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Research Article Open access CC BY 3.0

The Equation of State for Non-ideal Quark Gluon Plasma

N. M. El Naggar, L. I. Abou Salem, A. G. Shalaby, M. A. Bourham

Physical Science International Journal · pp. 912–929 · Published 21 May 2014

10.9734/PSIJ/2014/10296

Abstract

The mass spectra of quarkonium systems at T= 0 are analyzed by solving the non-relativistic radial wave equation using the internal energy potential. The QGP matter is studied through the dissociations of quarkonium states. A modified form of the internal energy potential function is used to determine the EoS at different number of quark flavors by using Mayer's cluster expansion theory and phenomenological thermodynamic model. The thermodynamic model gives a good agreement with the lattice results rather than Mayer’s cluster expansion theory. One can conclude that, the Mayer’s cluster expansion theory may be more suitable to study a weakly coupled plasma while, the QGP may be considered as a strongly interacting plasma.  

QGP QCD properties Mayer cluster expansion

References (43)

  1. 1 J/ψ suppression by quark-gluon plasma formation [DOI]
  2. 2 Thermodynamics of SU(3) lattice gauge theory [DOI]
  3. 3 Quark mass and flavour dependence of the QCD phase transition [DOI]
  4. 4 Statistical mechanics of charged particles [DOI]
  5. 5 Fluctuations of conserved charges at finite temperature from lattice QCD [DOI]
  6. 6 Physics of strongly coupled quark–gluon plasma [DOI]
  7. 7 Quantum Statistics of Nonideal Plasmas [DOI]
  8. 8 Mesonic correlation functions at finite temperature and density in the Nambu–Jona-Lasinio model with a Polyakov loop [DOI]
  9. 9 Equation of state for physical quark masses [DOI]
  10. 10 Strongly coupled plasma with electric and magnetic charges [DOI]
  11. 11 Quarks and gluons at high temperatures and densities [DOI]
  12. 12 Toward a theory of binary bound states in the quark-gluon plasma [DOI]
  13. 13 Equation of State for the SU(3) Gauge Theory [DOI]
  14. 14 Statistical Plasma Physics [DOI]
  15. 15 Hadrons and Quark–Gluon Plasma [DOI]
  16. 16 Equation of state of hadron resonance gas and the phase diagram of strongly interacting matter [DOI]
  17. 17 QCD critical point in a quasiparticle model [DOI]
  18. 18 Comments on quasiparticle models of quark–gluon plasma [DOI]
  19. 19 Gauge field thermodynamics for the SU(2) Yang-Mills system [DOI]
  20. 20 Heavy quark bound states above Tc [DOI]
  21. 21 Heavy-quark free energy, Debye mass, and spatial string tension at finite temperature in two flavor lattice QCD with Wilson quark action [DOI]
  22. 22 New nonperturbative approach to the Debye mass in hot QCD [DOI]
  23. 23 Confinement–deconfinement phase transition in hot and dense QCD at large N [DOI]
  24. 24 Hybrid model for QCD deconfining phase boundary [DOI]
  25. 25 Equation of State of Classical Electron Gas [DOI]
  26. 26 Classical strongly coupled quark-gluon plasma. II. Screening and equation of state [DOI]
  27. 27 Equation of state for a non-ideal quark gluon plasma [DOI]
  28. 28 Heavy quarkonium spectra and J/Ψ dissociation in hot and dense matter [DOI]
  29. 29 Equation of state of a quark-gluon plasma using the Cornell potential [DOI]
  30. 30 A SYSTEMATIC STUDY ON NONRELATIVISTIC QUARK–ANTIQUARK INTERACTIONS [DOI]
  31. 31 Quantum Gravity effect on the Quark-Gluon Plasma [DOI]
  32. 32 Computational methods for matrix Eigenproblems
  33. 33 Computational Methods for Matrix Eigenproblems [DOI]
  34. 34 Computational Methods in Physics and Engineering [DOI]
  35. 35 Existence of mesons after deconfinement [DOI]
  36. 36 Computational Methods in Physics and Engineering [DOI]
  37. 37 16. 12. 05 Colour Deconfinement and Quarkonium Binding
  38. 38 Hadrons and quark - gluon plasma
  39. 39 Strongly Coupled Quark Gluon Plasma (SCQGP)
  40. 40 The Letter "s" (and the sQGP)
  41. 41 Mathematical formulas [DOI]
  42. 42 Heavy Flavor in the sQGP [DOI]
  43. 43 Is QGP really a liquid ? [DOI]

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