – 40 52.405 ± 0.011 51.471 ± 0.016 75.086 ± 0.026
40 – 50 36.969 ± 0.010 34.188 ± 0.013 53.145 ± 0.021
50 – 60 25.127 ± 0.008 22.082 ± 0.011 37.145 ± 0.018
60 – 80 12.565 ± 0.004 11.117 ± 0.005 19.875 ± . 009
80 – 100 3.254 ± 0.002 3.761 ± 0.003 5.118 ± 0.005
Disclaimer/Publisher’s Note: The statements, opinions and data contained in all publications are solely those of the individual author(s) and contributor(s) and not of MDPI and/or the editor(s). MDPI and/or the editor(s) disclaim responsibility for any injury to people or property resulting from any ideas, methods, instructions or products referred to in the content.
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
Prerpints.org logo

Preprints.org is a free preprint server supported by MDPI in Basel, Switzerland.

Subscribe

Disclaimer

Terms of Use

Privacy Policy

Privacy Settings

© 2025 MDPI (Basel, Switzerland) unless otherwise stated