Skip to main content

Advertisement

Log in

Heavy-ion collisions: Direct and indirect probes of the density and temperature dependence of Esym

  • Regular Article - Experimental Physics
  • Published:
The European Physical Journal A Aims and scope Submit manuscript

Abstract.

Heavy-ion collisions provide a versatile terrestrial probe of the nuclear equation of state through the formation of nuclear matter at a wide variety of temperatures, densities, and pressures. Direct and indirect approaches for constraining the density dependence of the symmetry energy using heavy-ion collisions have been developed. The direct approach relies on scaling methods which attempt to connect isotopic fragment distributions to the symmetry energy. Using the indirect approach constraints on the equation of state are extracted from comparison of experimental results and theoretical transport calculations which utilize effective nucleon-nucleon interactions. Besides exploring the density dependence of the equation of state, heavy-ion collisions are simultaneously probing different temperature gradients of nuclear matter allowing for the temperature dependence of the symmetry energy to be examined. The current progress and open questions related to constraining the density and temperature dependence of the symmetry energy with heavy-ion collisions are discussed in this paper.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. B.A. Li, U. Schroder (Editors), Isospin Physics in Heavy-Ion Collisions at Intermediate Energies (NOVA Science, 2001)

  2. C. Fuchs, H.H. Wolter, Eur. Phys. J. A. 30, 5 (2006)

    ADS  Google Scholar 

  3. M.B. Tsang et al., Phys. Rev. C 86, 015803 (2012)

    ADS  Google Scholar 

  4. B.A. Li, L.W. Chen, C.M. Ko, Phys. Rep. 464, 113 (2008)

    ADS  Google Scholar 

  5. A.W. Steiner, M. Prakash, J.M. Lattimer, P.J. Ellis, Phys. Rep. 411, 325 (2005)

    ADS  Google Scholar 

  6. J.M. Lattimer, M. Prakash, Science 304, 536 (2004)

    ADS  Google Scholar 

  7. L.W. Chen, C.M. Ko, B.A. Li, Phys. Rev. C 72, 64309 (2005)

    ADS  Google Scholar 

  8. B.A. Li, Nucl. Phys. A 708, 365 (2002)

    ADS  Google Scholar 

  9. T. Klahn, Phys. Rev. C 74, 35802 (2006)

    ADS  Google Scholar 

  10. P.G. Krastev, B.A. Li, Phys. Rev. C 76, 55804 (2007)

    ADS  Google Scholar 

  11. R.J. Furnstahl, Nucl. Phys. A 706, 85 (2002)

    ADS  Google Scholar 

  12. C. Ducoin et al., Phys. Rev. C 83, 045810 (2011)

    ADS  Google Scholar 

  13. X. Roca-Maza, J. Piekarewicz, Phys. Rev. C 78, 025807 (2008)

    ADS  Google Scholar 

  14. J.M. Lattimer, Annu. Rev. Nucl. Part. Sci. 62, 485 (2012)

    ADS  Google Scholar 

  15. A.W. Steiner, S. Gandolfi, Phys. Rev. Lett. 108, 081102 (2012)

    ADS  Google Scholar 

  16. J. Pochodzalla et al., Phys. Rev. Lett. 75, 1040 (1995)

    ADS  Google Scholar 

  17. J.B. Natowitz et al., Phys. Rev. C 65, 034618 (2002)

    ADS  Google Scholar 

  18. B. Borderie, M.F. Rivet, Prog. Part. Nucl. Phys. 61, 551 (2008)

    ADS  Google Scholar 

  19. P.J. Siemens, Nature 305, 410 (1983)

    ADS  Google Scholar 

  20. J.B. Elliot et al., Phys. Rev. Lett. 88, 042701 (2002)

    ADS  Google Scholar 

  21. T. Li et al., Phys. Rev. Lett. 99, 162503 (2007)

    ADS  Google Scholar 

  22. L. Trippa, G. Colo, E. Vigezzi, Phys. Rev. C 77, 061304(R) (2008)

    ADS  Google Scholar 

  23. J. Piekarewicz, Phys. Rev. C 66, 034305 (2002)

    ADS  Google Scholar 

  24. A. Carbone et al., Phys. Rev. C 81, 041301 (2010)

    ADS  Google Scholar 

  25. L.W. Chen et al., Phys. Rev. C 82, 024321 (2010)

    ADS  Google Scholar 

  26. S. Abrahamyan et al., Phys. Rev. Lett. 108, 12502 (2012)

    Google Scholar 

  27. P. Moller et al., Phys. Rev. Lett. 108, 052501 (2012)

    ADS  Google Scholar 

  28. P. Danielewicz, J. Lee, Nucl. Phys. A 818, 36 (2009)

    ADS  Google Scholar 

  29. D.V. Shetty, S.J. Yennello, G.A. Souliotis, Phys. Rev. C 76, 024606 (2007)

    ADS  Google Scholar 

  30. Z. Kohley et al., Phys. Rev. C 82, 064601 (2010)

    ADS  Google Scholar 

  31. V. Baran, M. Colonna, V. Greco, M. Di Toro, Phys. Rep. 410, 335 (2005)

    ADS  Google Scholar 

  32. M.B. Tsang et al., Phys. Rev. Lett. 86, 5023 (2001)

    ADS  Google Scholar 

  33. J.B. Natowitz et al., Phys. Rev. Lett. 104, 202501 (2010)

    ADS  Google Scholar 

  34. S. Kowalski et al., Phys. Rev. C 75, 014601 (2007)

    ADS  Google Scholar 

  35. V. Baran et al., Nucl. Phys. A 703, 603 (2002)

    ADS  Google Scholar 

  36. A. Ono, Prog. Theor. Phys. Suppl. 146, 378 (2002)

    ADS  Google Scholar 

  37. M. Papa, G. Giuliani, A. Bonasera, J. Comput. Phys. 208, 403 (2005)

    MATH  ADS  Google Scholar 

  38. B.A. Brown, Phys. Rev. Lett. 85, 5296 (2000)

    ADS  Google Scholar 

  39. A. Ono, J. Randrup, Eur. Phys. J. A 30, 109 (2006)

    ADS  Google Scholar 

  40. V.E. Viola, K. Kwiatkowski, J.B. Natowitz, S.J. Yennello, Phys. Rev. Lett. 93, 132701 (2004)

    ADS  Google Scholar 

  41. A.R. Raduta et al., Phys. Lett. B 623, 43 (2005)

    MathSciNet  ADS  Google Scholar 

  42. S. Wuenschel et al., Nucl. Phys. A 843, 1 (2010)

    ADS  Google Scholar 

  43. S. Albergo et al., Nuovo Cimento A 89, 1 (1985)

    ADS  Google Scholar 

  44. R. Wada et al., Phys. Rev. C 39, 497 (1989)

    ADS  Google Scholar 

  45. A.S. Hirsch et al., Phys. Rev. C 29, 508 (1984)

    ADS  Google Scholar 

  46. V.E. Viola, R. Bougault, Eur. Phys. J. A 30, 215 (2006)

    ADS  Google Scholar 

  47. M.B. Tsang et al., Phys. Rev. C 64, 054615 (2001)

    ADS  Google Scholar 

  48. M. Colonna, M.B. Tsang, Eur. Phys. J. A 30, 165 (2006)

    ADS  Google Scholar 

  49. A. Ono, P. Danielewicz, W.A. Friedman, W.G. Lynch, M.B. Tsang, Phys. Rev. C 68, 051601(R) (2003)

    ADS  Google Scholar 

  50. A. Ono, P. Danielewicz, W.A. Friedman, W.G. Lynch, M.B. Tsang, Phys. Rev. C 70, 041604(R) (2004)

    ADS  Google Scholar 

  51. H.S. Xu et al., Phys. Rev. Lett. 85, 716 (2000)

    ADS  Google Scholar 

  52. A.S. Botvina, O.V. Lozhkin, W. Trautmann, Phys. Rev. C 65, 044610 (2002)

    ADS  Google Scholar 

  53. G. Lehaut, F. Gulminelli, O. Lopez, Phys. Rev. Lett. 102, 142503 (2009)

    ADS  Google Scholar 

  54. J. Xu, L.W. Chen, B.A. Li, H.R. Ma, Phys. Rev. C 75, 014607 (2007)

    ADS  Google Scholar 

  55. R. Wada et al., Phys. Rev. C 85, 064618 (2012)

    ADS  Google Scholar 

  56. A.L. Fevre et al., Phys. Rev. Lett. 94, 162701 (2005)

    ADS  Google Scholar 

  57. D.V. Shetty et al., J. Phys. G: Nucl. Part. Phys. 36, 075103 (2009)

    MathSciNet  ADS  Google Scholar 

  58. S.K. Samaddar, J.N. De, X. Vinas, M. Centelles, Phys. Rev. C 76, 041602(R) (2007)

    ADS  Google Scholar 

  59. B.A. Li, L.W. Chen, Phys. Rev. C 74, 034610 (2006)

    ADS  Google Scholar 

  60. D.J. Dean, K. Langanke, J.M. Sampaio, Phys. Rev. C 66, 045802 (2002)

    ADS  Google Scholar 

  61. J.N. De, S.K. Samaddar, Phys. Rev. C 85, 024310 (2012)

    ADS  Google Scholar 

  62. F.L. Braghin, Phys. Rev. C 80, 014307 (2009)

    ADS  Google Scholar 

  63. J.N. De, S.K. Samaddar, B.K. Agrawal, Phys. Lett. B 716, 361 (2012)

    ADS  Google Scholar 

  64. B. Behera, T.R. Routay, S.K. Tripathy, J. Phys. G: Nucl. Part. Phys. 36, 125105 (2009)

    ADS  Google Scholar 

  65. H.-T. Janka, K. Langanke, A. Marek, G. Martinez-Pindeo, B. Muller, Phys. Rep. 442, 38 (2007)

    ADS  Google Scholar 

  66. L. Qin et al., Phys. Rev. Lett. 108, 172701 (2012)

    ADS  Google Scholar 

  67. G. Ropke et al., Phys. Rev. C 88, 024609 (2013)

    ADS  Google Scholar 

  68. S. Wuenschel et al., Phys. Rev. C 79, 061602 (2009)

    ADS  Google Scholar 

  69. S. Galanopoulos et al., Nucl. Phys. A 837, 145 (2010)

    ADS  Google Scholar 

  70. R. Tripathi et al., Phys. Rev. C 83, 054609 (2011)

    ADS  Google Scholar 

  71. P. Marini et al., Phys. Rev. C 85, 034617 (2012)

    ADS  Google Scholar 

  72. M. Huang et al., Nucl. Phys. A 847, 233 (2010)

    ADS  Google Scholar 

  73. M. Huang et al., Phys. Rev. C 81, 044620 (2010)

    ADS  Google Scholar 

  74. P. Marini et al., Phys. Rev. C 87, 024603 (2013)

    ADS  Google Scholar 

  75. S. Mallik, G. Chaudhuri, Phys. Rev. C 87, 011602(R) (2013)

    ADS  Google Scholar 

  76. P. Zhou et al., Phys. Rev. C 84, 037605 (2011)

    ADS  Google Scholar 

  77. A.R. Raduta, Eur. Phys. J. A 24, 85 (2005)

    Google Scholar 

  78. W.D. Tian et al., Int. J. Mod. Phys. 17, 1705 (2008)

    ADS  Google Scholar 

  79. R. Ogul et al., Phys. Rev. C 83, 025608 (2011)

    Google Scholar 

  80. G.A. Souliotis et al., Phys. Rev. C 73, 024606 (2006)

    ADS  Google Scholar 

  81. G.A. Souliotis et al., Phys. Rev. C 75, 011601(R) (2007)

    ADS  Google Scholar 

  82. M. Veselsky, G.A. Souliotis, S.J. Yennello, Phys. Rev. C 69, 031602(R) (2004)

    ADS  Google Scholar 

  83. D. Henzlova et al., J. Phys. G: Nucl. Part. Phys. 37, 085010 (2010)

    ADS  Google Scholar 

  84. S. Wuenschel, Temperature and Scaling Studies from Projectile Fragmentation of 86,78Kr+64,58Ni at 35 meV, PhD thesis, Texas A&M University (2009)

  85. W. Reisdorf, H.G. Ritter, Annu. Rev. Nucl. Part. Sci. 47, 663 (1997)

    ADS  Google Scholar 

  86. N. Herrmann, J.P. Wessles, T. Wienold, Annu. Rev. Nucl. Part. Sci. 49, 581 (1999)

    ADS  Google Scholar 

  87. C.A. Ogilvie et al., Phys. Rev. C 42, 10(R) (1990)

    ADS  Google Scholar 

  88. D. Cussol et al., Phys. Rev. C 65, 44604 (2002)

    ADS  Google Scholar 

  89. D. Krofcheck et al., Phys. Rev. C 46, 1416 (1992)

    ADS  Google Scholar 

  90. D.J. Magestro et al., Phys. Rev. C 61, 21602 (2000)

    ADS  Google Scholar 

  91. G.D. Westfall et al., Phys. Rev. Lett. 71, 1986 (1993)

    ADS  Google Scholar 

  92. B.A. Li, C.M. Ko, W. Bauer, Int. J. Mod. Phys. E 7, 147 (1998)

    ADS  Google Scholar 

  93. D.J. Magestro, W. Bauer, G.D. Westfall, Phys. Rev. C 62, 041603(R) (2000)

    ADS  Google Scholar 

  94. M. Di Toro, S.J. Yennello, B.A. Li, Eur. Phys. J. A 30, 153 (2006)

    ADS  Google Scholar 

  95. R. Pak et al., Phys. Rev. Lett. 78, 1022 (1997)

    ADS  Google Scholar 

  96. R. Pak et al., Phys. Rev. Lett. 78, 1026 (1997)

    ADS  Google Scholar 

  97. L. Scalone, M. Colonna, M. Di Toro, Phys. Lett. B 461, 9 (1999)

    ADS  Google Scholar 

  98. P. Danielewicz, R. Lacey, W.G. Lynch, Science 298, 1592 (2002)

    ADS  Google Scholar 

  99. S.D. Gupta, G.D. Westfall, Phys. Today 46, 34 (1993)

    Google Scholar 

  100. P. Russotto et al., Phys. Lett. B 697, 471 (2011)

    ADS  Google Scholar 

  101. A. Ono, H. Horiuchi, Prog. Part. Nucl. Phys. 53, 501 (2004)

    ADS  Google Scholar 

  102. A. Ono, Prog. Theor. Phys. Supp. 146, 378 (2002)

    ADS  Google Scholar 

  103. Z. Kohley et al., Phys. Rev. C 83, 044601 (2011)

    ADS  Google Scholar 

  104. J. Rizzo, M. Colonna, M. Di Toro, V. Greco, Nucl. Phys. A 732, 202 (2004)

    ADS  Google Scholar 

  105. V. Giordano, M. Colonna, M. Di Toro, V. Greco, J. Rizzo, Phys. Rev. C 81, 044611 (2010)

    ADS  Google Scholar 

  106. F. Amorini et al., Phys. Rev. Lett. 102, 112701 (2009)

    ADS  Google Scholar 

  107. G. Cardella et al., Phys. Rev. C 85, 064609 (2012)

    ADS  Google Scholar 

  108. M.B. Tsang et al., Phys. Rev. Lett. 92, 062701 (2004)

    ADS  Google Scholar 

  109. D.V. Shetty et al., Phys. Rev. C 70, 011601(R) (2004)

    ADS  Google Scholar 

  110. D.V. Shetty, S.J. Yennello, G.A. Souliotis, Phys. Rev. C 75, 034602 (2007)

    ADS  Google Scholar 

  111. L.W. Chen, C.M. Ko, B.A. Li, Phys. Rev. Lett. 94, 032701 (2005)

    ADS  Google Scholar 

  112. A.W. Steiner, B.A. Li, Phys. Rev. C 72, 041601(R) (2005)

    ADS  Google Scholar 

  113. B.A. Li, L.W. Chen, Phys. Rev. C 72, 064611 (2005)

    ADS  Google Scholar 

  114. V. Baran, M. Colonna, M.D. Toro, M. Zielinska-Pfabe, H.H. Wolter, Phys. Rev. C 72, 064620 (2005)

    ADS  Google Scholar 

  115. M.B. Tsang et al., Phys. Rev. Lett. 102, 122701 (2009)

    ADS  Google Scholar 

  116. M.A. Famiano et al., Phys. Rev. Lett. 97, 052701 (2006)

    ADS  Google Scholar 

  117. Y. Zhang et al., Phys. Lett. B 664, 145 (2008)

    ADS  Google Scholar 

  118. E.D. Filippo et al., Phys. Rev. C 86, 014610 (2012)

    ADS  Google Scholar 

  119. M. Di Toro, A. Olmi, R. Roy, Eur. Phys. J. A 30, 65 (2006)

    ADS  Google Scholar 

  120. L.W. Chen, C.M. Ko, B.A. Li, Nucl. Phys. A 729, 809 (2003)

    ADS  Google Scholar 

  121. G.C. Yong, B.A. Li, L.W. Chen, X.C. Zhang, Phys. Rev. C 80, 44608 (2009)

    ADS  Google Scholar 

  122. Z. Xiao, B.A. Li, L.W. Chen, G.C. Yong, M. Zhang, Phys. Rev. Lett. 102, 062502 (2009)

    ADS  Google Scholar 

  123. W.J. Xie, J. Su, L. Zhu, F.S. Zhang, Phys. Lett. B 718, 1510 (2013)

    ADS  Google Scholar 

  124. Z.Q. Feng, G.M. Jin, Phys. Lett. B 683, 140 (2010)

    ADS  Google Scholar 

  125. Y. Gao, L. Zhang, W. Zuo, J.Q. Li, Phys. Rev. C 86, 034611 (2012)

    ADS  Google Scholar 

  126. J. Xu, L.W. Chen, C.M. Ko, B.A. Li, Y.G. Ma, Phys. Rev. C 87, 067601 (2013)

    ADS  Google Scholar 

  127. J. Hong, P. Danielewicz, arXiv:1307.7654 [nucl-th] (2013)

  128. Z. Kohley et al., Phys. Rev. C 88, 041601(R) (2013)

    ADS  Google Scholar 

  129. J. Rizzo, M. Colonna, A. Ono, Phys. Rev. C 76, 024611 (2007)

    ADS  Google Scholar 

  130. M. Colonna, A. Ono, J. Rizzo, Phys. Rev. C 82, 054613 (2010)

    ADS  Google Scholar 

  131. Z. Kohley et al., Phys. Rev. C 85, 064605 (2012)

    ADS  Google Scholar 

  132. Y. Zhang et al., Phys. Rev. C 85, 024602 (2012)

    ADS  Google Scholar 

  133. D.D.S. Coupland, W.G. Lynch, M.B. Tsang, P. Danielewicz, Y. Zhang, Phys. Rev. C 84, 054603 (2011)

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Z. Kohley.

Additional information

Communicated by A. Ramos

Contribution to the Topical Issue “Nuclear Symmetry Energy” edited by Bao-An Li, Àngels Ramos, Giuseppe Verde, Isaac Vidaña.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kohley, Z., Yennello, S.J. Heavy-ion collisions: Direct and indirect probes of the density and temperature dependence of Esym . Eur. Phys. J. A 50, 31 (2014). https://doi.org/10.1140/epja/i2014-14031-0

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epja/i2014-14031-0

Keywords

Navigation