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Prog. Theor. Phys. Vol. 66 No. 5 (1981) pp. 1639-1650

[ Full Text PDF : FREE ACCESS (508K) ]

Basic Rotational Band and Band Mixing in the Cranking Model

Yoshihide Tanaka and Shota Suekane

Department of Physics, Osaka City University, Osaka 558

(Received April 22, 1981)

Abstract:

A new method is proposed in order to avoid the strange behaviour of the solution of the HFBC model in the band crossing region. For this purpose, the intrinsic states in a rotating nucleus are defined by excluding the interaction between basic rotational bands from the original cranked Hamiltonian, which are defined in the text. The basic rotational bands are constructed from the intrinsic states by using the condition of the angular momentum constraint and cross each other without mixing of the intrinsic states caused by rotation. The real rotational band bearing all of the effects of rotation is obtained by diagonalizing the Hamiltonian of the particle-rotor model rotating about the x-axis by using the states with the same angular momentum of the basic rotational bands. In the diagonalization, the basic zero-quasiparticle band and the lowest basic one-quasiparticle one-quasihole band are used. The resulting yrast band shows clearly the backbending.


URL : http://ptp.ipap.jp/link?PTP/66/1639/
DOI : 10.1143/PTP.66.1639

[ Full Text PDF : FREE ACCESS (508K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 67 No. 5 (1982) pp. 1637-1640 :
    Rotational Frequency Dependence of Gamma Vibration and Pairing Potential in 164Er
    Yoshifumi R. Shimizu and Kenichi Matsuyanagi
  2. Progress of Theoretical Physics Vol. 67 No. 5 (1982) pp. 1641-1644 :
    High-Spin Anomaly of Gamma Band and Rotation-Alignment Effects in 164Er
    Yoshifumi R. Shimizu and Kenichi Matsuyanagi
  3. Progress of Theoretical Physics Vol. 68 No. 3 (1982) pp. 808-819 :
    Spin Alignment and Collective Moment of Inertia of the Basic Rotational Band in the Cranking Model
    Yoshihide Tanaka
  4. Progress of Theoretical Physics Vol. 70 No. 1 (1983) pp. 144-162 :
    An Extension of the Rotating Shell Model and Its Application to 164Er
    Yoshifumi R. Shimizu and Kenichi Matsuyanagi
  5. Progress of Theoretical Physics Vol. 70 No. 1 (1983) pp. 319-321 :
    Residual Interactions between Aligned Quasiparticles and Pairing Deformation Changes in 165,166Yb and 164Er
    Yoshifumi R. Shimizu and Kenichi Matsuyanagi
  6. Progress of Theoretical Physics Vol. 72 No. 4 (1984) pp. 799-812 :
    Interplay of Gamma-Vibrations and Aligned-Quasiparticles at High-Spin Yrast Region
    Yoshifumi R. Shimizu and Kenichi Matsuyanagi
  7. Progress of Theoretical Physics Vol. 74 No. 6 (1985) pp. 1346-1348 :
    Diabatic Quasiparticle Representation for Rotating Shell Model
    Yoshifumi R. Shimizu and Kenichi Matsuyanagi
  8. Progress of Theoretical Physics Vol. 98 No. 5 (1997) pp. 1099-1121 :
    Tilted Axis Cranking Applied to a System of One-Quasiparticle Coupled to a Triaxial Rotor
    Shin-Ichi Ohtsubo and Yoshifumi R. Shimizu
  9. Progress of Theoretical Physics Supplement No.141 (2001) pp. 1-111 :
    Nonlinear Dynamics of Nuclear Collective Motion
    Fumihiko Sakata, Toshio Marumori, Yukio Hashimoto and Shi-Wei Yan
  10. Progress of Theoretical Physics Supplement No.141 (2001) pp. 285-327 :
    Diabatic Mean-Field Description of Rotational Bands in Terms of the Selfconsistent Collective Coordinate Method
    Yoshifumi R. Shimizu and Kenichi Matsuyanagi

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