Abstract
We investigate the central nucleus–nucleus collisions at 4.2 A GeV/c exploiting the simulated results, obtained from ultra-relativistic quantum molecular dynamic model code1.3. The method used for quantitative analysis is free of the undesired background contributions and needs no prior information. The procured results reveal that the nearest neighbor momentum spacing correlation among the secondary particles sharply decreases with increasing particle multiplicity. The critical values of the multiplicity can be linked with central collisions and employed as a tool to adjust the centrality.
This is a preview of subscription content, access via your institution.


References
Abreu MC et al (1997) Jψ and Drell-Yan cross-sections in Pb-Pb interactions at 158 GeV/c per nucleon. Phys Lett B 410:327–336
Abreu MC et al (2001) NA50 collaboration. Phys Lett B 499:85–96
Agnese A, La Camera M, Wataghin A (1969) On the influence of the transverse momentum of the fireballs on the angular distribution of produced particles in high-energy collisions. Nuovo Cim A 59:71–80
Aichelin J (1991) “Quantum” molecular dynamics—a dynamical microscopic n-body approach to investigate fragment formation and the nuclear equation of state in heavy ion collisions. Phys Rept 202:233–260
Aichelin J, Stocker H (1986) Quantum molecular dynamics—A novel approach to N-body correlations in heavy ion collisions. Phys Lett B 176:14–19
Aichelin J et al (1987) Importance of momentum-dependent interactions for the extraction of the nuclear equation of state from high-energy heavy-ion collisions. Phys Rev Lett 58:1926
Ajaz M (2019) pTspectra of charged hadrons in proton–proton collisions at √s = 200 GeV. Maryam Mod Phys Lett A 34:1950148
Ajaz M et al (2012) Searching for the properties of nuclear matter using proton–carbon and deuteron–carbon collisions at 4.2 A GeV/c. Int J Mod Phys E 21:1250095
Ajaz M et al (2013a) Study of the behavior of the nuclear modification factor in freeze-out state. Chin Phys C 37:024101
Ajaz M et al (2013b) Production of light flavored charged hadron in pp collisions at 900 GeV with hadron production models. Mod Phys Lett A 28:1350175
Ajaz M et al (2013c) The nuclear transparency effect of π − -mesons in p + 12C-and d + 12C-interactions at 4.2 A GeV/c. J Phys G: Nucl Part Phys 40:055101
Ajaz M et al (2016) Average characteristics of π-mesons in HeC and CC interactions at high energies. Int J Mod Phys E 25:1650019
Ajaz M et al (2018a) pT spectra of charged hadrons in proton–proton collisions at√s = 200 GeV. Mod Phys Lett A 33:1850038
Ajaz M et al (2018b) Comparison of different hadron production models for the study of,π±, K± protons and antiprotons production in proton–carbon interactions at 90 GeV/c. Mod Phys Lett A 33:1850079
Ajaz M et al (2019a) Models prediction of particles ratio in pp collisions at√ s = 900 GeV. Indian J Phys. https://doi.org/10.1007/s12648-019-01504-9
Ajaz M et al (2019b) Int J Theor Phys 58:2027–2032
Ajaz M et al (2019c) Charged particles pT spectra and the correlation between pT and all charged particles at √S = 900 GeV. Mod Phys Lett A 34:1950150
Ajaz M, Tufail M, Ali Y (2019d) Production of light flavored charged hadron in pp collisions at 900 GeV with hadron production models. Mod Phys Lett A 34:1950100
Ajaz M et al (2019e) Transverse momentum and nuclear modification factor distributions of charged particles in p + Pb and p + p collisions at √sNN = 5.02 TeV. Mod Phys Lett A 34:1950090
Ajaz M et al (2019f) Study of hadrons produced in proton—carbon interactions at 120 GeV/c using hadron-production models. Phys Atom Nucl 82:291–298
Ajaz M et al (2020a) Study of the production of strange particles in proton–proton collisions at√ s = 0.9 TeV. Arab J Sci Eng 45:411–416
Ajaz M et al (2020b) Testing of model predictions of forward energy flow in pp collisions at √s = 7 TeV. Mod Phys Lett A 35:1950349
Ali Q et al (2018) Study of transverse momentum distributions in p–Pb interactions at 0.9 TeV and 5.02 TeV. Mod Phys Lett A 33:1850179
Ali Q et al (2019a) Distributions of charged particles’ transverse momentum and pseudorapidity in pp collisions at 0.9 TeV. JETP Lett 109:495–498
Ali Q et al (2019b) Transverse momentum and nuclear modification factor distributions of charged particles in p + Pb and p + p collisions at √sNN = 5.02 TeV. Mod Phys Lett A 34:1950120
Ali Y et al (2019c) Study of pion kaon and proton in proton–carbon interactions at 158 GeV/c using hadron production models. Mod Phys Lett A 34:1950078
Ali Y et al (2019d) Study of pseudorapidity and transverse-momentum distributions of charged particles in pp interactions at√ s = 13 TeV Using hadron production models. Int J Theor Phys 58:931–938
Anikina M et al (1986) Pion production in inelastic and central nuclear collisions at high energy. Phys Rev C 33:895
Barrette J et al (1994) Centrality dependence of longitudinal and transverse baryon distributions in ultrarelativistic nuclear collisions. Phys Rev C 50:3047
Bass SA et al (1998) Microscopic models for ultrarelativistic heavy ion collisions. Prog Part Nucl Phys 41:255–369
Bertini HW, Gabriel TA, Santoro RT (1974) Predicted proton spectrum at forward angles for 29.4-GeV nitrogen on carbon. Phys Rev C 9:522
Bleicher M et al (1999) Relativistic hadron-hadron collisions in the ultra-relativistic quantum molecular dynamics model. J. Phys. G 25:1859
Bondorf JP et al (1976) Classical microscopic description of U + U collisions. Phys Lett B 65:217–220
Dabrowska A et al (1993) Particle production in interactions of 200 GeV/nucleon oxygen and sulfur nuclei in nuclear emulsion. Phys Rev D 47:1751
Desbois J (1987) Heavy ion collisions and the site-bond percolation. Nucl Phys A 466:724–748
Hecman HH et al (1978) Search for a signal on intermediate baryon systems formation in hadron-nuclear and nuclear-nuclear interactions at high energies. Phys Rev C 17:1651
Khan KH et al (2014) Light nuclei formation in 12CC collisions at 42A GeV/c. Mod Phys Lett A 29:1450063
Khan KH et al (2016) The study of light nuclei production in different interactions at 4.2 AGeV/c. Can J Phys 94:693–696
Khan R et al (2019a) Transverse momentum distributions of pions, kaons and protons in p–p interactions at 2.76 TeV. Int J Theor Phys 58:1901–1907
Khan R et al (2019b) Model predictions of charged-particle azimuthal distributions and forward-backward correlations in pp interactions at GeV. Commun Theor Phys 71:1172–1178
Nazmitdinov RG et al (2009) Analysis of nucleus-nucleus collisions at high energies and random matrix theory. Phys Rev C 79:054905
Ogilvie CA (1999) Dense, strongly interacting matter: strangeness in heavy-ion reactions 1–10 A GeV. J Phys G: Nucl Part Phys 25:159
Peilert G et al (1989) Multifragmentation, fragment flow, and the nuclear equation of state. Phys Rev C 39:1402
Sandoval A et al (1980) Energy dependence of multi-pion production in high-energy nucleus-nucleus collisions. Phys Rev Lett 45:874
Satz H (1999) The onset of deconfinement in nuclear collisions. Nucl Phys A 661:104–118
Shahaliev EI et al (2006) Random matrix theory and analysis of nucleus-nucleus collision at high energies. Phys Atom Nucl 69(1):142–146
Suleymanov MK et al (2009) Some properties of the central π--meson carbon interactions at 40 GeV/c. Int J Mod Phys A 24:544–548
Suleymanov MK et al (2011) Search for a signal on QCD critical point in central nucleusnucleus collisions. Indian J Phys 85:1047–1050
Ullah S, Ajaz M, Ali Y (2018a) Spectra of strange hadrons and their role in neutrinos flux predictio. EPL 123:31001
Ullah S et al (2018b) π±, K± protons and antiprotons production in proton–carbon interactions at 31 GeV/c using hadron production models. Int J Mod Phys A 33:1850108
Ullah S et al (2019) Hadron production models’ prediction for p T distribution of charged hadrons in pp interactions at 7 TeV. Sci Rep 9:11811
Wazir Z et al (2014) Centrality dependence of pseudorapidity spectra of charged particles produced in the nucleus–nucleus collisions at high energies. Indian J Phys 88:723–726
Wazir Z et al (2019) Transverse momentum distributions of charged hadrons produced in he 12 C collisions at 4.2 A GeV/c. Phys Part Nucl Lett 16:662–666
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Wazir, Z., Kanwal, S., Khan, A. et al. Model Prediction Study of the Nearest Neighbor Spacing Momentum Distributions of Central Nucleus–Nucleus Interactions. Iran J Sci Technol Trans Sci 44, 1225–1230 (2020). https://doi.org/10.1007/s40995-020-00918-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s40995-020-00918-z
Keywords
- Central nucleus–nucleus collisions
- Ultra-relativistic quantum molecular dynamic model
- Particle multiplicity
- Centrality
- Correlations