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Advances in High Energy Physics
Volume 2019, Article ID 4604608, 7 pages
https://doi.org/10.1155/2019/4604608
Research Article

Out-Of-Equilibrium Transverse Momentum Spectra of Pions at LHC Energies

1Nile University, Egyptian Center for Theoretical Physics, Juhayna Square of 26th-July-Corridor, 12588 Giza, Egypt
2World Laboratory for Cosmology And Particle Physics (WLCAPP), 11571 Cairo, Egypt

Correspondence should be addressed to Abdel Nasser Tawfik; ge.ude.un@kifwata

Received 9 March 2019; Revised 10 May 2019; Accepted 20 May 2019; Published 2 June 2019

Guest Editor: Sakina Fakhraddin

Copyright © 2019 Abdel Nasser Tawfik. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. N. Gyulassy and L. McLerran, “New forms of QCD matter discovered at RHIC,” Nuclear Physics A, vol. 750, no. 1, pp. 30–63, 2005. View at Publisher · View at Google Scholar
  2. W. Bauer and G. D. Westfall, Advances in Nuclear Dynamics 5, Springer, New York, NY, USA, 1999. View at Publisher · View at Google Scholar
  3. C. Y. Wong and G. Wilk, “Tsallis fits to pT spectra and multiple hard scattering in pp collisions at the LHC,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 87, Article ID 114007, 2013. View at Publisher · View at Google Scholar
  4. B. Andersson, G. Gustafson, and B. Nilsson-Almqvist, “A model for low-pT hadronic reactions with generalizations to hadron-nucleus and nucleus-nucleus collisions,” Nuclear Physics B, vol. 281, no. 1-2, pp. 289–309, 1987. View at Publisher · View at Google Scholar
  5. C.-Y. Wong and G. Gatoff, “The transverse profile of a color flux tube,” Physics Reports, vol. 242, no. 4-6, pp. 489–494, 1994. View at Publisher · View at Google Scholar
  6. I. Kraus, J. Cleymans, H. Oeschler, and K. Redlich, “Particle production in p−p collisions and predictions for √s=14 TeV at the CERN Large Hadron Collider (LHC),” Physical Review C: Nuclear Physics, vol. 79, no. 1, Article ID 014901, 2009. View at Publisher · View at Google Scholar
  7. T. Wibig, “Journal of Physics G: Nuclear and Particle PhysicsThe non-extensivity parameter of a thermodynamical model of hadronic interactions at LHC energies,” Journal of Physics G: Nuclear and Particle Physics, vol. 37, no. 11, Article ID 115009, 2010. View at Google Scholar
  8. S. J. Brodsky, G. de Téramond, and M. Karliner, “Puzzles in hadronic physics and novel quantum chromodynamics phenomenology,” Annual Review of Nuclear and Particle Science, vol. 62, pp. 1–35, 2012. View at Publisher · View at Google Scholar
  9. A. Tawfik, H. Yassin, and E. R. Abo Elyazeed, “Chemical freezeout parameters within generic nonextensive statistics,” Indian Journal of Physics, vol. 92, no. 10, pp. 1325–1335, 2018. View at Publisher · View at Google Scholar · View at Scopus
  10. A. N. Tawfik, “Lattice QCD thermodynamics and RHIC-BES particle production within generic nonextensive statistics,” Physics of Particles and Nuclei Letters, vol. 15, no. 3, pp. 199–209, 2018. View at Google Scholar
  11. A. N. Tawfik, “Axiomatic nonextensive statistics at NICA energies,” The European Physical Journal A, vol. 52, p. 253, 2016. View at Google Scholar
  12. A. Bialas, “Tsallis p distribution from statistical clusters,” Physics Letters B, vol. 747, pp. 190–192, 2015. View at Google Scholar
  13. M. Kataja and P. V. Ruuskanen, “Non-zero chemical potential and the shape of the pT-distribution of hadrons in heavy-ion collisions,” Physics Letters B, vol. 243, no. 3, pp. 181–184, 1990. View at Publisher · View at Google Scholar
  14. N. Bogolubov, “On the theory of superfluidity,” Journal of Physics, vol. XI, no. 1, p. 23, 1947. View at Google Scholar
  15. L. Landau, “On the theory of superfluidity,” Physical Review A: Atomic, Molecular and Optical Physics, vol. 75, no. 5, pp. 884-885, 1949. View at Publisher · View at Google Scholar
  16. F. Karsch, K. Redlich, and A. Tawfik, “Hadron resonance mass spectrum and lattice QCD thermodynamics,” The European Physical Journal C, vol. 29, no. 4, pp. 549–556, 2003. View at Publisher · View at Google Scholar
  17. F. Karsch, K. Redlich, and A. Tawfik, “Thermodynamics at non-zero Baryon number density: a comparison of lattice and Hadron resonance gas model calculations,” Physics Letters B, vol. 571, no. 1-2, pp. 67–74, 2003. View at Publisher · View at Google Scholar
  18. K. Redlich, F. Karsch, and A. Tawfik, “Heavy-ion collisions and lattice QCD at finite baryon density,” Journal of Physics G: Nuclear and Particle Physics, vol. 30, no. 8, p. S1271, 2004. View at Google Scholar
  19. A. Tawfik, “QCD phase diagram: a comparison of lattice and hadron resonance gas model calculations,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 71, Article ID 054502, 2005. View at Publisher · View at Google Scholar
  20. A. Tawfik, “A universal description for the freezeout parameters in heavy-ion collisions,” Nuclear Physics A, vol. 764, pp. 387–392, 2006. View at Publisher · View at Google Scholar
  21. A. Tawfik, “Condition driving chemical freeze-out,” Europhysics Letters, vol. 75, no. 3, p. 420, 2006. View at Publisher · View at Google Scholar
  22. A. Tawfik, “Influence of strange quarks on the QCD phase diagram and chemical freeze-out,” Journal of Physics G: Nuclear and Particle Physics, vol. 31, no. 6, pp. S1105–S1110, 2005. View at Publisher · View at Google Scholar
  23. R. Venugopalan and M. Prakash, “Thermal properties of interacting hadrons,” Nuclear Physics A, vol. 546, no. 4, pp. 718–760, 1992. View at Publisher · View at Google Scholar
  24. A. N. Tawfik, “Equilibrium statistical-thermal models in high-energy physics,” International Journal of Modern Physics A, vol. 29, no. 17, Article ID 1430021, 2014. View at Publisher · View at Google Scholar · View at MathSciNet
  25. M. Tanabashi, K. Hagiwara, K. Hikasa et al., “Review of particle physics,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 98, Article ID 030001, 2018. View at Google Scholar
  26. R. Hagedorn, “Statistical thermodynamics of strong interactions at high energies,” Nuovo Cimento Supplemento, vol. 3, pp. 147–186, 1965. View at Google Scholar
  27. R. Hagedorn, “Large-angle cross-section p+pA+B and π+pA+B at high energies predicted by the statistical model,” Nuovo Cimento Supplemento, vol. 35, pp. 216–226, 1965. View at Google Scholar
  28. A. Majumder and B. Müller, “Hadron mass spectrum from lattice QCD,” Physical Review Letters, vol. 105, Article ID 252002, p. 25, 2002. View at Google Scholar
  29. A. Tawfik, “Constant-trace anomaly as a universal condition for the chemical freeze-out,” Physical Review C, vol. 88, Article ID 035203, 2013. View at Google Scholar
  30. M. Floris, “Hadron yields and the phase diagram of strongly interacting matter,” Nuclear Physics A, vol. 931, pp. 103–112, 2014. View at Google Scholar
  31. D. H. Rischke, M. I. Gorenstein, H. Stöcker, and W. Greiner, “Excluded volume effect for the nuclear matter equation of state,” Zeitschrift für Physik C Particles and Fields, vol. 51, no. 3, pp. 485–489, 1991. View at Google Scholar
  32. J. Cleymans, M. I. Gorenstein, J. Stalnacke, and E. Suhonen, “The hadronisation of a quark-gluon plasma,” Zeitschrift für Physik C Particles and Fields, vol. 58, no. 2, pp. 347–355, 1993. View at Google Scholar
  33. G. D. Yen, M. I. Gorenstein, W. Greiner, and S. N. Yang, “Excluded volume hadron gas model for particle number ratios in A + A collisions,” Physical Review C: Nuclear Physics, vol. 56, no. 4, pp. 2210–2218, 1997. View at Publisher · View at Google Scholar
  34. M. I. Gorenstein, M. Gaździcki, and W. Greiner, “Critical line of the deconfinement phase transitions,” Physical Review C: Nuclear Physics, vol. 72, no. 2, Article ID 024909, 2005. View at Publisher · View at Google Scholar
  35. M. I. Gorenstein, M. Hauer, and D. O. Nikolajenko, “Particle number fluctuations in nuclear collisions within an excluded volume hadron gas model,” Physical Review C: Nuclear Physics, vol. 76, no. 2, Article ID 024901, 2007. View at Publisher · View at Google Scholar
  36. M. I. Gorenstein, M. Hauer, and O. N. Moroz, “Viscosity in the excluded volume hadron gas model,” Physical Review C: Nuclear Physics, vol. 77, no. 2, Article ID 024911, 2008. View at Publisher · View at Google Scholar
  37. V. Vovchenko, M. I. Gorenstein, and H. Stoecker, “Modeling baryonic interactions with the Clausius-type equation of state,” The European Physical Journal A, vol. 54, p. 16, 2018. View at Publisher · View at Google Scholar
  38. V. Vovchenko, M. I. Gorenstein, and H. Stoecker, “van der Waals interactions in hadron resonance gas: from nuclear matter to lattice QCD,” Physical Review Letters, vol. 118, no. 18, Article ID 182301, 2017. View at Publisher · View at Google Scholar
  39. J. I. Kapusta, Finite-Temperature Field Theory, Cambridge Monographs on Mathematical Physics, Cambridge University Press, Cambridge, UK, 1989. View at MathSciNet
  40. B. Abelev, J. Adam, D. Adamová et al., “Production of charged pions, kaons and protons at large transverse momenta in pp and Pb–Pb collisions at √sNN=2.76 TeV,” Physics Letters B, vol. 736, pp. 196–207, 2014. View at Google Scholar
  41. B. Abelev, J. Adam, D. Adamová et al., “Centrality dependence of π, K, and p production in Pb-Pb collisions at √sNN = 2.76 TeV,” Physical Review C, vol. 88, Article ID 044910, 2013. View at Google Scholar
  42. V. V. Flambaum and E. V. Shuryak, “Dependence of hadronic properties on quark masses and constraints on their cosmological variation,” Physical Review D, vol. 67, Article ID 083507, 2003. View at Google Scholar
  43. M. D. Azmi and J. Cleymans, “Transverse momentum distributions in proton-proton collisions at LHC energies and Tsallis thermodynamics,” Journal of Physics G: Nuclear and Particle Physics, vol. 41, no. 6, Article ID 065001, 2014. View at Publisher · View at Google Scholar