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Prog. Theor. Phys. Vol. 55 No. 5 (1976) pp. 1448-1461

[ Full Text PDF : FREE ACCESS (1146K) ]

Generator Coordinate Theory of Allowed States of Many-Cluster Systems

Hisashi Horiuchi

Department of Physics, Kyoto University, Kyoto 606

(Received October 20, 1975)

Abstract:

Eigenvalue problem of the overlap kernel of many-cluster systems is formulated in the framework of complex generator coordinate theory. Detailed discussion is given for the case of many α systems. The Kato-Bando procedure for treating the many-cluster overlap kernel problem is developed in our framework and its application to 4α system is reported.


URL : http://ptp.ipap.jp/link?PTP/55/1448/
DOI : 10.1143/PTP.55.1448

[ Full Text PDF : FREE ACCESS (1146K) ] Citation:

References:

  1. Proceedings of the INS-IPCR International Symposium on Cluster Structure of Nuclei and Transfer Reactions Induced by Heavy Ions (1975).
  2. H. Horiuchi, Prog. Theor. Phys. 51 (1974), 1266[PTP].
  3. H. Horiuchi, Prog. Theor. Phys. 53 (1975), 447[PTP].
  4. F. Nemoto, Y. Yamamoto, H. Horiuchi, Y. Suzuki and K. Ikeda, Prog. Theor. Phys. 54 (1975), 104[PTP].
  5. R. Tamagaki and H. Tanaka, Prog. Theor. Phys. 34 (1965), 191[PTP].
    S. Okai and S. C. Park, Phys. Rev. 145 (1966), 787[APS].
  6. R. Tamagaki, Prog. Theor. Phys. Suppl. Extra Number (1968), 242[PTP].
  7. S. Saito, Prog. Theor. Phys. 41 (1969), 705[PTP].
  8. H. Horiuchi, Prog. Theor. Phys. 51 (1974), 745[PTP].
  9. H. Horiuchi and Y. Suzuki, Prog. Theor. Phys. 49 (1973), 1974[PTP].
  10. M. Ichimura, A. Arima, E. C. Halbert and T. Terasawa, Nucl. Phys. A 204 (1973), 225[CrossRef].
  11. M. Kamimura and T. Matsuse, Prog. Theor. Phys. 51 (1974), 438[PTP].
  12. K. Kato and H. Bando, Prog. Theor. Phys. 53 (1975), 692[PTP].
  13. B. Jancovici and D. H. Schiff, Nucl. Phys. 58 (1964), 678[CrossRef].
  14. H. Ui and L. C. Biedenharn, Phys. Lett. B 27 (1968), 608[CrossRef].
  15. D. Brink and A. Weiguny, Nucl. Phys. A 120 (1968), 59[CrossRef].
  16. H. Horiuchi, Prog. Theor. Phys. 43 (1970), 375[PTP].
  17. V. Bargmann, Commun. Pure Appl. Math. 14 (1961), 187.
  18. Y. Suzuki, Prog. Theor. Phys. 50 (1973), 341[PTP].
  19. S. S. Schweber, J. Math. Phys. 3 (1962), 831[CrossRef].
  20. R. J. Glauber, Phys. Rev. 131 (1963), 2766[APS].
  21. D. L. Hill and J. A. Wheeler, Phys. Rev. 89 (1953), 1102[APS].
    J. J. Griffin and J. A. Wheeler, Phys. Rev. 108 (1957), 311[APS].
  22. V. C. A. Navarro, M. Moshinsky and W. W. Yeh, Revista Mexicana De Fisica 17 (1968), 241.
    V. C. A. Navarro and M. Moshinsky, Ann. of Phys. 51 (1969), 312[CrossRef].
  23. P. Kramer and M. Moshinsky, Group Theory and Applications ed. E. M. Loebl (Academic Press, New York, 1968) p. 384.
    M. Moshinsky, The Harmonic Oscillator in Modern Physics: From Atoms to Quarks (Gordon and Breach Science Publishers, Inc., New York, 1969).
  24. D. Brink and G. F. Nash, Nucl. Phys. 40 (1963), 608[CrossRef].
  25. Y. Suzuki and K. Ikeda, Prog. Theor. Phys. 51 (1974), 1621[PTP].
    Y. Suzuki, Proceedings of the INS-IPCR International Symposium on Cluster Structure of Nuclei and Transfer Reactions Induced by Heavy Ions (1975), p. 58.
  26. H. Horiuchi, Proceedings of the INS-IPCR International Symposium on Cluster Structure of Nuclei and Transfer Reactions Induced by Heavy Ions (1975), p. 41.
  27. G. Michaud and E. W. Vogt, Phys. Lett. B 30 (1969), 89.
  28. Y. Suzuki, Prog. Theor. Phys. 52 (1974), 890[PTP].
  29. J. P. Elliott and T. H. R. Skyrm, Proc. R. Soc. A 232 (1955), 561.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 58 No. 1 (1977) pp. 204-222 :
    Multi-Cluster Allowed States and Spectroscopic Amplitude of Cluster Transfer
    Hisashi Horiuchi
  2. Progress of Theoretical Physics Vol. 59 No. 3 (1978) pp. 774-789 :
    Alpha- and 8Be-Spectroscopic Factors of 20Ne and 24Mg
    Kiyoshi Katō and Hiroharu Bandō
  3. Progress of Theoretical Physics Vol. 63 No. 3 (1980) pp. 895-918 :
    Generator Coordinate Theory of Normalization Kernels of Cluster Systems. I
    Yoshikazu Fujiwara and Hisashi Horiuchi
  4. Progress of Theoretical Physics Vol. 65 No. 1 (1981) pp. 224-240 :
    A Path Integral Formalism of Collective Motion
    Hiroshi Kuratsuji
  5. 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
  6. Progress of Theoretical Physics Vol. 69 No. 3 (1983) pp. 886-917 :
    Local Inter-Nucleus Potential and Pauli-Forbidden States
    Hisashi Horiuchi
  7. 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
  8. Progress of Theoretical Physics Vol. 70 No. 6 (1983) pp. 1599-1623 :
    WKB Treatment of Boson Hamiltonian of Inter-Nucleus Interaction
    Hisashi Horiuchi, Kaoru Aoki, Takahiro Wada and Kazuhiro Yabana
  9. Progress of Theoretical Physics Vol. 82 No. 1 (1989) pp. 53-74 :
    Microscopic Study of the Nucleus-Nucleus Interaction on the Basis of the Realistic Effective Interaction. I
    Shinichiro Yamaguchi, Kazuhiro Yabana and Hisashi Horiuchi
  10. Progress of Theoretical Physics Supplement No.62 (1977) pp. 1-10 :
    Chapter I. Introduction
    Kiyomi Ikeda and Ryozo Tamagaki
  11. Progress of Theoretical Physics Supplement No.62 (1977) pp. 11-89 :
    Chapter II. Theory of Resonating Group Method and Generator Coordinate Method, and Orthogonality Condition Model
    Sakae Saito
  12. Progress of Theoretical Physics Supplement No.62 (1977) pp. 90-190 :
    Chapter III. Kernels of GCM, RGM and OCM and Their Calculation Methods
    Hisashi Horiuchi

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