HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 83 (1990) > Number 2
| Next Article >

Prog. Theor. Phys. Vol. 83 No. 2 (1990) pp. 216-238

[ Full Text PDF : FREE ACCESS (997K) ]

Nuclear Collective Rotation in the SU3 Model. II

— Quantal Rotation for a Triaxial Configuration —

Shin-ichi Kinouchi, Tetsuo Kammuri* and Teruo Kishimoto

Institute of Physics, University of Tsukuba, Tsukuba 305
*Department of Physics, Osaka University, Toyonaka 560

(Received May 11, 1989)

Abstract:

The collective rotation of a nuclear system with the SU3 Hamiltonian is described by the quantal dynamical nuclear field theory. An angular frequency in the Coriolis interaction of the driving Hamiltonian is replaced by a total angular momentum operator divided by the corresponding moment of inertia. We consider here the low spin states for a triaxial intrinsic configuration. The rotational effect is taken into account by using the effective quadrupole and angular momentum operators, whose expressions are different depending on whether they refer to the laboratory frame or the body-fixed one. Effective forms of the total Hamiltonian and the particle angular momentum are compared with the exact SU3 energy and the rotor's angular momentum, respectively. In order to reduce the disagreement for the effective operators, the perturbing interaction should be supplemented by a residual part of the quadrupole-quadrupole interaction, which restores the rotational invariance of the intrinsic Hamiltonian.


URL : http://ptp.ipap.jp/link?PTP/83/216/
DOI : 10.1143/PTP.83.216

[ Full Text PDF : FREE ACCESS (997K) ] Citation:

References:

  1. D. R. Inglis, Phys. Rev. 96 (1954), 1059[APS]; ibid. 97 (1955), 701[APS].
  2. I. Hamamoto, Nucl. Phys. A271 (1976), 15.
  3. I. Hamamoto and H. Sagawa, Nucl. Phys. A327 (1979), 99.
    I. Hamamoto, Phys. Lett. 102B (1981), 225; ibid. 106B (1981), 281.
    I. Hamamoto and Z. Xing, Physica Scripta 33 (1986), 210.
  4. A. Bohr and B. R. Mottelson, Nuclear Structure, Vol. 2 (Benjamin, New York, 1975), p. 88, App. 4A.
  5. J. Almberger, I. Hamamoto and G. Leander, Nucl. Phys. A333 (1980), 184.
    A. Bohr and B. R. Mottelson, Physica Scripta 22 (1980), 461.
  6. S.-I. Kinouchi, T. Kammuri and T. Kishimoto, Prog. Theor. Phys. 81 (1989), 117[PTP].
  7. G. Ripka, J. P. Blaizot and N. Kassis, Heavy-Ion, High-Spin States and Nuclear Structure, Vol. 1 (IAEA, Vienna, 1975), p. 445.
  8. V. Alessandrini, D. R. Bes and B. Machet, Nucl. Phys. B142 (1978), 489.
    D. R. Bes, G. G. Dussel and R. P. J. Perazzo, Nucl. Phys. A340 (1980), 157.
    D. R. Bes, O. Civitarese and H. M. Sofia, Nucl. Phys. A370 (1981), 99.
    D. R. Bes, M. T. Mehr and R. J. Liotta, Nucl. Phys. A449 (1986), 459.
  9. T. Kishimoto and T. Kammuri, Prog. Theor. Phys. 74 (1985), 1245[PTP].
  10. R. J. Turner and T. Kishimoto, Nucl. Phys. A217 (1973), 317.
  11. J. P. Elliott and T. H. R. Skyrme, Proc. R. Soc. London A232 (1955), 561.
    T. H. R. Skyrme, Proc. Phys. Soc. London A70 (1956), 433; Proc. R. Soc. London A239 (1957), 399.
    See also S. Garthenhaus and C. Schwarz, Phys. Rev. 108 (1957), 482[APS].
    R. Kuchta, Phys. Lett. 212B (1988), 264.
  12. A. L. Goodman, Nucl. Phys. A325 (1979), 171.
  13. P. Arve, Nucl. Phys. A448 (1986), 79.
  14. S.-I. Kinouchi, Ph. D. Thesis, University of Tsukuba (1988).

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 83 No. 4 (1990) pp. 766-778 :
    Nuclear Collective Rotation in the SU3 Model. III
    Shin-ichi Kinouchi, Tetsuo Kammuri and Teruo Kishimoto
  2. Progress of Theoretical Physics Vol. 91 No. 1 (1994) pp. 27-47 :
    Rapidly Rotating Nuclei in the SU3 Model
    Tetsuo Kammuri

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

Copyright © Progress of Theoretical Physics 2013 All rights reserved.