HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 50 (1973) > Number 5
| Next Article >

Prog. Theor. Phys. Vol. 50 No. 5 (1973) pp. 1561-1578

[ Full Text PDF : FREE ACCESS (1615K) ]

On the Inner Repulsive Effect Due to the Pauli Principle between Nuclear Composite Particles

Sakae Saito, Sueji Okai,* Ryozo Tamagaki** and Masaru Yasuno

Department of Physics, Nagoya University, Nagoya
*Department of Physics, Konan University, Kobe
**Research Institute for Fundamental Physics, Kyoto University, Kyoto

(Received June 16, 1973)

Abstract:

The effect of the Pauli exclusion principle in the short range part of interactions between nuclear composite particles is investigated in the case that there are some relative states which are not exactly forbidden but almost forbidden. These “almost forbidden states” (AFS) are coupled only weakly to the incoming relative states. Thus, the relative wave function is required to be approximately orthogonal to these AFS which are located in the inner region between composite particles. This gives rise to a strong repulsive effect characterized by the almost energy-independent inner nodal behavior as observed in the case of α-α scattering. However, at the energies characteristic of the AFS, the coupling to the AFS from the incident wave becomes very effective, and resonance-like contributions are brought about within the one-channel approximation. With respect to this feature, the Levinson theorem is discussed.


URL : http://ptp.ipap.jp/link?PTP/50/1561/
DOI : 10.1143/PTP.50.1561

[ Full Text PDF : FREE ACCESS (1615K) ] Citation:

References:

  1. O. Endō, I. Shimodaya and J. Hiura, Prog. Theor. Phys. 31 (1964), 1157[PTP].
    A modified version has been given by J. Hiura and I. Shimodaya, Prog. Theor. Phys. 36 (1966), 977[PTP].
  2. P. Darriulat, G. Igo, H. G. Pugh and H. D. Holmgren, Phys. Rev. 137 (1965), B315[APS].
    S. Ali and A. R. Bodmer, Nucl. Phys. 80 (1966), 99[CrossRef].
  3. For the review article on the α-α interaction, see for example, S. A. Afzal, A. A. Z. Ahmad and S. Ali, Rev. Mod. Phys. 41 (1969), 247[APS].
  4. a) R. Tamagaki and H. Tanaka, Prog. Theor. Phys. 34 (1965), 191[PTP].
    b) R. Tamagaki, Prog. Theor. Phys. Suppl. Extra Number (1968), 242[PTP].
    c) See also J. Hiura and R. Tamagaki, Prog. Theor. Phys. Suppl. No. 52 (1972), 25[PTP]. (Chap. II)
  5. S. Okai and S. C. Park, Phys. Rev. 145 (1966), 787[APS].
  6. S. Okai, S. Saito and R. Tamagaki, Prog. Theor. Phys. 47 (1972), 484[PTP].
  7. S. Saito, Prog. Theor. Phys. 40 (1968), 893[PTP]; ibid. 41 (1969), 705[PTP].
  8. A similar thought has been given in a simple model: S. Otsuki, R. Tamagaki and M. Yasuno, Prog. Theor. Phys. Suppl. Extra Number (1965), 578[PTP].
  9. H. Feshbach, Ann. of Phys. 19 (1962), 287[CrossRef].
  10. S. Okai and R. Tamagaki, Soryushiron Kenkyu (mimeographed circular in Japanese) 37 (1968), 441.
  11. S. Okai, Prog. Theor. Phys. 38 (1967), 1413[PTP].
  12. R. E. Brown and Y. C. Tang, Phys. Rev. 176 (1968), 1235[APS].
    Y. C. Tang, Proceedings of the International Conference on Clustering Phenomena in Nuclei (Bochum, 1969), ed. E. R. A. Beck (IAEA, Vienna, 1969).
  13. F. Nemoto and H. Bando, Prog. Theor. Phys. 47 (1972), 1210[PTP].
  14. M. Kamimura, T. Matsuse and K. Takada, Prog. Theor. Phys. 47 (1972), 1537[PTP].
  15. See also Prog. Theor. Phys. Suppl. No. 52 (1972), on “Alpha-Like Four-Body Correlations and Molecular Aspects in Nuclei”.
  16. The operator F has been used in the work by W. A. Friedman and H. Feshbach, Racah Memorial Contributions (North-Holland Publ. Co., Amsterdam, 1968).
  17. J. A. Wheeler, Phys. Rev. 52 (1937), 1083[APS].
  18. A. M. Lane, Rev. Mod. Phys. 32 (1960), 519[APS].
    Also, see H. Horiuchi and Y. Suzuki, Prog. Theor. Phys. 49 (1973), 1974[PTP].
  19. I. V. Kurdyumov, V. G. Neudatchin and Yu. F. Smirnov, Phys. Lett. B 31 (1970), 426[CrossRef].
  20. S. Okai, S. Saito and R. Tamagaki, Soryushiron Kenkyu (mimeographed circular in Japanese) 45 (1972), 482.
  21. M. Bertero, G. Talenti and G. A. Viano, Nucl. Phys. A 113 (1968), 635; ibid. 115 (1968), 395[CrossRef].
  22. T. Matsuse and M. Kamimura, Prog. Theor. Phys. 49 (1973), 1765[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 53 No. 4 (1975) pp. 1022-1041 :
    Microscopic Study of 16O-16O Interaction by the Resonating Group Method
    Akihiro Tohsaki, Fumiya Tanabe and Ryozo Tamagaki
  2. Progress of Theoretical Physics Vol. 54 No. 3 (1975) pp. 747-757 :
    Effect Due to the Pauli Principle and Channel Coupling
    Hiroyuki Kanada, Tsuneo Kaneko and Sakae Saito
  3. Progress of Theoretical Physics Vol. 56 No. 5 (1976) pp. 1503-1520 :
    A Study on Three-Alpha Structure of 12C in the Faddeev Formalism
    Yoshikazu Fujiwara and Ryozo Tamagaki
  4. Progress of Theoretical Physics Vol. 58 No. 1 (1977) pp. 190-203 :
    A Microscopic Study of Elastic Scattering of α Particles on 7Li Nuclei
    Sakae Saito, Hidetoshi Nishioka and Masaru Yasuno
  5. Progress of Theoretical Physics Vol. 59 No. 1 (1978) pp. 306-308 :
    Strong Damping of Inner Oscillation in 16O+16O System and Nuclear Saturation Properties
    Tomoaki Ando, Kiyomi Ikeda and Akihiro Tohsaki-Suzuki
  6. Progress of Theoretical Physics Vol. 61 No. 1 (1979) pp. 101-116 :
    Microscopic Study of 16O+16O Interaction
    Tomoaki Ando, Kiyomi Ikeda and Akihiro Tohsaki-Suzuki
  7. Progress of Theoretical Physics Vol. 62 No. 3 (1979) pp. 662-680 :
    Double Folding Potential for Inelastic Scattering Problem between Nuclei
    Yuh-ichi Goto and Hisashi Horiuchi
  8. 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
  9. Progress of Theoretical Physics Vol. 64 No. 5 (1980) pp. 1608-1626 :
    Nucleus-Nucleus Interaction and Nuclear Saturation Property
    Tomoaki Ando, Kiyomi Ikeda and Akihiro Tohsaki-Suzuki
  10. Progress of Theoretical Physics Vol. 68 No. 1 (1982) pp. 322-326 :
    Projectile Breakup Effect on 6Li Elastic Scattering from 28Si and 40Ca Studied by Microscopic Coupled-Channels Method
    Yukinori Sakuragi, Masanobu Yahiro and Masayasu Kamimura
  11. Progress of Theoretical Physics Vol. 68 No. 5 (1982) pp. 1658-1687 :
    Study of Local Inter-Nucleus Potential on the Basis of the Resonating Group Method. I
    Kaoru Aoki and Hisashi Horiuchi
  12. Progress of Theoretical Physics Vol. 69 No. 3 (1983) pp. 886-917 :
    Local Inter-Nucleus Potential and Pauli-Forbidden States
    Hisashi Horiuchi
  13. Progress of Theoretical Physics Vol. 70 No. 4 (1983) pp. 1047-1070 :
    Elastic Scattering and Breakup of 6Li
    Yukinori Sakuragi, Masanobu Yahiro and Masayasu Kamimura
  14. Progress of Theoretical Physics Vol. 107 No. 4 (2002) pp. 745-757 :
    Three-Cluster Equation Using the Two-Cluster RGM Kernel
    Yoshikazu Fujiwara, Hidekatsu Nemura, Yasuyuki Suzuki, Kazuya Miyagawa and Michio Kohno
  15. Progress of Theoretical Physics Vol. 120 No. 6 (2008) pp. 1193-1205 :
    Effective α-α t-Matrix Interaction at Medium Energies
    Arun K. Jain and Bhushan N. Joshi
  16. Progress of Theoretical Physics Vol. 124 No. 3 (2010) pp. 433-469 :
    Quark-Model Baryon-Baryon Interaction Applied to Neutron-Deuteron Scattering. I
    Yoshikazu Fujiwara and Kenji Fukukawa
  17. Progress of Theoretical Physics Supplement No.61 (1977) pp. 229-261 :
    Three-Alpha Structure of 12C in the Boson Model
    Ryozo Tamagaki and Yoshikazu Fujiwara
  18. Progress of Theoretical Physics Supplement No.62 (1977) pp. 1-10 :
    Chapter I. Introduction
    Kiyomi Ikeda and Ryozo Tamagaki
  19. 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
  20. 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
  21. 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
  22. Progress of Theoretical Physics Supplement No.68 (1980) pp. 359-385 :
    Chapter V. Microscopic Study of the Interaction between Complex Nuclei
    Akihiro Tohsaki-Suzuki, Masayasu Kamimura and Kiyomi Ikeda
  23. Progress of Theoretical Physics Supplement No.89 (1986) pp. 136-211 :
    Chapter VI. Microscopic Coupled-Channels Study of Scattering and Breakup of Light Heavy-Ions
    Yukinori Sakuragi, Masanobu Yahiro and Masayasu Kamimura

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

Copyright © Progress of Theoretical Physics 2013 All rights reserved.