HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 44 (1970) > Number 2
| Next Article >

Prog. Theor. Phys. Vol. 44 No. 2 (1970) pp. 389-412

[ Full Text PDF : FREE ACCESS (1470K) ]

Adiabatic Theory of Fission

Kohichi Ohta

Institute of Physics, College of General Education, University of Tokyo, Tokyo

(Received March 5, 1970)

Abstract:

Assuming that the fission process from the saddle point to the scission point is adiabatic with respect to the degrees of freedom of elongation and rotation of the nucleus as a whole, and that the state wave function remains a quasi-particle vacuum throughout the process, the time dependent Hartree-Fock-Bogolyubov theory is developed. A representation of the nucleon destruction operator in terms of the fragment single particle wave functions is introduced, which is suitable for the description of the density localization of the nucleus. Furthermore, it is assumed that the nascent fragments interact through the exchange of the valence nucleons near the Fermi energy and that the remaining nucleons form inert closed cores of the fragments. A simple model of the equations of motion for the density matrices is solved, and it is shown that the valence nucleon system has an asymmetric oscillation mode which leads to asymmetric mass divisions of the nucleus.


URL : http://ptp.ipap.jp/link?PTP/44/389/
DOI : 10.1143/PTP.44.389

[ Full Text PDF : FREE ACCESS (1470K) ] Citation:

References:

  1. A. Bohr, Proceedings of the International Conference on the Peaceful Uses of Atomic Energy, Geneva, 1955, Vol. 2, p. 151.
  2. P. Fong, Phys. Rev. 102 (1956), 434[APS]; ibid. 135 (1964), B1338[APS]; Phys. Rev. Lett. 11 (1963), 375[APS]; Statistical Theory of Nuclear Fission (Gordon and Breach, Inc., New York, 1969).
  3. I. Kelson, Phys. Rev. Lett. 20 (1968), 867[APS].
  4. A. Brandt and I. Kelson, Phys. Rev. 183 (1969), 1025[APS].
  5. J. J. Griffin, Phys. Rev. Lett. 21 (1968), 826[APS].
  6. D L. Hill and J. A. Wheeler, Phys. Rev. 89 (1953), 1102[APS].
  7. R. W. Fuller, Phys. Rev. 126 (1962), 684[APS].
  8. I. Helpern, Proceedings of the Symposium on Physics and Chemistry of Fission, Salzburg, 1965, Vol. 2, p. 369.
  9. J. Terrell, Proceedings of the Symposium on Physics and Chemistry of Fission, Salzburg, 1965, Vol. 2, p. 3.
  10. E. E. Maslin, A. L. Rodgers and W. G. F. Core, Phys. Rev. 164 (1967), 1520[APS].
  11. J. C. D. Milton and J. S. Fraser, Proceedings of the Symposium on Physics and Chemistry of Fission, Salzburg, 1965, Vol. 2, p. 39.
  12. H. W. Schmitt, H. Neiler and F. J. Walter, Phys. Rev. 141 (1966), 1146[APS].
  13. M. J. Benett and W. E. Stein, Phys. Rev. 156 (1967), 1277[APS].
  14. H. R. Bowman, J. C. D. Milton, S. G. Thompson and W. J. Swiatecki, Phys. Rev. 129 (1963), 2133[APS].
  15. R. Vandenbosch, Nucl. Phys. 46 (1963), 129[CrossRef].
  16. A. V. Ignatyuk, Yadern. Fiz. 7 (1968), 1043.
  17. F. Dickmann and K. Dietrich, Nucl. Phys. A 129 (1969), 241[CrossRef].
  18. V. M. Strutinsky, Nucl. Phys. A 95 (1967), 420[CrossRef]; ibid. 122 (1968), 1[CrossRef].
  19. C. Gustafson, I. L. Lamm, B. Nilsson and S. G. Nilsson, Ark. Fysik 36 (1967), 613.
  20. S. G. Nilsson, J. R. Nix, A. Sobiscewski, Z. Szymanski, S. Wycech, C. Gustafson and P. Möller, Nucl. Phys. A 115 (1968), 545[CrossRef].
  21. S. G. Nilsson, S. G. Thompson and C. F. Tsang, Phys. Lett. B 28 (1969), 468[CrossRef].
  22. B. Nilsson, Nucl. Phys. A 129 (1969), 445[CrossRef].
  23. S. G. Nilsson, C. F. Tsang, A. Sobiscewski, Z. Szymanski, S. Wycech, C. Gustafson, I. L. Lamm, P. Möller and B. Nilsson, Nucl. Phys. A 131 (1969), 1[CrossRef].
  24. P. Möller, S. G. Nilsson, A. Sobiczewski, Z. Szymanski and Wycech, Phys. Lett. B 30 (1969), 223[CrossRef].
  25. U. Mosel and W. Greiner, Z. Phys. 22 (1969), 261.
  26. J. Bennewitz and P. Haug, Z. Phys. 212 (1968), 295.
  27. V. M. Strutinsky and S. Bjørnholm, Proceedings of the International Symposium on Nuclear Structure, Dubna, 1968, p. 431.
  28. P. A. Cherdantsev and V. E. Marsharkin, Izv. Akad. Nauk SSSR 30 (1966), 341.
  29. C. Y. Wong, Phys. Lett. B 30 (1969), 61[CrossRef].
  30. P. Holzer, U. Mosel and W. Greiner, Nucl. Phys. A 138 (1969), 241[CrossRef].
  31. D. R. Inglis, Ann. of Phys. 5 (1958), 106[CrossRef].
  32. H. Faissner and K. Wildermuth, Nucl. Phys. 58 (1964), 177[CrossRef].
    K. Wildermuth and W. McClure, Springer Tracts in Modern Physics (Springer-Verlag, Berlin, 1966), Vol. 41.
    H. Faissner, Z. Naturforsch. a 21 (1966), 1021.
  33. W. Nörenberg, Z. Phys. 197 (1966), 246.
    N. Rösch, Z. Phys. 215 (1968), 368.
  34. S. T. Belyaev, Nucl. Phys. 64 (1965), 17[CrossRef].
  35. A Bohr, Proceedings of the International Symposium on Nuclear Structure, Dubna, 1968, p. 179.
  36. A. Bohr and B. R. Mottelson, Nuclear Structure (W. A. Benjamin, Inc., New York, 1969), Vol. 1.
  37. J. R. Nix and W. J. Swiatecki, Nucl. Phys. 71 (1965), 1[CrossRef].
  38. J. R. Nix, Report UCRL-17958 (July 1, 1968) unpublished; Nucl. Phys. A 130 (1969), 241[CrossRef].
  39. C. Bloch and A. Messiah, Nucl. Phys. 39 (1962), 95[CrossRef].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 45 No. 1 (1971) pp. 70-84 :
    Octupole Vibrations of Fissioning Nuclei
    Kohichi Ohta
  2. Progress of Theoretical Physics Vol. 45 No. 5 (1971) pp. 1493-1514 :
    Phase Transitions in Nuclear Fission. I
    Kohichi Ohta
  3. Progress of Theoretical Physics Vol. 47 No. 5 (1972) pp. 1563-1592 :
    Phase Transitions in Nuclear Fission. II
    Kohichi Ohta
  4. Progress of Theoretical Physics Vol. 47 No. 6 (1972) pp. 1844-1857 :
    A Possible Interpretation of Collective Modes in Fission Process
    Hiroshi Kuratsuji

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.