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Angular distributions of fragments originating from the spontaneous fission of oriented nuclei and problem of the conservation of the spin projection onto the symmetry axis of a fissile nucleus

  • Nuclei
  • Theory
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Abstract

The concept of transition fission states, which was successfully used to describe the angular distributions of fragments for the spontaneous and low-energy induced fission of axisymmetric nuclei, proves to be correct if the spin projection onto the symmetry axis of a fissile nucleus is an integral of the motion for the external region from the descent of the fissile nucleus from the external fission barrier to the scission point. Upon heating a fissile nucleus in this region to temperatures of T ≈ 1 MeV (this is predicted by many theoretical models of the fission process), the Coriolis interaction uniformly mixes the possible projections of the fissile-nucleus spin for the case of low spin values, this leading to the loss of memory about transition fission states in the asymptotic region where the angular distributions of fragments are formed. Within quantum-mechanical fission theory, which takes into account deviations from A. Bohr’s formula, the angular distributions of fragments are calculated for spontaneously fissile nuclei aligned by an external magnetic field at ultralow temperatures, and it is shown that an analysis of experimental angular distributions of fragments would make it possible to solve the problem of spin-projection conservation for fissile nuclei in the external region.

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References

  1. E. J. Winhold, P. T. Demos, and I. Halpern, Phys. Rev. 87, 1139 (1952).

    Article  ADS  Google Scholar 

  2. A. Bohr, in Proceedings of the International Conference on the Peaceful Uses of Atomic Energy (New York, 1956), Vol. 2.

  3. A. Bohr and B. Mottelson, Nuclear Structure, Vol. 2: Nuclear Deformations (Benjamin, New York, 1975; Mir, Moscow, 1977).

    Google Scholar 

  4. V. M. Strutinskii, Yad. Fiz. 3, 614 (1966) [Sov. J. Nucl. Phys. 3, 449 (1966)]; V. M. Strutinsky, Nucl. Phys. A 95, 420 (1967).

    Google Scholar 

  5. J. E. Lynn, Report AERE-R5891 (1968).

  6. H. Weigmann, Z. Phys. 214, 7 (1968).

    Google Scholar 

  7. C. D. Bowman, Phys. Rev. C 12, 856 (1975).

    ADS  Google Scholar 

  8. Yu. B. Ostapenko, G. N. Smirenkin, A. S. Soldatov, and Yu. M. Tsipenyuk, Fiz. Élem. Chastits At. Yadra 12, 1364 (1981) [Sov. J. Part. Nucl. 12, 545 (1981)].

    Google Scholar 

  9. S. G. Kadmensky, Yad. Fiz. 65, 1424 (2002) [Phys. At. Nucl. 65, 1390 (2002)].

    Google Scholar 

  10. S. G. Kadmensky and L. V. Rodionova, Yad. Fiz. 66, 1259 (2003) [Phys. At. Nucl. 66, 1219 (2003)].

    Google Scholar 

  11. S. G. Kadmensky and L. V. Rodionova, Yad. Fiz. (in press).

  12. S. G. Kadmensky, Yad. Fiz. 67, 167 (2004) [Phys. At. Nucl. 67, 170 (2004)].

    Google Scholar 

  13. N. J. Pattenden and H. Postma, Nucl. Phys. A 167, 225 (1971).

    ADS  Google Scholar 

  14. R. Kuiken, N. J. Pattenden, and H. Postma, Nucl. Phys. A 190, 401 (1972).

    ADS  Google Scholar 

  15. W. I. Furman, in Proceedings of FG/OM Spring Session, Geel, Belgium, 1999, p. 248.

  16. G. M. Gurevich et al., in Proceedings of the 53rd International Conference on Nuclear Spectroscopy, St. Petersburg, Russia, 2003, p. 36.

  17. L. Wilets, Theories of Nuclear Fission (Clarendon, Oxford, 1964; Atomizdat, Moscow, 1967).

    Google Scholar 

  18. S. G. Kadmenskii, V. P. Markushev, and V. I. Furman, Yad. Fiz. 35, 300 (1982) [Sov. J. Nucl. Phys. 35, 166 (1982)].

    Google Scholar 

  19. S. G. Kadmenskii, V. P. Markushev, Yu. P. Popov, and V. I. Furman, Yad. Fiz. 39, 7 (1984) [Sov. J. Nucl. Phys. 39, 4 (1984)].

    Google Scholar 

  20. J. R. Nix, Nucl. Phys. A 130, 241 (1969).

    ADS  Google Scholar 

  21. A. V. Ignatyuk, Yad. Fiz. 9, 357 (1969) [Sov. J. Nucl. Phys. 9, 208 (1969)].

    Google Scholar 

  22. M. Brack et al., Rev. Mod. Phys. 44, 320 (1972).

    Article  ADS  Google Scholar 

  23. Y. Bonch and Z. Fraenkel, Phys. Rev. C 10, 893 (1974).

    ADS  Google Scholar 

  24. B. D. Wilkins et al., Phys. Rev. C 14, 1832 (1976).

    Article  ADS  Google Scholar 

  25. V. A. Rubchenya and S. G. Yavshits, Yad. Fiz. 40, 649 (1984) [Sov. J. Nucl. Phys. 40, 416 (1984)].

    Google Scholar 

  26. W. Greiner, J. P. Park, and W. Schield, Nuclear Molecules (World Sci., Singapore, 1995).

    Google Scholar 

  27. T. M. Shneideman et al., Phys. Rev. C 65, 064302 (2002).

  28. G. V. Danilyan et al., Pis’ma Zh. Éksp. Teor. Fiz. 26, 68 (1977) [JETP Lett. 26, 186 (1977)].

    Google Scholar 

  29. A. K. Petukhov, G. A. Petrov, et al., Pis’ma Zh. Éksp. Teor. Fiz. 30, 324 (1979) [JETP Lett. 30, 439 (1979)].

    Google Scholar 

  30. I. Halpern, Nuclear Fission (Fizmatgiz, Moscow, 1962).

    Google Scholar 

  31. O. P. Sushkov and V. V. Flambaum, Usp. Fiz. Nauk 136, 3 (1982) [Sov. Phys. Usp. 25, 1 (1982)].

    Google Scholar 

  32. S. G. Kadmensky, Yad. Fiz. 66, 1739 (2003) [Phys. At. Nucl. 66, 1691 (2003)].

    Google Scholar 

  33. S. G. Kadmensky, Yad. Fiz. 67, 258 (2004) [Phys. At. Nucl. 67, 241 (2004)].

    Google Scholar 

  34. Alpha-, Beta-, and Gamma-ray Spectroscopy, Ed. by K. Siegbahn (North-Holland, Amsterdam, 1968; Atomizdat, Moscow, 1969), Vol. 3.

    Google Scholar 

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Translated from Yadernaya Fizika, Vol. 68, No. 9, 2005, pp. 1491–1500.

Original Russian Text Copyright © 2005 by Kadmensky, Rodionova.

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Kadmensky, S.G., Rodionova, L.V. Angular distributions of fragments originating from the spontaneous fission of oriented nuclei and problem of the conservation of the spin projection onto the symmetry axis of a fissile nucleus. Phys. Atom. Nuclei 68, 1433–1442 (2005). https://doi.org/10.1134/1.2053329

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  • DOI: https://doi.org/10.1134/1.2053329

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