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Hadron production and phase changes in relativistic heavy-ion collisions

  • Regular Article - Theoretical Physics
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Abstract.

We study soft hadron production in relativistic heavy-ion collisions in a wide range of reaction energy, 4.8 GeV < \( \sqrt{{s_{{\rm NN}}}}\) < 200 GeV, and make predictions about yields of particles using the statistical hadronization model. In fits to experimental data, we obtain both the statistical parameters as well as physical properties of the hadron source. We identify the properties of the fireball at the critical energy threshold, 6.26 GeV < \( \sqrt{{s_{{\rm NN}}^{{\rm cr}}}}\) < 7.61 GeV, marking for higher energies the hadronization of an entropy-rich phase. In terms of the chemical composition, one sees a phase which at low energy is chemically under-saturated, and which turns into a chemically over-saturated state persisting up to the maximum accessible energy. Assuming that there is no change in physical mechanisms in the energy range 15 > \( \sqrt{{s_{{\rm NN}}}}\)≥200 GeV, we use continuity of particle yields and statistical parameters to predict the hadron production at \( \sqrt{{s_{{\rm NN}}}}\) = 62.4 GeV, and obtain total yields of hadrons at \( \sqrt{{s_{{\rm NN}}}}\) = 130 GeV. We consider, in depth, the pattern we uncover within the hadronization condition, and discuss possible mechanisms associated with the identified rapid change in system properties at \( \sqrt{{s_{{\rm NN}}^{{\rm cr}}}}\) . We propose that the chemically over-saturated 2 + 1 flavor hadron matter system undergoes a 1st-order phase transition.

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References

  1. For theoretical evaluation, see Nucl. Phys. A 750, Issue 1, pp. 1-171 (March 2005)

  2. NA49 Collaboration (M. Gaździcki), J. Phys. G 30, S701 (2004).

  3. J. Rafelski, J. Letessier, G. Torrieri, Phys. Rev. C 72, 024905 (2005) arXiv:nucl-th/0412072.

    Article  ADS  Google Scholar 

  4. J. Letessier, J. Rafelski, Phys. Rev. C 59, 947 (1999).

    Article  ADS  Google Scholar 

  5. J. Kapusta, B. Muller, J. Rafelski, Quark-gluon plasma: Theoretical foundations, an annotated reprint collection, (Elsevier, Amsterdam, 2003) and references therein.

  6. J. Rafelski, B. Müller, Phys. Rev. Lett. 48, 1066 (1982)

    Article  ADS  Google Scholar 

  7. N.K. Glendenning, J. Rafelski, Phys. Rev. C 31, 823 (1985)

    Article  ADS  Google Scholar 

  8. J. Letessier, A. Tounsi, U. Heinz, J. Sollfrank, J. Rafelski, Phys. Rev. Lett. 70, 3530 (1993)

    Article  ADS  Google Scholar 

  9. P. Koch, B. Muller, J. Rafelski, Phys. Rep. 142, 167 (1986).

    Article  ADS  Google Scholar 

  10. P. Koch, J. Rafelski, Nucl. Phys. A 444, 678 (1985).

    Article  ADS  Google Scholar 

  11. J. Rafelski, M. Danos, Perspectives In High-Energy Nuclear Collisions, NBSIR-83-2725 and GSI-83-6, see sect. 5, KEK scan available at http://ccdb3fs.kek.jp/ cgi-bin/img\_index?200031578

  12. M. Kitazawa, T. Koide, T. Kunihiro, Y. Nemoto, Phys. Rev. D 65, 091504(R) (2002).

    Article  ADS  Google Scholar 

  13. M. Gaździcki, Acta Phys. Pol. B 34, 5771 (2003)

    ADS  Google Scholar 

  14. G. Torrieri, W. Broniowski, W. Florkowski, J. Letessier, J. Rafelski, Comput. Phys. Commun. 167, 229 (2005) and references therein

    Article  ADS  Google Scholar 

  15. G. Torrieri, J. Rafelski, J. Phys. G 30, S557 (2004).

  16. J. Letessier, J. Rafelski, Int. J. Mod. Phys. E 9, 107 (2000).

    ADS  Google Scholar 

  17. P. Koch, J. Rafelski, W. Greiner, Phys. Lett. B 123, 151 (1983).

    Article  ADS  Google Scholar 

  18. BRAHMS Collaboration (I.G. Bearden), Phys. Rev. Lett. 90, 102301 (2003).

    Article  ADS  Google Scholar 

  19. F. Becattini, J. Cleymans, A. Keranen, E. Suhonen, K. Redlich, Phys. Rev. C 64, 024901 (2001).

    Article  ADS  Google Scholar 

  20. NA49 Collaboration (V. Friese), Nucl. Phys. A 698, 487 (2002).

    Article  ADS  Google Scholar 

  21. J. Rafelski, J. Letessier, G. Torrieri, Phys. Rev. C 64, 054907 (2001)

    Article  ADS  Google Scholar 

  22. J.I. Kapusta, S.M.H. Wong, Phys. Rev. Lett. 86, 4251 (2001).

    Article  ADS  Google Scholar 

  23. J. Letessier, J. Rafelski, G. Torrieri, Deconfinement energy threshold: Analysis of hadron yields at 11.6-A-GeV, arXiv:nucl-th/0411047.

  24. The results of the NA49 experiment used here have been proved upon our request by M. Gazdzicki and B. Lungwitz (private communication, compilation of September 2006), whose documentation includes the explanation of the treatment of weak decays. Among the sources of these results, we note, in particular, the follwoing works Gaz,Friese:2002re,Blume:2004ci,Friese03,[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12],[13],[14],[15],[16],[17],[18],[19],[20],[21],[22],[23],[24],[25],[26]. The abstraction of these 28 works with in part not entirely consistent result tables (due to varying WD corrections, and some time dependence of preliminary results) into a 11 page table set appears to us to be solely possible by these key members of the NA49 Collaboration. We thank Drs. M. Gazdzicki and B. Lungwitz, for their kind help.

  25. NA49 Collaboration (C. Blume), J. Phys. G 31, S685 (2005).

  26. The NA49 Collaboration (V. Friese), J. Phys. G 30, S119 (2004).

  27. C. Alt, Phys. Rev. C 73, 044910 (2006).

    Article  ADS  Google Scholar 

  28. NA49 Collaboration (A. Richard), J. Phys. G 31, S155 (2005).

  29. NA49 Collaboration (C. Blume), J. Phys. G 31, S685 (2005).

  30. The NA49 Collaboration (C. Alt), J. Phys. G 30, S119 (2004).

  31. NA49 Collaboration (P. Dinkelaker), J. Phys. G 31, S1131 (2005).

  32. The NA49 Collaboration (S.V. Afanasiev), Phys. Rev. C 66, 054902 (2002).

    Article  ADS  Google Scholar 

  33. T. Anticic, Phys. Rev. C 69, 024902 (2004).

    Article  ADS  Google Scholar 

  34. S.V. Afanasiev, Nucl. Phys. A 715, 161 (2003).

    Article  ADS  Google Scholar 

  35. NA49 Collaboration (T. Anticic), Phys. Rev. Lett. 93, 022302 (2004).

    Article  ADS  Google Scholar 

  36. NA49 Collaboration (C. Meurer), J. Phys. G 30, S1325 (2004).

  37. NA49 Collaboration (M. Mitrovski), Acta Phys. Hung. A 24, 157 (2005).

    Article  Google Scholar 

  38. NA49 Collaboration (C. Alt), Phys. Rev. Lett. 94, 192301 (2005).

    Article  ADS  Google Scholar 

  39. NA49 Collaboration (J. Bachler), Nucl. Phys. A 661, 45 (1999).

    Article  ADS  Google Scholar 

  40. NA49 Collaboration (C. Alt), Eur. Phys. J. C 45, 343 (2006).

    Article  ADS  Google Scholar 

  41. NA49 Collaboration (S.V. Afanasev), J. Phys. G 27, 367 (2001).

    Article  MathSciNet  Google Scholar 

  42. NA49 Collaboration (S.V. Afanasev), Phys. Lett. B 491, 59 (2000).

    Article  ADS  Google Scholar 

  43. NA49 Collaboration (C. Alt), Pion and kaon production in central Pb+Pb collisions at 20A and 30AGeV: Evidence for the onset of deconfinement, arXiv:0710.0118 [nucl-ex].

  44. NA49 Collaboration (T. Susa), Nucl. Phys. A 698, 491 (2002).

    Article  ADS  Google Scholar 

  45. NA49 Collaboration (C. Alt), Phys. Rev. Lett. 94, 052301 (2005).

    Article  ADS  Google Scholar 

  46. NA49 Collaboration (I. Kraus), J. Phys. G 31, S147 (2005).

  47. A. Mischke, Nucl. Phys. A 715, 453 (2003).

    Article  ADS  Google Scholar 

  48. NA49 Collaboration (G.I. Veres), Nucl. Phys. A 661, 383 (1999).

    Article  ADS  Google Scholar 

  49. NA49 Collaboration (V. Friese), Nucl. Phys. A 698, 487 (2002).

    Article  ADS  Google Scholar 

  50. NA49 Collaboration (S.V. Afanasiev), Phys. Lett. B 538, 275 (2002).

    Article  ADS  Google Scholar 

  51. M. Mitrovski, J. Phys. G 32, S43 (2006).

  52. J. Rafelski, J. Letessier, Acta Phys. Pol. B 34, 5791 (2003)

    ADS  Google Scholar 

  53. E917 Collaboration (B.B. Back), Phys. Rev. C 69, 054901 (2004).

    Article  ADS  Google Scholar 

  54. J. Cleymans, H. Oeschler, K. Redlich, S. Wheaton, Phys. Lett. B 615, 50 (2005).

    Article  ADS  Google Scholar 

  55. J. Cleymans, K. Redlich, Phys. Rev. C 60, 054908 (1999).

    Article  ADS  Google Scholar 

  56. PHENIX Collaboration (K. Adcox), Phys. Rev. C 69, 024904 (2004).

    Article  ADS  Google Scholar 

  57. STAR Collaboration (C. Adler), Phys. Rev. Lett. 89, 092301 (2002).

    Article  ADS  Google Scholar 

  58. PHENIX Collaboration (K. Adcox), Phys. Rev. Lett. 89, 092302 (2002).

    Article  ADS  Google Scholar 

  59. STAR Collaboration (J. Adams), Phys. Rev. Lett. 92, 182301 (2004).

    Article  ADS  Google Scholar 

  60. STAR Collaboration (C. Adler), Phys. Rev. C 66, 061901 (2002).

    Article  ADS  Google Scholar 

  61. C. Adler, Phys. Rev. C 65, 041901 (2002).

    Article  ADS  Google Scholar 

  62. PHENIX Collaboration (S.S. Adler), Phys. Rev. C 69, 034909 (2004).

    Article  ADS  Google Scholar 

  63. STAR Collaboration (H.B. Zhang), Delta, $K^{\ast}$ and rho resonance production and their probing of freeze-out dynamics at RHIC, arXiv:nucl-ex/0403010

  64. STAR Collaboration (C. Markert), J. Phys. G 30, S1313 (2004).

  65. STAR Collaboration (J. Adams), Phys. Lett. B 612, 181 (2005).

    Article  ADS  Google Scholar 

  66. NA57 Collaboration (D. Elia), J. Phys. G 31, S135 (2005).

  67. BRAHMS Collaboration (I.G. Bearden), Phys. Rev. Lett. 94, 162301 (2005).

    Article  ADS  Google Scholar 

  68. B.B. Back, Phys. Rev. Lett. 91, 052303 (2003).

    Article  ADS  Google Scholar 

  69. BRAHMS Collaboration (I.G. Bearden), Phys. Rev. Lett. 93, 102301 (2004).

    Article  ADS  Google Scholar 

  70. J. Rafelski, Phys. Rep. 88, 331 (1982).

    Google Scholar 

  71. NA57 Collaboration (G.E. Bruno), J. Phys. G 30, S717 (2004).

  72. NA49 Collaboration (C. Alt), Phys. Rev. Lett. 92, 042003 (2004).

    Article  ADS  Google Scholar 

  73. A.R. Dzierba, D. Krop, M. Swat, S. Teige, A.P. Szczepaniak, Phys. Rev. D 69, 051901 (2004) [arXiv:hep-ph/0311125].

    Article  ADS  Google Scholar 

  74. J. Letessier, G. Torrieri, S. Steinke, J. Rafelski, Phys. Rev. C 68, 061901(R) (2003).

    Article  ADS  Google Scholar 

  75. Y. Aoki, G. Endrodi, Z. Fodor, S.D. Katz, K.K. Szabo, Nature 443, 675 (2006) [arXiv:hep-lat/0611014].

    Article  ADS  Google Scholar 

  76. Y. Aoki, Z. Fodor, S.D. Katz, K.K. Szabo, Phys. Lett. B 643, 46 (2006) [arXiv:hep-lat/0609068].

    Article  ADS  Google Scholar 

  77. Z. Fodor, S.D. Katz, JHEP 0404, 050 (2004) and references therein.

    Article  ADS  Google Scholar 

  78. C.R. Allton, Phys. Rev. D 66, 074507 (2002).

    Article  ADS  Google Scholar 

  79. I. Kuznetsova, J. Rafelski, Eur. Phys. J. C 51, 113 (2007) [arXiv:hep-ph/0607203].

    Article  ADS  MathSciNet  Google Scholar 

  80. J. Rafelski, M. Danos, Phys. Lett. B 97, 279 (1980).

    Article  ADS  Google Scholar 

  81. J. Rafelski, J. Letessier, J. Phys. G 28, 1819 (2002).

    Article  ADS  Google Scholar 

  82. J. Letessier, A. Tounsi, J. Rafelski, Phys. Lett. B 389, 586 (1996).

    Article  ADS  Google Scholar 

  83. J. Rafelski, J. Letessier, Phys. Lett. B 469, 12 (1999).

    Article  ADS  Google Scholar 

  84. J. Letessier, J. Rafelski, Phys. Rev. C 75, 014905 (2007) [arXiv:nucl-th/0602047].

    Article  ADS  Google Scholar 

  85. P. Braun-Munzinger, K. Redlich, J. Stachel, in Quark Gluon Plasma 3, edited by R.C. Hwa, Xin-Nian Wang (World Scientific Publishing, 2004) and references therein.

  86. M. Bleicher, J. Aichelin, Phys. Lett. B 530, 81 (2002).

    Article  ADS  Google Scholar 

  87. E.L. Bratkovskaya, Phys. Rev. C 69, 054907 (2004).

    Article  ADS  Google Scholar 

  88. C.R. Allton, M. Doring, S. Ejiri, S.J. Hands, O. Kaczmarek, F. Karsch, E. Laermann, K. Redlich, Phys. Rev. D 71, 054508 (2005).

    Article  ADS  Google Scholar 

  89. A. Peikert, F. Karsch, E. Laermann, B. Sturm, Nucl. Phys. Proc. Suppl. 73, 468 (1999).

    Article  MATH  ADS  Google Scholar 

  90. MILC Collaboration (C. Bernard), Phys. Rev. D 71, 034504 (2005).

    Article  ADS  Google Scholar 

  91. C.R. Allton, S. Ejiri, S.J. Hands, O. Kaczmarek, F. Karsch, E. Laermann, C. Schmidt, Phys. Rev. D 68, 014507 (2003).

    Article  ADS  Google Scholar 

  92. H.Z. Huang, J. Rafelski, AIP Conf. Proc. 756, 210 (2005).

    Article  ADS  Google Scholar 

  93. T. Csorgo, J. Zimanyi, Heavy Ion Phys. 17, 281 (2003).

    Article  Google Scholar 

  94. J. Rafelski, J. Letessier, Phys. Rev. Lett. 85, 4695 (2000).

    Article  ADS  Google Scholar 

  95. I.I. Roizen, E.L. Feinberg, O.D. Chernavskaya, Phys. Usp. 47, 427 (2004) [Usp. Fiz. Nauk 47, 427 (2004)].

    Article  Google Scholar 

  96. F. Becattini, M. Gazdzicki, A. Keranen, J. Manninen, R. Stock, Phys. Rev. C 69, 024905 (2004).

    Article  ADS  Google Scholar 

  97. E-0895 Collaboration (J.L. Klay), Phys. Rev. C 68, 054905 (2003).

    Article  ADS  Google Scholar 

  98. B. Pin-zhen, J. Rafelski, Eur. Phys. J. A 32, 267 (2007).

    Article  ADS  Google Scholar 

  99. G. Torrieri, J. Rafelski, Phys. Rev. C 75, 024902 (2007) [arXiv:nucl-th/0608061].

    Article  ADS  Google Scholar 

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Letessier, J., Rafelski, J. Hadron production and phase changes in relativistic heavy-ion collisions. Eur. Phys. J. A 35, 221–242 (2008). https://doi.org/10.1140/epja/i2007-10546-7

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