Skip to main content
Log in

A new formula for the saddle-to-scission time

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

Abstract.

We propose a new formula for the saddle-to-scission time that is more general that the one based on Kramers' approach. Its validity and applicability is then studied in detail. Such a formula is useful for the evaluation of the fission time of very heavy 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. H.A. Kramers, Physica VII 4, 284 (1940).

    Article  ADS  Google Scholar 

  2. S. Hassani, P. Grangé, Phys. Lett. B 137, 281 (1984).

    Article  ADS  Google Scholar 

  3. B. Bouriquet, Y. Abe, D. Boilley, Comput. Phys. Commun. 159, 1 (2004).

    Article  ADS  Google Scholar 

  4. L. Pontryagin, A. Andronov, A. Vitt, Zh. Eksp. Teor. Fiz. 3, 165 (1933) translated in English in F. Moll, P.V.E. McClintock (Editors), Noise in Nonlinear dynamics, Vol. 1 (Cambridge University Press, 1989) p. 329.

    Google Scholar 

  5. G. Klein, Proc. R. Soc. London, Ser. A 211, 431 (1952).

    MATH  Google Scholar 

  6. D. Hilscher, H. Roßner, Ann. Phys. (Paris) 17, 471 (1992).

    Google Scholar 

  7. H. Hofmann, J.R. Nix, Phys. Lett. B 122, 117 (1983).

    Article  ADS  Google Scholar 

  8. J.R. Nix, A.J. Sierk, H. Hofmann, F. Scheuter, D. Vautherin, Nucl. Phys. A 424, 239 (1984).

    Article  ADS  Google Scholar 

  9. P. Grangé, J.-Q. Li, H.A. Weidenmüller, Phys. Rev. C 27, 2063 (1983).

    Article  ADS  Google Scholar 

  10. Y. Abe, C. Grégoire, H. Delagrange, J. Phys. (Paris) C 4, 329 (1986).

    Google Scholar 

  11. Y. Abe, S. Ayik, P.-G. Reinhard, E. Suraud, Phys. Rep. 275, 49 (1996).

    Article  ADS  Google Scholar 

  12. P. Fröbrich, I.I. Gontchar, Phys. Rep. 292, 131 (1998).

    Article  ADS  Google Scholar 

  13. O. Klein, Arkiv. Mat. Astr. Fys. 16, 1 (1921).

    Google Scholar 

  14. M. von Smoluchowski, Ann. Phys. (Leipzig) 48, 1103 (1915).

    ADS  Google Scholar 

  15. P. Hänggi, P. Talkner, M. Borkovec, Rev. Mod. Phys. 62, 251 (1990).

    Article  ADS  Google Scholar 

  16. J.-D. Bao, Y. Jia, Phys. Rev. C 69, 027602 (2004).

    Article  ADS  Google Scholar 

  17. M. Suzuki, Int. J. Magn. 1, 123 (1971).

    Google Scholar 

  18. A.N. Malakhov, Chaos 7, 488 (1997).

    Article  MATH  ADS  Google Scholar 

  19. D. Boilley, B. Jurado, C. Schmitt, Phys. Rev. E 70, 056129 (2004).

    Article  ADS  Google Scholar 

  20. M. Bier, I. Derényi, M. Kostur, R.D. Astumian, Phys. Rev. E 59, 6422 (1999).

    Article  ADS  Google Scholar 

  21. H. Hofmann, F.A. Ivanyuk, Phys. Rev. Lett. 90, 132701 (2003).

    Article  ADS  Google Scholar 

  22. D. Kohen, D.J. Tannor, J. Chem. Phys. 100, 4932 (1994).

    Article  ADS  Google Scholar 

  23. Y. Abe, D. Boilley, B.G. Giraud, T. Wada, Phys. Rev. E 61, 1125 (2000).

    Article  ADS  Google Scholar 

  24. D. Boilley, Y. Abe, J.D. Bao, Eur. Phys. J. A 18, 627 (2003).

    Article  ADS  Google Scholar 

  25. P. Langevin, C. R. Acad. Sci. Paris 146, 530 (1908).

    Google Scholar 

  26. R. Fürth, Ann. Phys. (Leipzig) 53, 177 (1917).

    Google Scholar 

  27. H. Hofmann, A.G. Magner, Phys. Rev. C 68, 014606 (2003).

    Article  ADS  Google Scholar 

  28. V.M. Kolomietz, S.V. Radionov, S. Shlomo, Phys. Rev. C 64, 054302 (2001).

    Article  ADS  Google Scholar 

  29. S. Ayik, E. Suraud, J. Stryjewski, M. Belkacem, Z. Phys. A 337, 413 (1990).

    Google Scholar 

  30. D. Boilley, Y. Abe, S. Ayik, E. Suraud, Z. Phys A 349, 119 (1994).

    Article  Google Scholar 

  31. D. Boilley, Y. Lallouet, J. Stat. Phys. 125, 477 (2006).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to D. Boilley.

Additional information

W. Nazarewicz

Rights and permissions

Reprints and permissions

About this article

Cite this article

Boilley, D., Marchix, A., Jurado, B. et al. A new formula for the saddle-to-scission time. Eur. Phys. J. A 33, 47–52 (2007). https://doi.org/10.1140/epja/i2007-10415-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epja/i2007-10415-5

PACS.

Navigation