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Prog. Theor. Phys. Vol. 80 No. 4 (1988) pp. 663-677

[ Full Text PDF : FREE ACCESS (790K) ]

Systematic Construction Method of Multi-Cluster Pauli-Allowed States

Kiyoshi Katō, Kimikatsu Fukatsu and Hajime Tanaka

Department of Physics, Hokkaido University, Sapporo 060

(Received May 20, 1988)

Abstract:

We review the projection method to construct systematically the Pauli-allowed states of multi-cluster systems with the use of the concept of the SU(3) fractional parentage coefficients. Applying the projection method, we obtain the Pauli-allowed states of 4α and 5α systems. In certain cases in which the system includes non-α clusters or core+nα, we show that the projection method proposed by Horiuchi should be generalized to obtain the correct Pauli-allowed states. Using an advanced form of the projection method, we obtain the Pauli-allowed states of α+ 3N + N, 2α+ 3N + N, 12C + 3α and 16O+3α systems. In order to construct the pauli-allwed states with higher harmonic oscillator quanta, we propose a useful method with the help of the raising operators in the Sp(6,R) group with respect to degrees of freedom of relative motion between clusters.


URL : http://ptp.ipap.jp/link?PTP/80/663/
DOI : 10.1143/PTP.80.663

[ Full Text PDF : FREE ACCESS (790K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 81 No. 4 (1989) pp. 738-742 :
    Three-Alpha Potential in 3 α and 4 α Orthogonality Condition Models
    Kimikatsu Fukatsu, Kiyoshi Katō and Hajime Tanaka
  2. Progress of Theoretical Physics Vol. 87 No. 1 (1992) pp. 151-167 :
    The 4α Orthogonality Condition Model for Low-Lying 0+ States of 16O
    Kimikatsu Fukatsu and Kiyoshi Katō
  3. Progress of Theoretical Physics Vol. 96 No. 3 (1996) pp. 575-595 :
    6He as a Three-Cluster System
    Gennady F. Filippov, Kiyoshi Katō and Sergei V. Korennov

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