The European Physical Journal A

, Volume 38, Issue 1, pp 85–95 | Cite as

Probing the equation of state for cold nuclear matter in fusion reactions

Regular Article - Theoretical Physics

Abstract

To probe the nuclear equation of state, several fusion cross-sections have been analyzed using microscopic nucleus-nucleus potentials calculated in the framework of the Hamiltonian energy density approach through the well-known Skyrme nucleon-nucleon effective interaction with eighteen different parameterizations which express various equations of state. Three density-dependent M3Y-Paris effective forces are examined also within the double-folding model. The various effective forces give incompressibility modulus values which vary over a rather wide range between 188MeV and 372MeV. The extracted fusion barrier distributions are examined too with the same aim. The most successfully investigated interactions in deriving satisfactory fusion excitation functions as well as barrier distributions are those giving equations of state with nuclear incompressibility values in the range of 230-241MeV, according to the isospin asymmetry of the interacting nuclei.

PACS

25.60.Pj Fusion reactions 21.30.-x Nuclear forces 24.10.-i Nuclear reaction models and methods 

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References

  1. 1.
    M. Baldo, C. Maieron, J. Phys. G 34, R243 (2007).Google Scholar
  2. 2.
    E.N.E. van Dalen, C. Fuchs, A. Faessler, Phys. Rev. Lett. 95, 022302 (2005).Google Scholar
  3. 3.
    P.-G. Reinhard, M. Bender, Lect. Notes Phys. 641, 249 (2004).Google Scholar
  4. 4.
    P. Ring, Lect. Notes Phys. 641, 175 (2004).Google Scholar
  5. 5.
    A. Akmal, V.R. Pandharipande, D.G. Ravenhall, Phys. Rev. C 58, 1804 (1998).Google Scholar
  6. 6.
    D.M. Brink, F.L. Stancu, Nucl. Phys. A 243, 175 (1975).Google Scholar
  7. 7.
    F.L. Stancu, D.M. Brink, Nucl. Phys. A 270, 236 (1976).Google Scholar
  8. 8.
    M. Ismail, W.M. Seif, M.M. Osman, H. El-Gebaly, N.M. Hassan, Phys. Rev.C 72, 064616 (2005).Google Scholar
  9. 9.
    N. Wang, Z. Li, W. Scheid, J. Phys. G 34, 1935 (2007).Google Scholar
  10. 10.
    M. Liu, N. Wang, Z. Li, X. Wu, E. Zhao, Nucl. Phys. A 768, 80 (2006).Google Scholar
  11. 11.
    M. Zamrun F., K. Hagino, N. Takigawa, arXiv:nucl-th/ 0606011.Google Scholar
  12. 12.
    A. Dobrowolski, K. Pomorski, J. Bartel, Nucl. Phys. A 729, 713 (2003).Google Scholar
  13. 13.
    V.Yu. Denisov, W. Noerenberg, Eur. Phys. J. A 15, 375 (2002).Google Scholar
  14. 14.
    J. Bartel, P. Quentin, M. Brack, G. Guet, H.B. Håkansson, Nucl. Phys. A 386, 79 (1982).Google Scholar
  15. 15.
    J. Friedrich, N. Voegler, Nucl. Phys. A 373, 191 (1982).Google Scholar
  16. 16.
    D. Vautherin, D.M. Brink, Phys. Rev. C 5, 626 (1972).Google Scholar
  17. 17.
    J.E. Blaizot, Phys. Rep. 64, 171 (1980).Google Scholar
  18. 18.
    B.L. Berman, S.C. Fultz, Rev. Mod. Phys. 47, 713 (1975).Google Scholar
  19. 19.
    J.M. Pearson, S. Goriely, Phys. Rev. C 64, 027301 (2001).Google Scholar
  20. 20.
    S. Bjørnholm, J.E. Lynn, Rev. Mod. Phys. 52, 725 (1980).Google Scholar
  21. 21.
    B.A. Brown, Phys. Rev. C 58, 220 (1998).Google Scholar
  22. 22.
    P.-G. Reinhard, H. Flocard, Nucl. Phys. A 584, 467 (1995).Google Scholar
  23. 23.
    J.R. Stone, J.C. Miller, R. Koncewicz, P.D. Stevenson, M.R. Strayer, Phys. Rev. C 68, 034324 (2003).Google Scholar
  24. 24.
    E. Chabanat, E. Bonche, E. Haensel, J. Meyer, R. Schaeffer, Nucl. Phys. A 627, 710 (1997).Google Scholar
  25. 25.
    C.J. Pethick, D.G. Ravenhall, C.R. Lorenz, Nucl. Phys. A 584, 675 (1995).Google Scholar
  26. 26.
    J. Eisenberg, W. Greiner, Nuclear Theory, Vol. I, Phenomenological Models (North-Holland, Amsterdam, 1988).Google Scholar
  27. 27.
    S. Shlomo, D.H. Youngblood, Phys. Rev. C 47, 529 (1993).Google Scholar
  28. 28.
    D. Vretenar, T. Niksic, P. Ring, Phys. Rev. C 68, 024310 (2003).Google Scholar
  29. 29.
    J. Piekarewicz, Phys. Rev. C 69, 041301 (2004).Google Scholar
  30. 30.
    V.B. Soubbotin, V.I. Tselyaev, X. Viñas, Phys. Rev. C 69, 064312 (2004).Google Scholar
  31. 31.
    M. Bender, P.H. Heenen, P.G. Reinhard, Rev. Mod. Phys. 75, 121 (2003).Google Scholar
  32. 32.
    G. Colò, N. Van Giai, J. Meyer, K. Bennaceur, P. Bonche, Phys. Rev. C 70, 024307 (2004).Google Scholar
  33. 33.
    B. Cochet, K. Bennaceur, J. Meyer, P. Bonche, T. Duguet, Int. J. Mod. Phys. E 13, 187 (2004).Google Scholar
  34. 34.
    Dao T. Khoa, G.R. Satchler, W. von Oertzen, Phys. Rev. C 56, 954 (1997).Google Scholar
  35. 35.
    Dao T. Khoa, W. von Oertzen, H.G. Bohlen, S. Ohkubo, J. Phys. G 34, R111 (2007).Google Scholar
  36. 36.
    Dao T. Khoa, Phys. Rev. Lett. 74, 34 (1995).Google Scholar
  37. 37.
    W.M. Seif, Phys. Rev. C 74, 034302 (2006).Google Scholar
  38. 38.
    J. Dobaczewski, H. Flocard, J. Treiner, Nucl. Phys. A 422, 103 (1984).Google Scholar
  39. 39.
    E. Chabanat, E. Bonche, E. Haensel, J. Meyer, R. Schaeffer, Nucl. Phys. A 635, 231 (1998).Google Scholar
  40. 40.
    F. Tondeur, M. Brack, M. Farine, J.M. Pearson, Nucl. Phys. A 420, 297 (1984).Google Scholar
  41. 41.
    M. Rayet, M. Arnould, F. Tondeur, G. Paulus, Astron. Astrophys. 116, 183 (1982).Google Scholar
  42. 42.
    J. Friedrich, P.-G. Reinhard, Phys. Rev. C 33, 335 (1986).Google Scholar
  43. 43.
    M. Beiner, H. Flocard, N. Van Giai, P. Quentin, Nucl. Phys. A 238, 29 (1975).Google Scholar
  44. 44.
    D.T. Khoa, W. von Oertzen, Phys. Lett. B 342, 6 (1995).Google Scholar
  45. 45.
    M. Brack, C. Guet, H.-B. Håkansson, Phys. Rep. 123, 275 (1985).Google Scholar
  46. 46.
    P. Bonche, H. Flocard, P.H. Heenen, Nucl. Phys. A 467, 115 (1987).Google Scholar
  47. 47.
    M. Onsi, H. Przysiezniak, J.M. Pearson, Phys, Rev. C 55, 3139 (1997).Google Scholar
  48. 48.
    T. Ichikawa, K. Hagino, A. Iwamoto, Phys. Rev. C 75, 057603 (2007).Google Scholar
  49. 49.
    P.-G. Reinhard, Computational Nuclear Physics, Vol. 1, edited by K. Langanke, J.A. Maruhn, S.E. Koonin (Springer-Verlag, Berlin, 1990) p. 28.Google Scholar
  50. 50.
    M. Centelles, M. Pi, X. Viñas, F. Garcias, M. Barranco, Nucl. Phys. A 510, 397 (1990).Google Scholar
  51. 51.
    N. Anantaraman, H. Toki, G. Bertsch, Nucl. Phys. A 398, 269 (1983).Google Scholar
  52. 52.
    G.R. Satchler, W.G. Love, Phys. Rep. 55, 183 (1979).Google Scholar
  53. 53.
    M. Ismail, M.M. Osman, F. Salah, Phys. Lett. B 378, 40 (1996).Google Scholar
  54. 54.
    W.M. Seif, J. Phys. G 30, 1231 (2004).Google Scholar
  55. 55.
    A. Kuronen, J. Keinonen, P. Tikkanen, Phys. Rev. C 35, 591 (1987).Google Scholar
  56. 56.
    H.A. Aljuwair, R.J. Ledoux, M. Beckerman, S.B. Gazes, J. Wiggins, E.R. Cosman, R.R. Betts, S. Saini, O. Hansen, Phys. Rev. C 30, 1223 (1984).Google Scholar
  57. 57.
    M. Trotta, A.M. Stefanini, L. Corradi, A. Gadea, F. Scarlassara, S. Beghini, G. Montagnoli, Phys. Rev. C 65, 011601(R) (2001).Google Scholar
  58. 58.
    J.R. Leigh, M. Dasgupta, D.J. Hinde, J.C. Mein, C.R. Morton, R.C. Lemmon, J.P. Lestone, J.O. Newton, H. Timmers, J.X. Wei, N. Rowley, Phys. Rev. C 52, 3151 (1995).Google Scholar
  59. 59.
    J.O. Newton, C.R. Morton, M. Dasgupta, J.R. Leigh, J.C. Mein, D.J. Hinde, H. Timmers, K. Hagino, Phys. Rev. C 64, 064608 (2001).Google Scholar
  60. 60.
    H. Timmers, D. Ackermann, S. Beghini, L. Corradi, J.H. He, G. Montagnoli, F. Scarlassara, A.M. Stefanini, N. Rowley, Nucl. Phys. A 633, 421 (1998).Google Scholar
  61. 61.
    C.R. Morton, A.C. Berriman, M. Dasgupta, Phys. Rev. C 60, 044608 (1999).Google Scholar
  62. 62.
    C.Y. Wong, Phys. Rev. Lett. 31, 766 (1973).Google Scholar
  63. 63.
    H. Esbensen, Phys. Rev. C 77, 054608 (2008).Google Scholar
  64. 64.
    S. Mişicu, H. Esbensen, Phys. Rev. C 75, 034606 (2007).Google Scholar
  65. 65.
    K. Hagino, N. Rowley, A.T. Kruppa, Comput. Phys. Commun. 123, 143 (1999).Google Scholar
  66. 66.
    T. Kibédi, R.H. Spear, At. Data Nucl. Data Tables 80, 35 (2002).Google Scholar
  67. 67.
    S. Raman, C.W. Nestor jr., P. Tikkanen, At. Data Nucl. Data Tables 78, 1 (2001).Google Scholar
  68. 68.
    W.D. Myers, W.J. Światecki, Phys. Rev. C 57, 3020 (1998).Google Scholar
  69. 69.
    S. Goriely, M. Samyn, P.-H. Heenen, J.M. Pearson, F. Tondeur, Phys. Rev. C 66, 024326 (2002).Google Scholar
  70. 70.
    N. Rowley, G.R. Satchler, P.H. Stelson, Phys. Lett. B 254, 25 (1991).Google Scholar

Copyright information

© SIF, Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  1. 1.Department of PhysicsCairo University, Faculty of ScienceGizaEgypt

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