Skip to main content
Log in

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

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

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.

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. M. Baldo, C. Maieron, J. Phys. G 34, R243 (2007).

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

    Google Scholar 

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

    Google Scholar 

  4. P. Ring, Lect. Notes Phys. 641, 175 (2004).

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

    Google Scholar 

  6. D.M. Brink, F.L. Stancu, Nucl. Phys. A 243, 175 (1975).

    Google Scholar 

  7. F.L. Stancu, D.M. Brink, Nucl. Phys. A 270, 236 (1976).

    Google Scholar 

  8. M. Ismail, W.M. Seif, M.M. Osman, H. El-Gebaly, N.M. Hassan, Phys. Rev.C 72, 064616 (2005).

    Google Scholar 

  9. N. Wang, Z. Li, W. Scheid, J. Phys. G 34, 1935 (2007).

  10. M. Liu, N. Wang, Z. Li, X. Wu, E. Zhao, Nucl. Phys. A 768, 80 (2006).

  11. M. Zamrun F., K. Hagino, N. Takigawa, arXiv:nucl-th/ 0606011.

  12. A. Dobrowolski, K. Pomorski, J. Bartel, Nucl. Phys. A 729, 713 (2003).

    Google Scholar 

  13. V.Yu. Denisov, W. Noerenberg, Eur. Phys. J. A 15, 375 (2002).

    Google Scholar 

  14. J. Bartel, P. Quentin, M. Brack, G. Guet, H.B. Håkansson, Nucl. Phys. A 386, 79 (1982).

    Google Scholar 

  15. J. Friedrich, N. Voegler, Nucl. Phys. A 373, 191 (1982).

    Google Scholar 

  16. D. Vautherin, D.M. Brink, Phys. Rev. C 5, 626 (1972).

    Google Scholar 

  17. J.E. Blaizot, Phys. Rep. 64, 171 (1980).

  18. B.L. Berman, S.C. Fultz, Rev. Mod. Phys. 47, 713 (1975).

    Google Scholar 

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

    Google Scholar 

  20. S. Bjørnholm, J.E. Lynn, Rev. Mod. Phys. 52, 725 (1980).

    Google Scholar 

  21. B.A. Brown, Phys. Rev. C 58, 220 (1998).

    Google Scholar 

  22. P.-G. Reinhard, H. Flocard, Nucl. Phys. A 584, 467 (1995).

    Google Scholar 

  23. J.R. Stone, J.C. Miller, R. Koncewicz, P.D. Stevenson, M.R. Strayer, Phys. Rev. C 68, 034324 (2003).

    Google Scholar 

  24. E. Chabanat, E. Bonche, E. Haensel, J. Meyer, R. Schaeffer, Nucl. Phys. A 627, 710 (1997).

    Google Scholar 

  25. C.J. Pethick, D.G. Ravenhall, C.R. Lorenz, Nucl. Phys. A 584, 675 (1995).

    Google Scholar 

  26. J. Eisenberg, W. Greiner, Nuclear Theory, Vol. I, Phenomenological Models (North-Holland, Amsterdam, 1988).

  27. S. Shlomo, D.H. Youngblood, Phys. Rev. C 47, 529 (1993).

    Google Scholar 

  28. D. Vretenar, T. Niksic, P. Ring, Phys. Rev. C 68, 024310 (2003).

    Google Scholar 

  29. J. Piekarewicz, Phys. Rev. C 69, 041301 (2004).

    Google Scholar 

  30. V.B. Soubbotin, V.I. Tselyaev, X. Viñas, Phys. Rev. C 69, 064312 (2004).

    Google Scholar 

  31. M. Bender, P.H. Heenen, P.G. Reinhard, Rev. Mod. Phys. 75, 121 (2003).

    Google Scholar 

  32. G. Colò, N. Van Giai, J. Meyer, K. Bennaceur, P. Bonche, Phys. Rev. C 70, 024307 (2004).

    Google Scholar 

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

    Google Scholar 

  34. Dao T. Khoa, G.R. Satchler, W. von Oertzen, Phys. Rev. C 56, 954 (1997).

  35. Dao T. Khoa, W. von Oertzen, H.G. Bohlen, S. Ohkubo, J. Phys. G 34, R111 (2007).

  36. Dao T. Khoa, Phys. Rev. Lett. 74, 34 (1995).

  37. W.M. Seif, Phys. Rev. C 74, 034302 (2006).

    Google Scholar 

  38. J. Dobaczewski, H. Flocard, J. Treiner, Nucl. Phys. A 422, 103 (1984).

    Google Scholar 

  39. E. Chabanat, E. Bonche, E. Haensel, J. Meyer, R. Schaeffer, Nucl. Phys. A 635, 231 (1998).

    Google Scholar 

  40. F. Tondeur, M. Brack, M. Farine, J.M. Pearson, Nucl. Phys. A 420, 297 (1984).

    Google Scholar 

  41. M. Rayet, M. Arnould, F. Tondeur, G. Paulus, Astron. Astrophys. 116, 183 (1982).

    Google Scholar 

  42. J. Friedrich, P.-G. Reinhard, Phys. Rev. C 33, 335 (1986).

    Google Scholar 

  43. M. Beiner, H. Flocard, N. Van Giai, P. Quentin, Nucl. Phys. A 238, 29 (1975).

    Google Scholar 

  44. D.T. Khoa, W. von Oertzen, Phys. Lett. B 342, 6 (1995).

    Google Scholar 

  45. M. Brack, C. Guet, H.-B. Håkansson, Phys. Rep. 123, 275 (1985).

    Google Scholar 

  46. P. Bonche, H. Flocard, P.H. Heenen, Nucl. Phys. A 467, 115 (1987).

    Google Scholar 

  47. M. Onsi, H. Przysiezniak, J.M. Pearson, Phys, Rev. C 55, 3139 (1997).

    Google Scholar 

  48. T. Ichikawa, K. Hagino, A. Iwamoto, Phys. Rev. C 75, 057603 (2007).

    Google Scholar 

  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.

  50. M. Centelles, M. Pi, X. Viñas, F. Garcias, M. Barranco, Nucl. Phys. A 510, 397 (1990).

    Google Scholar 

  51. N. Anantaraman, H. Toki, G. Bertsch, Nucl. Phys. A 398, 269 (1983).

    Google Scholar 

  52. G.R. Satchler, W.G. Love, Phys. Rep. 55, 183 (1979).

    Google Scholar 

  53. M. Ismail, M.M. Osman, F. Salah, Phys. Lett. B 378, 40 (1996).

    Google Scholar 

  54. W.M. Seif, J. Phys. G 30, 1231 (2004).

    Google Scholar 

  55. A. Kuronen, J. Keinonen, P. Tikkanen, Phys. Rev. C 35, 591 (1987).

    Google Scholar 

  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. M. Trotta, A.M. Stefanini, L. Corradi, A. Gadea, F. Scarlassara, S. Beghini, G. Montagnoli, Phys. Rev. C 65, 011601(R) (2001).

  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. 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. 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. C.R. Morton, A.C. Berriman, M. Dasgupta, Phys. Rev. C 60, 044608 (1999).

    Google Scholar 

  62. C.Y. Wong, Phys. Rev. Lett. 31, 766 (1973).

    Google Scholar 

  63. H. Esbensen, Phys. Rev. C 77, 054608 (2008).

    Google Scholar 

  64. S. Mişicu, H. Esbensen, Phys. Rev. C 75, 034606 (2007).

    Google Scholar 

  65. K. Hagino, N. Rowley, A.T. Kruppa, Comput. Phys. Commun. 123, 143 (1999).

    Google Scholar 

  66. T. Kibédi, R.H. Spear, At. Data Nucl. Data Tables 80, 35 (2002).

  67. S. Raman, C.W. Nestor jr., P. Tikkanen, At. Data Nucl. Data Tables 78, 1 (2001).

  68. W.D. Myers, W.J. Światecki, Phys. Rev. C 57, 3020 (1998).

    Google Scholar 

  69. S. Goriely, M. Samyn, P.-H. Heenen, J.M. Pearson, F. Tondeur, Phys. Rev. C 66, 024326 (2002).

    Google Scholar 

  70. N. Rowley, G.R. Satchler, P.H. Stelson, Phys. Lett. B 254, 25 (1991).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to W. M. Seif.

Additional information

Communicated by G. Orlandini

Rights and permissions

Reprints and permissions

About this article

Cite this article

Seif, W.M. Probing the equation of state for cold nuclear matter in fusion reactions. Eur. Phys. J. A 38, 85–95 (2008). https://doi.org/10.1140/epja/i2008-10643-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epja/i2008-10643-1

PACS

Navigation