Skip to main content
Log in

Corrections to Kramers’ formula for the fission rate of excited nuclei

  • Proceedings of the International Conference “Nucleus-2011” (The 61st International Conference on Nuclear Spectroscopy and the Structure of Atomic Nuclei)
  • Published:
Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

A Kramers’ formulas with corrections of the first and second infinitesimal orders, R F and R S , are derived from the integral Kramers’ formula. In these corrections, we consider higher derivatives of the potential and the distance between the saddle and scission points in R F . The rates R F and R S are compared with the results of dynamic simulations R D . It is shown that R F and R I agree with R D equally well. The calculations are performed for different forms of the potential. Although the corrections are derived for the overdamping mode they can be used for the case of medium friction.

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

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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. Kramers, H.A., Physica, 1940, vol. 7, p. 284.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  2. Gontchar, I.I., Fröbrich, P., and Pischasov, N.I., Phys. Rev. C, 1993, vol. 47, p. 2228.

    Article  ADS  Google Scholar 

  3. Karpov, A.V., Nadtochy, P.N., Ryabov, E.G., et al., J. Phys. G, 2003, vol. 29, p. 2365.

    Article  ADS  Google Scholar 

  4. Jing-Dong Bao and Ying Jia, Phys. Rev. C, 2004, vol. 69, p. 027602.

    Article  ADS  Google Scholar 

  5. Gontchar, I.I., Chushnyakova, M.V., Aktaev, N.E., et al., Phys. Rev. C, 2010, vol. 82, p. 064606.

    Article  ADS  Google Scholar 

  6. Aktaev, N.E. and Gonchar, I.I., Bull. Russ. Acad. Sci. Phys., 2011, vol. 75, no. 7, p. 994.

    Article  Google Scholar 

  7. Giardina, G., Drozdov, V.A., Eremenko, D.O., Platonov, S.Yu., and Fotina, O.V., Bull. Russ. Acad. Sci. Phys., 2010, vol. 74, no. 6, p. 772.

    Article  Google Scholar 

  8. Yilmaz, B., Ayik, S., Abe, Y., et al., Phys. Rev. E, 2008, vol. 77, p. 011121.

    Article  ADS  Google Scholar 

  9. Hofmann, H. and Nix, J.R., Phys. Lett. B, 1983, vol. 122, p. 117.

    Article  ADS  Google Scholar 

  10. Boilley, D. and Lallouet, Y., J. Stat. Phys., 2006, vol. 125, p. 477.

    Article  MathSciNet  ADS  Google Scholar 

  11. Hofmann, H. and Magner, A.G., Phys. Rev. C, 2003, vol. 68, p. 014606.

    Article  ADS  Google Scholar 

  12. Edholm, O. and Leimar, O., Physica A, 1979, vol. 98, p. 313.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to E. G. Pavlova.

Additional information

Original Russian Text © E.G. Pavlova, N.E. Aktaev, I.I. Gonchar, 2012, published in Izvestiya Rossiiskoi Akademii Nauk. Seriya Fizicheskaya, 2012, Vol. 76, No. 10, pp. 1223–1227.

About this article

Cite this article

Pavlova, E.G., Aktaev, N.E. & Gonchar, I.I. Corrections to Kramers’ formula for the fission rate of excited nuclei. Bull. Russ. Acad. Sci. Phys. 76, 1098–1102 (2012). https://doi.org/10.3103/S1062873812080217

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1062873812080217

Keywords

Navigation