Prog. Theor. Phys. Vol. 81 No. 1 (1989) pp. 117-139

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Nuclear Collective Rotation in the SU₃ Model. I

— Semiclassical Rotation —

Shin-ichi Kinouchi, Tetsuo Kammuri^* and Teruo Kishimoto

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

(Received June 17, 1988)

Abstract:

The collective rotation of a nuclear system having the quadrupole-quadrupole interaction is described by the dynamical nuclear field theory (DNFT). We use the one-body harmonic oscillator potential and restrict the discussion to the ΔN = 0 transitions. Energy eigenvalues of the resulting SU₃ Hamiltonian are obtained by using the eigenstates of the cranked harmonic oscillator. Both the low and high spin states are studied by the perturbative DNFT, reproducing successfully the diagonalization results. In spite of the simple rotational spectrum, the nuclear shape is seriously influenced by the rotational disturbances. Similarities with our previous analyses of the pair rotation are pointed out. Especially, the SU₃ rotation in the odd mass system decouples with the particle motion just as the pair rotation does in the single- j limit.

URL : http://ptp.ipap.jp/link?PTP/81/117/
DOI : 10.1143/PTP.81.117

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Citing Article(s) :

Progress of Theoretical Physics Vol. 82 No. 2 (1989) pp. 338-359 :
Collective Vibrations of Spherical Nuclei in Dynamical Nuclear Field Theory

Teruo Kishimoto and Tetsuo Kammuri
Progress of Theoretical Physics Vol. 83 No. 2 (1990) pp. 216-238 :
Nuclear Collective Rotation in the SU₃ Model. II

Shin-ichi Kinouchi, Tetsuo Kammuri and Teruo Kishimoto
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
Progress of Theoretical Physics Vol. 89 No. 6 (1993) pp. 1203-1225 :
Some Aspects of Cranked Harmonic Oscillator Model

Shin-ichi Kinouchi, Teruo Kishimoto, Takayuki Kubo, Hideo Sakamoto and Tetsuo Kammuri
Progress of Theoretical Physics Vol. 91 No. 1 (1994) pp. 27-47 :
Rapidly Rotating Nuclei in the SU₃ Model

Tetsuo Kammuri

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