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Prog. Theor. Phys. Vol. 63 No. 3 (1980) pp. 895-918

[ Full Text PDF : FREE ACCESS (1496K) ]

Generator Coordinate Theory of Normalization Kernels of Cluster Systems. I

Yoshikazu Fujiwara and Hisashi Horiuchi*

Research Institute for Fundamental Physics, Kyoto University, Kyoto 606
*Department of Physics, Kyoto University, Kyoto 606

(Received May 12, 1979)

Abstract:

SU3-scalar property of normalization kernels of cluster systems is investigated by transforming the kernel into the generator coordinate space. This investigation gives us a very powerful method to solve the eigen-value problem of normalization kernels.
General explicit formulas giving the solutions of the eigen-value problem of the normalization kernels are presented for the systems which can be specified by two generator-coordinate vectors such as 12C+16C and 16C+α+α: Systems specified by two generator coordinates are classified into either the two-cluster systems containing one SU3-non-scalar cluster belonging to (Λ,0) or (0,Λ) representation, or the three SU3-scalar cluster systems.


URL : http://ptp.ipap.jp/link?PTP/63/895/
DOI : 10.1143/PTP.63.895

[ Full Text PDF : FREE ACCESS (1496K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 65 No. 5 (1981) pp. 1632-1666 :
    Generator Coordinate Theory of Normalization Kernels of Cluster Systems. II
    Yoshikazu Fujiwara and Hisashi Horiuchi
  2. Progress of Theoretical Physics Vol. 65 No. 6 (1981) pp. 1901-1927 :
    Generator Coordinate Theory of Normalization Kernels of Cluster Systems. III
    Yoshikazu Fujiwara and Hisashi Horiuchi
  3. Progress of Theoretical Physics Vol. 70 No. 3 (1983) pp. 809-826 :
    Generator Coordinate Theory of Normalization Kernels of Cluster Systems. IV
    Yoshikazu Fujiwara, Y. C. Tang and Hisashi Horiuchi
  4. Progress of Theoretical Physics Vol. 72 No. 6 (1984) pp. 1277-1281 :
    Pauli-Forbidden Region in the Phase-Space of Coupled-Channel System in the Framework of the Time-Dependent Variational Theory
    Hisashi Horiuchi and Kazuhiro Yabana
  5. Progress of Theoretical Physics Vol. 75 No. 6 (1986) pp. 1377-1387 :
    Overlaps of Sp(6,R) States with Multi-Cluster States
    Yasuyuki Suzuki
  6. Progress of Theoretical Physics Vol. 80 No. 3 (1988) pp. 477-487 :
    An Sp(6,R) Approach to Costructing Multi-Cluster Pauli-Allowed States
    Shigehiro Hara and Yasuyuki Suzuki
  7. Progress of Theoretical Physics Vol. 80 No. 4 (1988) pp. 663-677 :
    Systematic Construction Method of Multi-Cluster Pauli-Allowed States
    Kiyoshi Katō, Kimikatsu Fukatsu and Hajime Tanaka

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