HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 70 (1983) > Number 6
| Next Article >

Prog. Theor. Phys. Vol. 70 No. 6 (1983) pp. 1599-1623

[ Full Text PDF : FREE ACCESS (938K) ]

WKB Treatment of Boson Hamiltonian of Inter-Nucleus Interaction

Hisashi Horiuchi, Kaoru Aoki, Takahiro Wada and Kazuhiro Yabana

Department of Physics, Kyoto University, Kyoto 606

(Received July 14, 1983)

Abstract:

By treating the inter-nucleus interaction process in the framework of the generator coordinate method, we can obtain the Boson Hamiltonian for the relative motion, where the Boson operators are arranged in normal order. When the WKB approximation is applied to this Boson Hamiltonian by expanding the action S as S=S0+ \hbarS1+ …, we get for S0 the same equation as that obtained by the method of the moving wave packet. However, the local momentum should not be determined by this equation. This is because S1 contains the real part and therefore the local momentum should be calculated from S0+ \hbarReS1. This renormalization from ReS1 is found to make the results similar to the WKB results obtained by utilizing the Wigner transforms of the non-local interactions of the resonating group method. The appearance of the renormalization by ReS1 is due to the normal ordering of the Boson operators which makes the Boson Hamiltonian contain the odd power terms of the momentum operator. References


URL : http://ptp.ipap.jp/link?PTP/70/1599/
DOI : 10.1143/PTP.70.1599

[ Full Text PDF : FREE ACCESS (938K) ] Citation:

References:

  1. K. Aoki and H. Horiuchi, Prog. Theor. Phys. 66 (1981), 1508[PTP]; ibid. 66 (1981), 1903[PTP]; ibid. 67 (1982), 1236[PTP].
  2. K. Aoki and H. Horiuchi, Prog. Theor. Phys. 68 (1982), 1658[PTP].
  3. K. Aoki and H. Horiuchi, Prog. Theor. Phys. 68 (1982), 2028[PTP]; ibid. 69 (1983), 857[PTP].
  4. H. Horiuchi, K. Aoki and T. Wada, Proc. 1983 RCNP. Int. Symp. on Light Ion Reaction Mechanism, Osaka (1983), p. 806.
  5. H. Horiuchi, Prog. Theor. Phys. 64 (1980), 184[PTP].
  6. G. R. Satchler and W. G. Love, Phys. Rep. 55 (1979), 183[CrossRef].
    C. B. Dover and J. P. Vary, Proc. Symp. on Classical and Quantum Mechanical Aspects of Heavy Ion Collisions, Heidelberg, 1974, eds. H.L. Harney et al., Lecture Notes in Physics 33 (Springer, Berlin), p. 1.
    M. Lassaut and N. Vinh Mau, Nucl. Phys. A 349 (1980), 372[CrossRef].
    N. Vinh Mau, Phys. Lett. B 71 (1977), 5[CrossRef].
  7. H. Horiuchi, Prog. Theor. Phys. 69 (1983), 886[PTP].
  8. Y. C. Tang. M. LeMere and D. R. Thompson, Phys. Rep. 47 (1978), 167[CrossRef].
  9. K. Aoki and H. Horiuchi, Prog. Theor. Phys. 69 (1983), 1154[PTP].
  10. T. Fliessbach, Z. Phys. 247 (1971), 117.
  11. G. H. Göritz and U. Mosel. Z. Phys. A 277 (1976), 243.
    P. G. Zint, Z. Phys. A 281 (1977), 373.
  12. D. M. Brink and F. Stancu, Nucl. Phys. A 243 (1975), 175[CrossRef].
    T. Izumoto, S. Krewald and A. Faessler, Nucl. Phys. A 341 (1980), 319[CrossRef].
  13. H. Horiuchi, Prog. Theor. Phys. 55 (1976), 1448[PTP].
  14. H. Horiuchi, Prog. Theor. Phys. Suppl. No. 62 (1977), 90[PTP].
  15. H. Ui and L. C. Biedenharn, Phys. Lett. B 27 (1968), 608[CrossRef].
  16. D. Brink and A. Weiguny, Nucl. Phys. A 120 (1968), 59[CrossRef].
  17. V. Bargmann, Comm. Pure and Appl. Math. 14 (1961), 187.
  18. S. S. Schweber, J. Math. Phys. 3 (1962), 831[CrossRef].
  19. R. J. Glauber, Phys. Rev. 131 (1963), 2766[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 72 No. 3 (1984) pp. 666-669 :
    Anharmonicities of the Double Gamma-Vibrational States in 168Er
    Masayuki Matsuo
  2. Progress of Theoretical Physics Vol. 73 No. 1 (1985) pp. 292-296 :
    WKB Method in Boson Representation
    Kazuhiro Yabana and Shinji Iida
  3. Progress of Theoretical Physics Vol. 73 No. 5 (1985) pp. 1172-1190 :
    Microscopic Study of the Dependence of the Light Ion Potential on the Projectile Mass Number
    Hisashi Horiuchi
  4. Progress of Theoretical Physics Vol. 74 No. 6 (1985) pp. 1227-1244 :
    Microscopic Description of Anharmonic Gamma-Vibrations by Means of the Selfconsistent-Collective-Coordinate Method. I
    Masayuki Matsuo and Kenichi Matsuyanagi
  5. Progress of Theoretical Physics Vol. 75 No. 3 (1986) pp. 592-618 :
    Adiabatic Viewpoint for the WKB Treatment of Coupled Channel System
    Kazuhiro Yabana and Hisashi Horiuchi

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

Copyright © Progress of Theoretical Physics 2013 All rights reserved.