Skip to main content
Log in

Angular distribution of fission fragments of excited compound nuclei in multidimensional Langevin dynamics

  • Nuclei
  • Theory
  • Published:
Physics of Atomic Nuclei Aims and scope Submit manuscript

Abstract

Angular distributions of fission fragments were calculated within a multidimensional approach to the fission dynamics of excited nuclei, and the results of these calculations are presented. The evolution of the shape parameters of a fissile nucleus was described by the set of three-dimensional Langevin equations for collective coordinates introduced on the basis of the {c, h, a} parametrization. The evolution of the orientation degree of freedom (K mode, K being the projection of the total angular momentum on the symmetry axis of the nucleus under study) was described with the aid of the Langevin equation in an overdampedmode. The coupled Langevin equations for the shape and K-mode collective coordinates were integrated simultaneously. The friction parameter for the K mode was set to 0.077 (MeV × 10−21 s)−1/2, which is the estimate obtained previously for this quantity in calculating angular distributions of excited compound nuclei with allowance for the effects of the orientation degree of freedom. The developed model was used to analyze the anisotropy of angular distribution of fission fragments in 16O+208Pb, 16O+232Th, and 16O + 238U reactions over a broad interval of projectile-ion energies. The results of the calculations show that the developedmodel, usedwith the above value of the friction parameter for theK mode, leads to a rather good description of experimental data on the anisotropy of angular distributions of fission fragments. The effect of the dimensionality of the dynamicalmodel used to describe the evolution of the shape of a fissile nucleus on the results obtained by calculating the anisotropy of angular distributions is discussed.

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. I. Halpern and V. M. Strutinsky, in Proceedings of the Second United Nations International Conference on the Peaceful Uses of Atomic Energy (Geneva, 1958), Vol. 15, p. 408.

    Google Scholar 

  2. R. Vandenbosch and J. R. Huizenga, Nuclear Fission (Academic, New York, 1973).

    Google Scholar 

  3. L. C. Vaz and J. M. Alexander, Phys. Rep. 97, 1 (1983).

    Article  ADS  Google Scholar 

  4. P. D. Bond, Phys. Rev. C 32, 471 (1985).

    Article  ADS  Google Scholar 

  5. P. D. Bond, Phys. Rev. C 32, 483 (1985).

    Article  ADS  Google Scholar 

  6. H. H. Rossner, J. R. Huizenga, and W. U. Schröder, Phys. Rev. Lett. 53, 38 (1984).

    Article  ADS  Google Scholar 

  7. H. H. Rossner, J. R. Huizenga, and W. U. Schröder, Phys. Rev. C 33, 560 (1986).

    Article  ADS  Google Scholar 

  8. B. John and S. K. Kataria, Phys. Rev. C 57, 1337 (1998).

    Article  ADS  Google Scholar 

  9. Y. Jia and J.-D. Bao, Phys. Rev. C 75, 034601 (2007).

    Article  ADS  Google Scholar 

  10. R. Freifelder, M. Prakash, and J. M. Alexander, Phys. Rep. 133, 315 (1986).

    Article  ADS  Google Scholar 

  11. V. A. Drozdov, D.O. Eremenko, O. V. Fotina, et al., in Tours Symp. on Nucl. Phys. V, AIP Conf. Proc. 704, 130 (2004).

    ADS  Google Scholar 

  12. D. O. Eremenko, V. A. Drozdov, M. H. Eslamizadex, et al., Phys. At. Nucl. 69, 1423 (2006).

    Article  Google Scholar 

  13. A. V. Karpov, R. M. Hiryanov, A. V. Sagdeev, and G. D. Adeev, J. Phys. G 34, 255 (2007).

    Article  ADS  Google Scholar 

  14. R. M. Hiryanov, A. V. Karpov, and G. D. Adeev, Yad. Fiz. 71, 1389 (2008) [Phys. At. Nucl. 71, 1361 (2008)].

    Google Scholar 

  15. T. Døssing and J. Randrup, Nucl. Phys. A 433, 215 (1985).

    Article  ADS  Google Scholar 

  16. T. Døssing and J. Randrup, Nucl. Phys. A 433, 280 (1985).

    Article  ADS  Google Scholar 

  17. J. P. Lestone, Phys. Rev. C 59, 1540 (1999).

    Article  ADS  Google Scholar 

  18. J. P. Lestone and S. G. McCalla, Phys. Rev. C 79, 044611 (2009).

    Article  ADS  Google Scholar 

  19. J. P. Lestone, A. A. Sonzogni, M. P. Kelly, and R. Vandenbosch, J. Phys. G 23, 1349 (1997).

    Article  ADS  Google Scholar 

  20. M. Brack, J. Damgaard, A. S. Jensen,et al., Rev.Mod. Phys. 44, 320 (1972).

    Article  ADS  Google Scholar 

  21. S. Pal, G. Chaudhuri, and J. Sadhukhan, Nucl. Phys. A 808, 1 (2008).

    Article  ADS  Google Scholar 

  22. H. J. Krappe, in Proceedings of the XIII Meeting on Physics of Nuclear Fission in Memory of Prof. G. N. Smirenkin, Obninsk, 1995, Ed. by B. D. Kuzminov (SSCRF-IPPE, Obninsk, 1995), p. 134.

    Google Scholar 

  23. G. D. Adeev, A. V. Karpov, P. N. Nadtochy, and D. V. Vanin, Fiz. Élem. Chastits At. Yadra 36, 732 (2005) [Phys. Part. Nucl. 36, 378 (2005)].

    Google Scholar 

  24. R. W. Hasse and W. D. Myers, Geometrical Relationships of Macroscopic Nuclear Physics (Springer-Verlag, Heidelberg, 1988).

    Book  Google Scholar 

  25. P. N. Nadtochy and G. D. Adeev, Phys. Rev. C 72, 054608 (2005).

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  27. C. W. Gardiner, Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences (Springer, Berlin, 1985; Mir, Moscow, 1986).

    Google Scholar 

  28. A. V. Ignatyuk, M. G. Itkis, V. N. Okolovich, et al., Yad. Fiz. 21, 1185 (1975) [Sov. J. Nucl. Phys. 21, 612 (1975)].

    Google Scholar 

  29. W. D. Myers and W. J. Swiatecki, Ark. Phys. 36, 343 (1967).

    Google Scholar 

  30. H. J. Krappe, J. R. Nix, and A. J. Sierk, Phys. Rev.C 20, 992 (1979).

    Article  ADS  Google Scholar 

  31. A. J. Sierk, Phys. Rev. C 33, 2039 (1986).

    Article  ADS  Google Scholar 

  32. K. T. R. Davies, A. J. Sierk, and J. R. Nix, Phys.Rev. C 13, 2385 (1976).

    Article  ADS  Google Scholar 

  33. I. Kelson, Phys. Rev. 136, B1667 (1964).

    Article  ADS  Google Scholar 

  34. J. Blocki, Y. Boneh, J. R. Nix, et al., Ann. Phys. (N.Y.) 113, 330 (1978).

    Article  ADS  Google Scholar 

  35. A. V. Karpov, P. N. Nadtochy, D. V. Vanin, and G. D. Adeev, Phys. Rev. C 63, 054610 (2001).

    Article  ADS  Google Scholar 

  36. P. N. Nadtochy, G. D. Adeev, and A. V. Karpov, Phys. Rev. C 65, 064615 (2002).

    Article  ADS  Google Scholar 

  37. P. N. Nadtochy, A. V. Karpov, and G. D. Adeev, Yad. Fiz. 65, 832 (2002) [Phys. At. Nucl. 65, 799 (2002)].

    Google Scholar 

  38. J. R. Nix and A. J. Sierk, in Proceedings of the International School-Seminar on Heavy Ion Physics, Dubna, USSR, 1986, Ed. by M. I. Zarubina and E. V. Ivashkevich (JINR, Dubna, 1987), p. 453.

    Google Scholar 

  39. J. R. Nix and A. J. Sierk, in Proceedings of the 6th Adriatic Conference on Nuclear Physics: Frontiers of Heavy Ion Physics, Dubrovnik, Yugoslavia, 1987, Ed. by N. Cindro, R. Caplar, and W. Greiner (World Sci., Singapore, 1990), p. 333.

    Google Scholar 

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

    Article  ADS  Google Scholar 

  41. D. J. Higham, SIAM Rev. 43, 525 (2001).

    Article  MathSciNet  MATH  ADS  Google Scholar 

  42. V. M. Strutinsky, N. Ya. Lyashchenko, and N. A. Popov, Nucl. Phys. 46, 639 (1963).

    Article  Google Scholar 

  43. N. D. Mavlitov, P. Fröbrich, and I. I. Gontchar, Z. Phys. A 342, 195 (1992).

    Article  ADS  Google Scholar 

  44. K. T. R. Davies and J. R. Nix, Phys. Rev. C 14, 1977 (1976).

    Article  ADS  Google Scholar 

  45. B. B. Back, R. R. Betts, J. E. Gindler, et al., Phys. Rev. C 32, 195 (1985).

    Article  ADS  Google Scholar 

  46. A. E. Gegechkori and G. D. Adeev, Izv. Vyssh. Uchebn. Zaved., Fiz. 52(11/2), 63 (2009).

    Google Scholar 

  47. E. G. Ryabov, A. V. Karpov, P. N. Nadtochy, and G. D. Adeev, Phys. Rev. C 78, 044614 (2008).

    Article  ADS  Google Scholar 

  48. A. E. Gegechkori, Yu. A. Anishchenko, P. N. Nadtochy, and G. D. Adeev, Yad. Fiz. 71, 2041 (2008) [Phys. At. Nucl. 71, 2007 (2008)].

    Google Scholar 

  49. Yu. A. Anishchenko, A. E. Gegechkori, P. N. Nadtochy, and G. D. Adeev, Yad. Fiz. 72, 2056 (2009) [Phys. At. Nucl. 72, 2005 (2009)].

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. E. Gegechkori.

Additional information

Original Russian Text © A.E. Gegechkori, G.D. Adeev, 2011, published in Yadernaya Fizika, 2011, Vol. 74, No. 1, pp. 3–12.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gegechkori, A.E., Adeev, G.D. Angular distribution of fission fragments of excited compound nuclei in multidimensional Langevin dynamics. Phys. Atom. Nuclei 74, 1–10 (2011). https://doi.org/10.1134/S1063778811010029

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063778811010029

Keywords

Navigation