Quick Search:
Author: Title/Abstract: Vol./No: Page:

Prog. Theor. Phys. Vol. 58 No. 1 (1977) pp. 204-222

[ Full Text PDF : FREE ACCESS (1655K) ]

Multi-Cluster Allowed States and Spectroscopic Amplitude of Cluster Transfer

Hisashi Horiuchi

Department of Physics, Kyoto University, Kyoto 606

(Received December 30, 1976)

Abstract:

A general construction procedure of the allowed states of the multi-cluster system is presented with the use of the concept of the “coefficient of fractional parentage”. We explain in detail in the case of three-cluster system that the introduction of the Elliott SU3 group greatly simplifies the construction process, thereby making the practical calculation significantly rapid. As an important application of the allowed states, we discuss the calculation of the spectroscopic amplitude of cluster transfer and investigate its characteristic features on the basis of the properties of the allowed states.


URL : http://ptp.ipap.jp/link?PTP/58/204/
DOI : 10.1143/PTP.58.204

[ Full Text PDF : FREE ACCESS (1655K) ] Citation:


References:

  1. Proceedings of the INS-IPCR International Symposium on Cluster Structure of Nuclei and Transfer Reactions Induced by Heavy Ions, Tokyo (1975).
  2. Proceedings of the II International Conference on Clustering Phenomena in Nuclei, Maryland (1975).
  3. “Alpha-Like Four-Body Correlations and Molecular Aspects in Nuclei”, Prog. Theor. Phys. Suppl. No. 52 (1972).
  4. N. de Takacsy, Nucl. Phys. A 178 (1972), 469[CrossRef].
  5. H. Horiuchi, Prog. Theor. Phys. 51 (1974), 1266[PTP]; ibid. 53 (1975), 447[PTP]; Proceedings of the VII International Conference on Few Body Problems in Nuclear and Particle Physics, Delhi (1975), p. 165.
  6. Yu. F. Smirnov, I. T. Obukhovsky, Yu. M. Tchuvil'sky and V. G. Neudatchin, Nucl. Phys. A 235 (1974), 289[CrossRef].
  7. K. Kato and H. Bando, Prog. Theor. Phys. 54 (1975), 1887[PTP].
  8. Y. Fujiwara and R. Tamagaki, Proceedings of the VII International Conference on Few Body Problems in Nuclear and Particle Physics, Delhi (1975), p. 154; Prog. Theor. Phys. 56 (1976), 1503[PTP].
  9. E. Uegaki, S. Okabe, Y. Abe and H. Tanaka, Proceedings of the INS-IPCR International Symposium on Cluster Structure of Nuclei and Transfer Reactions Induced by Heavy Ions, Tokyo (1975), p. 682; Prog. Theor. Phys. 57 (1977), 1262[PTP].
  10. S. Saito, H. Nishioka and M. Yasuno, Proceedings of the INS-IPCR International Symposium on Cluster Structure of Nuclei and Transfer Reactions Induced by Heavy Ions, Tokyo (1975), p. 696.
  11. F. Nemoto, Y. Yamamoto, H. Horiuchi, Y. Suzuki and K. Ikeda, Prog. Theor. Phys. 54 (1975), 104[PTP].
  12. S. Saito, Prog. Theor. Phys. 41 (1969), 705[PTP].
  13. J. Hiura and R. Tamagaki, Prog. Theor. Phys. Suppl. No. 52 (1972), 25[PTP].
  14. Y. Suzuki, Prog. Theor. Phys. 50 (1973), 341[PTP].
  15. K. Kato and H. Bandō, Prog. Theor. Phys. 53 (1975), 692[PTP].
  16. T. Tatsumi, M. Ohta and S. Okai, Soryushiron Kenkyu (Kyoto) 51 (1975), 85.
  17. H. Horiuchi, Prog. Theor. Phys. 55 (1976), 1448[PTP].
  18. H. Horiuchi, Prog. Theor. Phys. 47 (1972), 1058[PTP].
  19. B. Kaufman and C. Noack, J. Math. Phys. 6 (1965), 142[CrossRef].
  20. A. Gal, Ann. of Phys. 49 (1968), 341[CrossRef].
  21. H. Horiuchi, Prog. Theor. Phys. 51 (1974), 745[PTP].
  22. V. Bargmann and M. Moshinsky, Nucl. Phys. 18 (1960), 697[CrossRef]; ibid. 23 (1961), 177[CrossRef].
  23. H. Horiuchi and Y. Suzuki, Prog. Theor. Phys. 49 (1973), 1974[PTP].
  24. M. Ichimura, A. Arima, E. C. Halbert and T. Terasawa, Nucl. Phys. A 204 (1973), 225[CrossRef].
  25. D. Kurath and I. S. Towner, Nucl. Phys. A 222 (1974), 1[CrossRef].
  26. J. P. Draayer, Nucl. Phys. A 237 (1975), 157[CrossRef].
  27. K. T. Hecht and D. Braunshweig, Nucl. Phys. A 244 (1975), 365[CrossRef].
  28. V. V. Balashov, V. G. Neudatchin, Yu. F. Smirnov and N. P. Yudin, JETP 37 (1959), 1385.
    Yu. F. Smirnov and D. Chlebowska, Nucl. Phys. 26 (1961), 306[CrossRef].
  29. T. Honda, H. Horie, Y. Kudo and H. Ui, Nucl. Phys. 62 (1965), 561[CrossRef].
  30. I. Rotter, Forts. Phys. 16 (1968), 195.
  31. V. C. A. Navarro, M. Moshinsky and W. W. Yeh, Revista Mexicana de Fisica 17 (1968), 241.
  32. R. L. McGrath, D. L. Hendrie, E. A. McClatchie, B. G. Harvey and J. Cerny, Phys. Lett. B 34 (1971), 289[CrossRef].
  33. T. Matsuse, M. Kamimura and Fukushima, Prog. Theor. Phys. 53 (1975), 706[PTP].
  34. J. D. Cossairt et al., Nucl. Phys. A 261 (1976), 373[CrossRef].

Citing Article(s) :

  1. 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
  2. Progress of Theoretical Physics Vol. 62 No. 2 (1979) pp. 424-439 :
    Structure Study of 2α+t System by the Orthogonality Condition Model
    Hidetoshi Nishioka, Sakae Saito and Masaru Yasuno
  3. Progress of Theoretical Physics Vol. 62 No. 3 (1979) pp. 644-661 :
    A Study of 24Mg by 16O+ α+ α Cluster Model
    Kiyoshi Katō and Hiroharu Bandō
  4. Progress of Theoretical Physics Vol. 63 No. 2 (1980) pp. 438-458 :
    Study of Distortion Effects in the Elastic d-4He Scattering by Orthogonality Condition Model
    Hidetoshi Nishioka, Sakae Saito, Hiroyuki Kanada and Tsuneo Kaneko
  5. 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
  6. 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
  7. Progress of Theoretical Physics Vol. 76 No. 1 (1986) pp. 75-92 :
    Cluster Structure in the Highly-Excited States of 24Mg
    Kiyoshi Katō, Hiroshi Kazama and Hajime Tanaka
  8. Progress of Theoretical Physics Vol. 77 No. 2 (1987) pp. 185-189 :
    Application of the µ-Truncation Method to 3α Orthogonality Condition Model
    Kiyoshi Katō, Hiroshi Kazama and Hajime Tanaka
  9. 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
  10. 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
  11. Progress of Theoretical Physics Vol. 81 No. 4 (1989) pp. 841-857 :
    A New Truncation Method for Multi-Cluster Orthogonality Condition Model
    Kiyoshi Katō and Hajime Tanaka
  12. Progress of Theoretical Physics Vol. 84 No. 6 (1990) pp. 1145-1159 :
    Resonances in Complex-Scaled Orthogonality Condition Model of Nuclear Cluster System
    András T. Kruppa and Kiyoshi Katō
  13. 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
  14. Progress of Theoretical Physics Supplement No.62 (1977) pp. 1-10 :
    Chapter I. Introduction
    Kiyomi Ikeda and Ryozo Tamagaki
  15. 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
  16. 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
  17. Progress of Theoretical Physics Supplement No.68 (1980) pp. 29-192 :
    Chapter II. Comprehensive Study of Alpha-Nuclei
    Yoshikazu Fujiwara, Hisashi Horiuchi, Kiyomi Ikeda, Masayasu Kamimura, Kiyoshi Katō, Yasuyuki Suzuki and Eiji Uegaki
  18. Progress of Theoretical Physics Supplement No.68 (1980) pp. 193-302 :
    Chapter III. Study of Non-Alpha-Nuclei Based on the Viewpoint of Cluster Correlations
    Hiroshi Furutani, Hiroyuki Kanada, Tsuneo Kaneko, Sinobu Nagata, Hidetoshi Nishioka, Shigeto Okabe, Sakae Saito, Toshimi Sakuda and Michio Seya