HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Supplement (1972) > No.52
| Next Article >

Prog. Theor. Phys. Supplement No.52 (1972) pp. 173-227

[ Full Text PDF : FREE ACCESS (3352K) ]

Chapter IV. Alpha-Cluster Structure in Neon Region

Jun Hiura, Fumiki Nemoto* and Hiroharu Bandō**

College of Liberal Arts, Iwate University, Morioka
*Department of Physics, Kyoto University, Kyoto
**Division of Mathematical Physics, Fukui University, Fukui

(Received December 15, 1972)

Abstract:

Contents
§1. Introduction
§2. Presentation of the “alpha-cluster plus 16O-core model”
2.1 Model Hamiltonian
2.2 Motion of the α-cluster and the effective α-16O potential (The K = 0 rotational bands in 20Ne)
2.3 Representation of the single particle motion
2.4 The effective N-@ potential and its roles
§3. Coupled motion of the “alpha-cluster plus 16O-core” with the nucleons
3.1 Motion of a hole (the low-lying anomalous parity states in 19F)
3.2 Motion of a particle (the ground rotational band in 21Ne)
3.3 Motion of a particle-hole pair (the excited Kπ = 2- rotational band in 20Ne)
3.4 Summary on the “alpha-cluster plus 16O-core model”
§4. Characteristic features observed in the core-excited states of 20Ne ∼ 16O*
§5. Presentation of the “microscopic alpha-cluster plus core model”
5.1 Model wave functions and the energy expectation values (derivation of the hole energies and the hole-hole interaction energies)
5.2 Representation of the weak and strong coupling bases in terms of the projection procedure
5.3 Application of the generator coordinate method and the expressions of the alpha-reduced width amplitudes
§6. Growth of the alpha-clusterization from 20Ne to 16O* and the weak coupling feature
6.1 On clusterizations in the ground-state series of 20Ne ∼ 16O
6.2 Growth of alpha-clusterizations and weak coupling features in the alpha-core states of 20Ne ∼ 16O*
6.3 Detailed studies on 20Ne and 19F problems by the generator coordinate method -Energy spectra and alpha–reduced width amplitudes–
6.4 Summary on the “microscopic alpha-cluster plus core model”
§7. Conclusions


URL : http://ptp.ipap.jp/link?PTPS/52/173/
DOI : 10.1143/PTPS.52.173

[ Full Text PDF : FREE ACCESS (3352K) ] Citation:

References:

  1. R. Tamagaki, Prog. Theor. Phys. 42 (1969), 748[PTP].
  2. J. Hiura, Y. Abe, S. Saito and O. Endō, Prog. Theor. Phys. 42 (1969), 555[PTP].
  3. H. Horiuchi and K. Ikeda, Prog. Theor. Phys. 40 (1968), 277[PTP].
  4. K. Ikeda, N. Takigawa and H. Horiuchi, Prog. Theor. Phys. Suppl. Extra Number (1968), 464[PTP].
  5. F. Nemoto and H. Bandō, Prog. Theor. Phys. 47 (1972), 1210[PTP].
  6. T. Inoue, T. Sebe, H. Hagiwara and A. Arima, Nucl. Phys. 59 (1964), 1[CrossRef].
  7. A. Arima, H. Horiuchi and T. Sebe, Phys. Lett. B 24 (1967), 129[CrossRef].
  8. a) K. Bethge, K. Meier-Ewert, K. O. Pfeiffer and R. Book, Phys. Lett. B 24 (1967), 663[CrossRef].
    b) R. Middleton, B. Rosner, D. J. Pullen and L. Polsky, Phys. Rev. Lett. 20 (1968), 118[APS].
    c) R. Middleton, L. Polsky, C. H. Holbrow and K. Bethge, Phys. Rev. Lett. 21 (1968), 1398[APS].
    d) R. Middleton, Proceedings of the International Conference on Nuclear Reaction Induced by Heavy Ions (Heidelberg, 1969), p. 263.
    e) A. A. Ogloblin, Proceedings of the International Conference on Nuclear Reaction Induced by Heavy Ions (Heidelberg, 1969), p. 231.
    f) K. Bethge, Ann. Rev. Nucl. Sci. 19 (1969), 255.
  9. a) H. Horiuchi, private communications.
    b) A. Arima and S. Yoshida, Phys. Lett. B 40 (1972), 15[CrossRef].
    c) K. Yazaki, private communications.
  10. a) T. Marumori and K. Suzuki, Nucl. Phys. A 106 (1968), 610[CrossRef].
    b) J. Eichler, T. Marumori and K. Takada, Prog. Theor. Phys. 40 (1968), 60[PTP].
    c) M. Kamimura, T. Matsuse and K. Takada, Prog. Theor. Phys. 47 (1972), 1537[PTP].
  11. A. Bohr and B. R. Mottelson, Kgl. Danske Videnskab. Selskab, Mat. Fys. Medd. 27 (1953), No. 17.
  12. a) A. E. Litherland, J. A. Kuehner, H. E. Gove, M. A. Clark and E. Almqvist, Phys. Rev. Lett. 7 (1961), 98[APS].
    J. A. Kuehner and E. Almqvist, Can. J. Phys. 45 (1967), 1605.
    b) A. D. Panagioton, H. E. Gove and S. Harar, Phys. Rev. C 5 (1972), 1955[APS].
  13. a) I. Shimodaya, R. Tamagaki and H. Tanaka, Prog. Theor. Phys. 27 (1962), 793[PTP].
    R. Tamagaki and H. Tanaka, Prog. Theor. Phys. 34 (1965), 191[PTP].
    S. Okai and S. C. Park, Phys. Rev. 145 (1966), 787[APS].
    R. Tamagaki, Prog. Theor. Phys. Suppl. Extra Number (1968), 242[PTP].
    S. Saito, Prog. Theor. Phys. 41 (1969), 705[PTP].
    b) O. Endo, I. Shimodaya and J. Hiura, Prog. Theor. Phys. 31 (1964), 1157[PTP].
    P. Darriulat, G. Igo, H. C. Pugh and H. D. Holmgren, Phys. Rev. 137 (1965), B315[APS].
    c) Also, see other references cited in Chapter II.
  14. L. R. B. Elton, Nuclear Sizes (Oxford University Press, 1961).
  15. O. Häusser, T. K. Alexander, A. B. McDonald, G. T. Ewan and A. E. Litherland, Nucl. Phys. A 168 (1971), 17[CrossRef].
    T. K. Alexander, O. Häusser, A. B. McDonald and A. J. Ferguson, Nucl. Phys. A 179 (1972), 477[CrossRef].
  16. R. F. Frosch, J. S. McCarthy, R. E. Rand and M. R. Yearian, Phys. Rev. 160 (1967), 874[APS].
  17. H. Crannell, Phys. Rev. 148 (1966), 1107[APS].
  18. Y. Horikawa, Y. Torizuka, A. Nakada, S. Mitsunobu, Y. Kojima and M. Kimura, Phys. Lett. B 36 (1971), 9[CrossRef].
  19. a) H. Kanada, S. Nagata, S. Otsuki and Y. Sumi, Prog. Theor. Phys. 30 (1963), 475[PTP].
    b) R. E. Schenter, Nucl. Phys. A 94 (1967), 408[CrossRef]; Phys. Rev. Lett. 18 (1967), 465[APS].
  20. a) S. Sack, L. C. Biedenharn and C. Briet, Phys. Rev. 93 (1954), 321[APS].
    b) P. Swan, Phys. Rev. Lett. 19 (1967), 245[APS].
  21. U. Fano and G. Racah, Irreducible Tensorial Sets (Academic Press Inc., New York, 1959).
  22. F. Ajzenberg-Selove, Nucl. Phys. A 190 (1972), 1[CrossRef].
  23. C. Rolfs, H. P. Trautvetter, E. Kuhlmann and F. Riess, Nucl. Phys. A 189 (1972), 641.
  24. a) R. D. Bent, J. E. Evans, G. C. Morrison, N. H. Gale and I. J. van Heerden, Nucl. Phys. A 90 (1967), 122[CrossRef].
    A. J. Howard, J. P. Allen, D. A. Bromley, J. W. Olness and E. K. Warburton, Phys. Rev. 157 (1967), 1022[APS].
    b) J. T. La Tourrette, W. E. Quinn and N. F. Ramsey, Phys. Rev. 107 (1956), 1202[APS].
    G. M. Grosof, P. Buck, W. Lichten and I. I. Rabi, Phys. Rev. Lett. 1 (1958), 214[APS].
    S. J. Skorka, J. Hertel and T. W. Retz-Schmidt, Nuclear Data (Academic Press, New York and London), A 2 (1966), p. 347.
  25. E. Baranger and C. W. Lee, Nucl. Phys. 21 (1961), 157[CrossRef].
  26. C. Broude, M. A. Clark and A. E. Litherland, Phys. Lett. 3 (1962), 118[CrossRef].
  27. C. Broude, A. E. Litherland and J. D. Pearson, Phys. Lett. 11 (1964), 321[CrossRef].
  28. A. Springer and B. G. Harvey, Phys. Rev. Lett. 14 (1965), 316[APS].
  29. R. H. Siemssen, R. Felst, M. Cosack and J. L. Weil, Nucl. Phys. 52 (1964), 273[CrossRef].
  30. a) H. Margenau, Phys. Rev. 59 (1941), 37[APS].
    b) D. M. Brink, Proceedings of the International School of Physics, Enrico Fermi Course XXXVI (1966), p. 247.
  31. a) D. L. Hill and J. A. Wheeler, Phys. Rev. 89 (1952), 1102[APS].
    b) H. Horiuchi, Prog. Theor. Phys. 43 (1970), 375[PTP].
  32. A. B. Volkov, Nucl. Phys. 74 (1965), 33[CrossRef].
  33. H. Bandō, S. Nagata and Y. Yamamoto, Prog. Theor. Phys. 44 (1970), 646[PTP]; ibid. 45 (1971), 1515[PTP].
  34. P. J. Ellis and T. Engeland, Nucl. Phys. A 144 (1970), 161[CrossRef].
  35. H. G. Benson and B. H. Flowers, Nucl. Phys. A 126 (1969), 305[CrossRef].
  36. D. Dehnhard and N. M. Hintz, Phys. Rev. C 1 (1970), 460[APS].
  37. K. I. Kubo and M. Hirata, Nucl. Phys. A 187 (1972), 186[CrossRef].
    K. I. Kubo, Nucl. Phys. A 187 (1972), 205.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 52 No. 2 (1974) pp. 471-486 :
    Realistic Effective Interaction between Nucleons in Cluster States of Light Nuclei
    Yasuo Yamamoto
  2. Progress of Theoretical Physics Vol. 52 No. 2 (1974) pp. 487-508 :
    Four-Hole Structure in Fe Isotopes
    Kazunori Itonaga
  3. Progress of Theoretical Physics Vol. 53 No. 2 (1975) pp. 447-460 :
    Many-Cluster Problem by the Orthogonality Condition Model
    Hisashi Horiuchi
  4. Progress of Theoretical Physics Vol. 56 No. 4 (1976) pp. 1126-1139 :
    Admixture of Shell and Cluster States in 18F
    Toshimi Sakuda, Sinobu Nagata and Fumiki Nemoto
  5. Progress of Theoretical Physics Vol. 57 No. 3 (1977) pp. 855-865 :
    Admixtures of Shell and Cluster States in 18O
    Toshimi Sakuda
  6. 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
  7. Progress of Theoretical Physics Vol. 59 No. 4 (1978) pp. 1261-1275 :
    New Microscopic Treatment of the Interaction between Complex Nuclei
    Akihiro Tohsaki-Suzuki
  8. Progress of Theoretical Physics Vol. 59 No. 5 (1978) pp. 1543-1550 :
    Influence of α-Clustering on the Odd-Parity Levels in A = 18 Nuclei
    Toshimi Sakuda, Sinobu Nagata and Fumiki Nemoto
  9. Progress of Theoretical Physics Vol. 61 No. 6 (1979) pp. 1629-1648 :
    Cluster-Structure Study of 20Ne by “(16O-α) + (12C-8Be)” Coupled Channel Orthogonality Condition Model. I
    Yoshikazu Fujiwara, Hisashi Horiuchi and Ryozo Tamagaki
  10. Progress of Theoretical Physics Vol. 62 No. 6 (1979) pp. 1606-1620 :
    Study of 19F by α-15N plus t-16O Coupled Channel Orthogonality Condition Model. II
    Toshimi Sakuda and Fumiki Nemoto
  11. Progress of Theoretical Physics Vol. 71 No. 1 (1984) pp. 215-218 :
    Couplings between 16O-Core Excitations and α-Clustering in 20Ne
    Hiroshi Kazama, Kiyoshi Katō and Hajime Tanaka
  12. Progress of Theoretical Physics Vol. 75 No. 3 (1986) pp. 571-582 :
    Giant Quadrupole Resonances of 20Ne Based on Cluster Model
    Hiroshi Kazama, Kiyoshi Katō and Hajime Tanaka
  13. Progress of Theoretical Physics Supplement No.62 (1977) pp. 1-10 :
    Chapter I. Introduction
    Kiyomi Ikeda and Ryozo Tamagaki
  14. Progress of Theoretical Physics Supplement No.65 (1979) pp. 111-135 :
    Chapter IV. Coupling Effects of Two-Particle and Alpha Two-Hole States in A = 18 Nuclei
    Toshimi Sakuda, Sinobu Nagata and Fumiki Nemoto
  15. Progress of Theoretical Physics Supplement No.68 (1980) pp. 1-28 :
    Chapter I. Introduction to Comprehensive Nuclear Structure Study Based on Cluster Correlations and Molecular Viewpoint
    Kiyomi Ikeda, Hisashi Horiuchi and Sakae Saito
  16. 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
  17. 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

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.