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Modelization of the EOS

  • Dynamics and Thermodynamics with Nuclear Degrees of Freedom
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Abstract.

This paper summarizes theoretical predictions for the density and isospin dependence of the nuclear mean field and the corresponding nuclear equation of state. We compare predictions from microscopic and phenomenological approaches. An application to heavy-ion reactions requires to incorporate these forces into the framework of dynamical transport models. Constraints on the nuclear equation of state derived from finite nuclei and from heavy-ion reactions are discussed.

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References

  1. GSI Conceptual Design Report, http://www.gsi.de/ GSI-Future.

  2. RIA homepage, http://www.orau.org/ria.

  3. H.A. Gustafsson, Phys. Rev. Lett. 52, 1590 (1984).

    ADS  Google Scholar 

  4. J. Decharge, D. Gogny, Phys. Rev. C 21, 1568 (1980).

    ADS  Google Scholar 

  5. M. Kleban, B. Nerlo-Pomorska, J.F. Berger, J. Decharge, M. Girod, S. Hilaire, Phys. Rev. C 65, 024309 (2002).

    ADS  Google Scholar 

  6. B. Cochet, K. Bennaceur, J. Meyer, P. Bonche, T. Duguet, Int. J. Mod. Phys. E 13, 187 (2004).

    ADS  Google Scholar 

  7. P.-G. Reinhard, M. Bender, Lect. Notes Phys. 641, 249 (2004).

    ADS  Google Scholar 

  8. P. Ring, Prog. Part. Nucl. Phys. 73, 193 (1996)

    Google Scholar 

  9. B.D. Serot, J.D. Walecka, Int. J. Mod. Phys. E 6, 515 (1997).

    ADS  Google Scholar 

  10. R.J. Furnstahl, Lect. Notes Phys. 641, 1 (2004).

    ADS  Google Scholar 

  11. M. Lutz, B. Friman, Ch. Appel, Phys. Lett. B 474, 7 (2000).

    ADS  Google Scholar 

  12. P. Finelli, N. Kaiser, D. Vretenar, W. Weise, Eur. Phys. J. A 17, 573 (2003)

    ADS  Google Scholar 

  13. D. Vretenar, W. Weise, Lect. Notes Phys. 641, 65 (2004).

    ADS  Google Scholar 

  14. V.R. Pandharipande, R.B. Wiringa, Rev. Mod. Phys. 51, 821 (1979).

    ADS  Google Scholar 

  15. A. Akmal, V.R. Pandharipande, D.G. Ravenhall, Phys. Rev. C 58, 1804 (1998).

    ADS  Google Scholar 

  16. K.A. Brueckner, J.L. Gammel, Phys. Rev. 107, 1023 (1958).

    MathSciNet  ADS  Google Scholar 

  17. M. Jaminon, C. Mahaux, Phys. Rev. C 40, 354 (1989).

    ADS  Google Scholar 

  18. W. Zuo, A. Lejeune, U. Lombardo, J.F. Mathiot, Nucl. Phys. A 706, 418 (2002).

    MATH  ADS  Google Scholar 

  19. X.R. Zhou, G.F. Burgio, U. Lombardo, H.-J. Schulze, W. Zuo, Phys. Rev. C 69, 018801 (2004).

    ADS  Google Scholar 

  20. B. ter Haar, R. Malfliet, Phys. Rep. 149, 207 (1987).

    ADS  Google Scholar 

  21. R. Brockmann, R. Machleidt, Phys. Rev. C 42, 1965 (1990).

    ADS  Google Scholar 

  22. F. de Jong, H. Lenske, Phys. Rev. C 58, 890 (1998).

    ADS  Google Scholar 

  23. T. Gross-Boelting, C. Fuchs, A. Faessler, Nucl. Phys. A 648, 105 (1999).

    ADS  Google Scholar 

  24. E. Schiller, H. Müther, Eur. Phys. J. A 11, 15 (2001).

    ADS  Google Scholar 

  25. C. Fuchs, Lect. Notes Phys. 641, 119 (2004).

    ADS  Google Scholar 

  26. E. van Dalen, C. Fuchs, A. Faessler, Nucl. Phys. A 744, 227 (2004)

    ADS  Google Scholar 

  27. H. Müther, A. Polls, Prog. Part. Nucl. Phys. 45, 243 (2000).

    ADS  Google Scholar 

  28. W.H. Dickhoff, C. Barbieri, Prog. Part. Nucl. Phys. 52, 377 (2004).

    ADS  Google Scholar 

  29. J. Carlson, J. Morales, V.R. Pandharipande, D.G. Ravenhall, Phys. Rev. C 68, 025802 (2003).

    ADS  Google Scholar 

  30. B.D. Serot, J.D. Walecka, Adv. Nucl. Phys. 16, 1 (1986).

    Google Scholar 

  31. J. Boguta, Phys. Lett. B 109, 251 (1982).

    ADS  Google Scholar 

  32. C. Fuchs, H. Lenske, H.H. Wolter, Phys. Rev. C 52, 3043 (1995)

    ADS  Google Scholar 

  33. F. Hofmann, C.M. Keil, H. Lenske, Phys. Rev. C 64, 034314 (2001)

    ADS  Google Scholar 

  34. S. Typel, H.H. Wolter, Nucl. Phys. A 656, 331 (1999).

    ADS  Google Scholar 

  35. T. Nikšić, D. Vretenar, P. Ring, Phys. Rev. C 66, 064302 (2002).

    ADS  Google Scholar 

  36. R. Machleidt, K. Holinde, Ch. Elster, Phys. Rep. 149, 1 (1987).

    Google Scholar 

  37. M.K. Banerjee, J.A. Tjon, Phys. Rev. C 58, 2120 (1998)

    ADS  Google Scholar 

  38. U. van Klock, Phys. Rev. C 49, 2932 (1994).

    ADS  Google Scholar 

  39. D.R. Entem, R. Machleidt, Phys. Rev. C 66, 014002 (2002)

    ADS  Google Scholar 

  40. E. Epelbaum, W. Glöckle, U.-G. Meissner, Nucl. Phys. A 747, 362 (2005).

    ADS  Google Scholar 

  41. S.K. Bogner, T.T.S. Kuo, A. Schwenk, Phys. Rep. 386, 1 (2003).

    ADS  Google Scholar 

  42. S.K. Bogner, A. Schwenk, R.J. Furnstahl, A. Nogga, Nucl. Phys. A 763, 59 (2005).

    ADS  Google Scholar 

  43. G.A. Lalazissis, J. König, P. Ring, Phys. Rev. C 55, 540 (1997).

    ADS  Google Scholar 

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

    ADS  Google Scholar 

  45. C.J. Horowitz, contribution VI.3, this topical issue.

  46. S. Shlomo, V.M. Kolomietz, G. Colò, contribution II.2, this topical issue.

  47. C. Mahaux, P.F. Bortignon, R.A. Broglia, C.H. Dasso, Phys. Rep. 120, 1 (1985).

    ADS  Google Scholar 

  48. D. Lunney, J.M. Pearson, C. Thibault, Rev. Mod. Phys. 75, 1021 (2003).

    ADS  Google Scholar 

  49. T. Frick, Kh. Gad, H. Müther, P. Czerski, Phys. Rev. C 65, 034321 (2002).

    ADS  Google Scholar 

  50. E. van Dalen, C. Fuchs, A. Faessler, Phys. Rev. Lett. 95, 022302 (2005).

    ADS  Google Scholar 

  51. J.M. Pearson, S. Goriely, Phys. Rev. C 64, 027301 (2001).

    ADS  Google Scholar 

  52. D. Alonso, F. Sammarruca, Phys. Rev. C 67, 054301 (2003)

    MathSciNet  ADS  Google Scholar 

  53. C.J. Horowitz, B.D. Serot, Nucl. Phys. A 464, 613 (1987).

    MathSciNet  ADS  Google Scholar 

  54. H. Krivine, J. Treiner, O. Boghias, Nucl. Phys. A 336, 155 (1980).

    ADS  Google Scholar 

  55. S. Goriely, E. Khan, Nucl. Phys. A 706, 217 (2002).

    ADS  Google Scholar 

  56. S. Hama, Phys. Rev. C 41, 2737 (1990)

    ADS  Google Scholar 

  57. P. Danielewicz, Nucl. Phys. A 673, 275 (2000).

    Google Scholar 

  58. T. Gaitanos, C. Fuchs, H.H. Wolter, A. Faessler, Eur. Phys. J. A 12, 421 (2001).

    ADS  Google Scholar 

  59. P.K. Sahu, W. Cassing, U. Mosel, A. Ohnishi, Nucl. Phys. A 672, 376 (2000).

    ADS  Google Scholar 

  60. H.F. Arellano, H.V. von Geramb, Phys. Rev. C 66, 024602 (2002).

    ADS  Google Scholar 

  61. S. Typel, Phys. Rev. C 71, 064301 (2005).

    ADS  Google Scholar 

  62. W. Zuo, L.G. Cao, B.A. Li, U. Lombardo, C.W. Shen, Phys. Rev. C 72, 014005 (2005).

    ADS  Google Scholar 

  63. T. Gaitanos, M. Di Toro, S. Typel, V. Baran, C. Fuchs, V. Greco, H.H. Wolter, Nucl. Phys. A 732, 24 (2004).

    MATH  ADS  Google Scholar 

  64. L.-W. Chen, C.M. Ko, B.-A. Li, Phys. Rev. C 72, 064606 (2005).

    ADS  Google Scholar 

  65. J.A. McNeil, J.R. Shepard, S.J. Wallace, Phys. Rev. C 27, 2123 (1983).

    ADS  Google Scholar 

  66. A.M. Lane, Nucl. Phys. 35, 676 (1962).

    Google Scholar 

  67. R. Kozack, D.G. Madland, Phys. Rev. C 39, 1461 (1989)

    ADS  Google Scholar 

  68. FOPI Collaboration (F. Rami), Phys. Rev. Lett. 84, 1120 (2000).

    ADS  Google Scholar 

  69. FOPI Collaboration (W. Reisdorf), Phys. Rev. Lett. 92, 232301 (2004).

    ADS  Google Scholar 

  70. W. Botermans, R. Malfliet, Phys. Rep. 198, 115 (1990).

    ADS  Google Scholar 

  71. G.F. Bertsch, S. Das Gupta, Phys. Rep. 160, 190 (1988).

    ADS  Google Scholar 

  72. C. Gregoire, B. Remaud, F. Sebille, L. Vincet, Y. Raffay, Nucl. Phys. A 465, 317 (1987).

    ADS  Google Scholar 

  73. B. Blättel, V. Koch, U. Mosel, Rep. Prog. Phys. 56, 1 (1993).

    ADS  Google Scholar 

  74. C. Fuchs, H.H. Wolter, Nucl. Phys. A 589, 732 (1995).

    ADS  Google Scholar 

  75. J. Aichelin, Phys. Rep. 202, 233 (1991)

    ADS  Google Scholar 

  76. S.A. Bass, Prog. Part. Nucl. Phys. 41, 225 (1998).

    Google Scholar 

  77. J. Jaenicke, J. Aichelin, N. Ohtsuka, R. Linden, A. Faessler, Nucl. Phys. A 536, 201 (1992).

    ADS  Google Scholar 

  78. H. Sorge, H. Stöcker, W. Greiner, Ann. Phys. 192, 266 (1989).

    MATH  ADS  Google Scholar 

  79. A. Ono, H. Horiuchi, T. Maruyama, A. Ohnishi, Prog. Theor. Phys. 87, 1185 (1992).

    ADS  Google Scholar 

  80. H. Feldmeier, J. Schnack, Rev. Mod. Phys. 72, 655 (2000).

    ADS  Google Scholar 

  81. A. Ono, contribution III.3, this topical issue.

  82. P. Danielewicz, Ann. Phys. 152, 239

  83. H.S. Köhler, Phys. Rev. C 51, 3232 (1995).

    ADS  Google Scholar 

  84. K. Morawetz, P. Lipavský, V. Špička, Ann. Phys. 294, 134 (2001).

    MathSciNet  ADS  Google Scholar 

  85. K. Morawetz, Phys. Rev. C 63, 034619 (2001).

    ADS  Google Scholar 

  86. K. Morawetz, Phys. Rev. Lett. 82, 3767 (1999).

    ADS  Google Scholar 

  87. W. Cassing, S. Juchem, Nucl. Phys. A 665, 377 (2000)

    Google Scholar 

  88. J. Lehr, M. Effenberger, H. Lenske, S. Leupold, U. Mosel, Phys. Lett. B 483, 324 (2000).

    ADS  Google Scholar 

  89. C. Fuchs, A. Faessler, M. El-Shabshiry, Phys. Rev. C 64, 024003 (2001).

    ADS  Google Scholar 

  90. K. Morawetz, P. Lipavský, V. Špička, H.N. Kwong, Phys. Rev. C 59, 3052 (1999).

    ADS  Google Scholar 

  91. P. Lipavský, V. Špička, K. Morawetz, Phys. Rev. E 59, 1291 (1999).

    ADS  Google Scholar 

  92. M. Debowski, Z. Phys. A 356, 313 (1996).

    Google Scholar 

  93. N. Herrmann, J.P. Wessels, T. Wienold, Ann. Phys. 49, 581 (1999).

    Google Scholar 

  94. P. Danielewicz, Phys. Rev. Lett. 81, 2438 (1998)

    ADS  Google Scholar 

  95. FOPI Collaboration (A. Andronic), Phys. Lett. B 612, 173 (2005).

    ADS  Google Scholar 

  96. C. Fuchs, T. Gaitanos, Nucl. Phys. A 714, 643 (2003).

    MATH  ADS  Google Scholar 

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

    ADS  Google Scholar 

  98. A. Hombach, W. Cassing, S. Teis, U. Mosel, Eur. Phys. J. A 5, 157 (1999).

    ADS  Google Scholar 

  99. FOPI Collaboration (A. Andronic), Nucl. Phys. A 661, 333c (1999)

    ADS  Google Scholar 

  100. FOPI Collaboration (G. Stoicea), Phys. Rev. Lett. 92, 072303 (2004).

    ADS  Google Scholar 

  101. KaoS Collaboration (D. Brill), Z. Phys. A 355, 61 (1996).

    Google Scholar 

  102. T. Gaitanos, C. Fuchs, H.H. Wolter, Nucl. Phys. A 741, 287 (2004)

    ADS  Google Scholar 

  103. A. Andronic, J. Łukasik, W. Reisdorf, W. Trautmann, contribution II.3, this topical issue.

  104. G.Q. Li, R. Machleidt, Phys. Rev. C 48, 1702 (1993)

    ADS  Google Scholar 

  105. A.B. Larionov, W. Cassing, S. Leupold, U. Mosel, Nucl. Phys. A 696, 747 (2001).

    ADS  Google Scholar 

  106. FOPI Collaboration (B. Hong), Phys. Rev. C 71, 034902 (2005).

    ADS  Google Scholar 

  107. T. Gaitanos, C. Fuchs, H.H. Wolter, Phys. Lett. B 609, 241 (2005).

    ADS  Google Scholar 

  108. P. Danielewicz, Acta Phys. Pol. B 33, 45 (2002).

    ADS  Google Scholar 

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

    ADS  Google Scholar 

  110. B.-A. Li, C.B. Das, S. Das Gupta, Ch. Gale, Phys. Rev. C 69, 011603 (2004).

    ADS  Google Scholar 

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

    ADS  Google Scholar 

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

    ADS  Google Scholar 

  113. D.V. Shetty, S.J. Yennello, G.A. Souliotis, nucl-ex/0505011.

  114. M. Di Toro, S.J. Yennello, Bao-An Li, contribution IV.1, this topical issue.

  115. D.T. Khoa, H.S. Than, nucl-th/0502059

  116. B.-A. Li, G.-C. Yong, W. Zuo, Phys. Rev. C 71, 044604 (2005).

    ADS  Google Scholar 

  117. B. Liu, V. Greco, V. Baran, M. Colonna, M. Di Toro, Phys. Rev. C 65, 045201 (2002).

    ADS  Google Scholar 

  118. R. Stock, Phys. Rep. 135, 259 (1986).

    ADS  Google Scholar 

  119. P. Senger, H. Ströbele, J. Phys. G 25, R59 (1999).

  120. V.S. Uma Maheswari, C. Fuchs, A. Faessler, L. Sehn, D. Kosov, Z. Wang, Nucl. Phys. A 628, 669 (1998).

    ADS  Google Scholar 

  121. B.-A. Li, G.-C. Yong, W. Zuo, Phys. Rev. C 71, 014608 (2005).

    ADS  Google Scholar 

  122. Q. Li, Z. Li, S. Soff, M. Bleicher, H. Stöcker, Phys. Rev. C 72, 034613 (2005).

    ADS  Google Scholar 

  123. KaoS Collaboration (A. Schmah), Phys. Rev. C 71, 064907 (2005).

    ADS  Google Scholar 

  124. J. Aichelin, C.M. Ko, Phys. Rev. Lett. 55, 2661 (1985).

    ADS  Google Scholar 

  125. S.W. Huang, A. Faessler, G.Q. Li, R.K. Puri, E. Lehmann, D.T. Khoa, M.A. Matin, Phys. Lett. B 298, 41 (1993).

    ADS  Google Scholar 

  126. C. Hartnack, J. Jaenicke, L. Sehn, H. Stöcker, J. Aichelin, Nucl. Phys. A 580, 643 (1994).

    ADS  Google Scholar 

  127. G.Q. Li, C.M. Ko, Phys. Lett. B 349, 405 (1995).

    ADS  Google Scholar 

  128. C. Fuchs, Z. Wang, L. Sehn, A. Faessler, V.S. Uma Maheswari, D.S. Kosov, Phys. Rev. C 56, R606 (1997).

  129. T. Maruyama, W. Cassing, U. Mosel, S. Teis, K. Weber, Nucl. Phys. A 573, 653 (1994).

    ADS  Google Scholar 

  130. E.L. Bratkovskaya, W. Cassing, U. Mosel, Nucl. Phys. A 622, 593 (1997).

    ADS  Google Scholar 

  131. COSY-11 Collaboration (J.T. Balewski), Phys. Lett. B 338, 859 (1996)

    ADS  Google Scholar 

  132. KaoS Collaboration (D. Miskowiec), Phys. Rev. Lett. 72, 3650 (1994).

    ADS  Google Scholar 

  133. KaoS Collaboration (C. Sturm), Phys. Rev. Lett. 86, 39 (2001).

    ADS  Google Scholar 

  134. C. Fuchs, Prog. Part. Nucl. Phys. 56, 1 (2006).

    ADS  Google Scholar 

  135. C. Fuchs, A. Faessler, E. Zabrodin, Y.M. Zheng, Phys. Rev. Lett. 86, 1974 (2001)

    ADS  Google Scholar 

  136. Ch. Hartnack, J. Aichelin, J. Phys. G 28, 1649 (2002).

    ADS  Google Scholar 

  137. Ch. Hartnack, H. Oeschler, J. Aichelin, Phys. Rev. Lett. 96, 012302 (2006).

    ADS  Google Scholar 

  138. D.J. Nice, E.M. Splaver, I.H. Stairs, O. Löhmer, A. Jessner, M. Kramer, J.M. Cordes, Astrophys. J. 634, 1242 (2005).

    ADS  Google Scholar 

  139. T. Kähn, nucl-th/0602038.

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

    ADS  Google Scholar 

  141. B.-A. Li, A.W. Steiner, nucl-th/0511064.

  142. J.M. Lattimer, C.J. Pethick, M. Prakash, P. Haensel, Phys. Rev. Lett. 66, 2701 (1991).

    ADS  Google Scholar 

  143. D. Blaschke, H. Grigorian, D. Voskresensky, Astron. Astrophys. 424, 979 (2004).

    ADS  Google Scholar 

  144. E.E. Kolomeitsev, D.N. Voskresensky, Nucl. Phys. A 759, 373 (2005).

    ADS  Google Scholar 

  145. S. Popov, H. Grigorian, R. Turolla, D. Blaschke, Astron. Astrophys. 448, 327 (2006).

    ADS  Google Scholar 

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  1. Institut für Theoretische Physik der Universität Tübingen, D-72076, Tübingen, Germany

    C. Fuchs

  2. Sektion Physik der Universität München, D-85748, Garching, Germany

    H. H. Wolter

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  1. C. Fuchs
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  2. H. H. Wolter
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Fuchs, C., Wolter, H.H. Modelization of the EOS. Eur. Phys. J. A 30, 5–21 (2006). https://doi.org/10.1140/epja/i2005-10313-x

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