HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 38 (1967) > Number 3
| Next Article >

Prog. Theor. Phys. Vol. 38 No. 3 (1967) pp. 715-732

[ Full Text PDF : FREE ACCESS (1217K) ]

The Regge Pole Hypothesis and an Extended Particle Model

Masako Bando, Takeshi Inoue,* Yoshio Takada** and Sho Tanaka

Department of Physics, Kyoto University, Kyoto
*School of Liberal Arts and Science, Kyoto University, Kyoto
**Department of Physics, Tokyo Institute of Technology, Tokyo

(Received May 15, 1967)

Abstract:

Yukawa's bi-local field is investigated as a simple model for an extended particle and is quantized so as to represent the Regge pole behaviour. Two characteristic aspects of elastic scattering at high energies, the diffraction pattern near the forward direction and the compound elastic type of scattering at large angle are explained in a unified way, i.e. the former is explained by the exchange of this extended particle with a space-like four-momentum and the latter by the occurrence of this particle with a time-like four-momentum in the intermediate state of scattering. The difference is emphasized which is due to whether the particle under consideration propagates with a space-like or a time-like four-momentum, in reference to the validity of Fierz's expansion postulate on Yukawa's bi-local field.


URL : http://ptp.ipap.jp/link?PTP/38/715/
DOI : 10.1143/PTP.38.715

[ Full Text PDF : FREE ACCESS (1217K) ] Citation:

References:

  1. See, for instance, V. Barger and M. Olsson, Phys. Rev. 148 (1966), 1428[APS].
  2. A. L. Licht, Nuovo Cim. 30 (1963), 117.
  3. H. Yukawa, Phys. Rev. 77 (1950), 219[APS]; ibid. 80 (1950), 1047[APS].
  4. G. Zweig, CERN preprint, Jan. 1964.
    M. Gell-Mann, Phys. Lett. 8 (1964), 214[CrossRef].
  5. M. Fierz, Phys. Rev. 78 (1950), 184[APS]; Helv. Phys. Acta 23 (1950), 412.
  6. G. Fast and R. Hagedorn, Nuovo Cim. 27 (1963), 208.
    A. Bialas and V. F. Weisskopf, Nuovo Cim. 35 (1965), 211.
  7. P. Kristensen and C. Møller, Kgl. Danske Videnskab. Selskab, Mat.-fys. Medd. 27 (1952), No. 7.
    C. Bloch, Kgl. Danske Videnskab. Selskab, Mat.-fys. Medd. 27 (1952), No. 8.
    H. Umezawa and Y. Takahashi, Prog. Theor. Phys. 9 (1953), 501[PTP].
    Y. Katayama, Prog. Theor. Phys. 10 (1953), 31[PTP].
    C. Hayashi, Prog. Theor. Phys. 10 (1953), 533[PTP].
  8. N. N. Bogoliubov and D. V. Shirkov, Introduction to the Theory of Quantized Fields (1958), p. 230.
  9. G. N. Watson, Theory of Bessel Functions (Cambridge, 1958), p. 262.
  10. C. W. Akerlof, R. H. Hieber, A. D. Krisch, K. W. Edwards, L. G. Ratner and K. Ruddick, Phys. Rev. Lett. 17 (1966), 1105[APS].
  11. H. Yukawa, Proceedings of the International Conference on Elementary Particles, Kyoto, 1965, p. 139, in which related references will be found.
  12. M. Muraskin and S. L. Glashow, Phys. Rev. 132 (1963), 482[APS].
  13. T. Takabayashi, Prog. Theor. Phys. 25 (1961), 901[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 38 No. 6 (1967) pp. 1411-1412 :
    A Possibility of “Complex Unitary Spins” and an Extended Particle Model
    Shinji Hamamoto and Sho Tanaka
  2. Progress of Theoretical Physics Vol. 39 No. 4 (1968) pp. 1047-1068 :
    Green's Function of Bilocal Field Equations
    Takeshi Shirafuji
  3. Progress of Theoretical Physics Vol. 43 No. 5 (1970) pp. 1287-1300 :
    Particle Exchange, Regge Pole Exchange and the Generalized Potential in πN Scattering
    Kisei Kinoshita
  4. Progress of Theoretical Physics Vol. 44 No. 1 (1970) pp. 183-192 :
    High Energy Proton-Proton Scattering and an Extended Particle Model
    Tamotsu Ueda
  5. Progress of Theoretical Physics Vol. 44 No. 1 (1970) pp. 254-271 :
    Duality and Internal Space-Time Structure of Hadrons. I
    Sho Tanaka
  6. Progress of Theoretical Physics Vol. 45 No. 6 (1971) pp. 1967-1978 :
    Infinite Component Wave Function and Scattering Amplitude. II
    Tetsuo Gotō, Jun Otokozawa and Takashi Obara
  7. Progress of Theoretical Physics Vol. 47 No. 1 (1972) pp. 208-227 :
    An Approach to Regge Behaviour and Duality Based on an Infinite Sum of One-Particle-Exchange Amplitudes
    Kisei Kinoshita, Masanori Kobayashi and Kunio Shiga
  8. Progress of Theoretical Physics Vol. 47 No. 2 (1972) pp. 572-588 :
    Extended-Boson Exchange Amplitude Associated with Hydrogen-Like Regge Recurrence
    Tamotsu Ueda
  9. Progress of Theoretical Physics Vol. 50 No. 6 (1973) pp. 2000-2026 :
    Multi-Local Hadron Fields
    Shin Ishida, Masuho Oda and Yasuhito Yamazaki
  10. Progress of Theoretical Physics Vol. 113 No. 3 (2005) pp. 645-656 :
    q-Deformed Bi-Local Fields
    Shigefumi Naka, Haruki Toyoda and Aiko Kimishima
  11. Progress of Theoretical Physics Supplement No.67 (1979) pp. 1-68 :
    Relativistic Mechanics of Confined Particles as Extended Model of Hadrons
    Takehiko Takabayasi
  12. Progress of Theoretical Physics Supplement No.67 (1979) pp. 69-114 :
    On the Bi-Local Model and String Model
    Tetsuo Gotō, Shigefumi Naka and Kiyoshi Kamimura
  13. Progress of Theoretical Physics Supplement No.67 (1979) pp. 209-281 :
    Multi-Local Hadron Fields
    Shin Ishida and Masuho Oda

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

Copyright © Progress of Theoretical Physics 2013 All rights reserved.