HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 24 (1960) > Number 5
| Next Article >

Prog. Theor. Phys. Vol. 24 No. 5 (1960) pp. 1013-1032

[ Full Text PDF : FREE ACCESS (1040K) ]

Isobar Model and the S-Wave Pion-Nucleon Scattering

Yasunori Fujii

Department of Physics, College of Science and Engineering, Nihon University, Tokyo

(Received June 27, 1960)

Abstract:

For the scattering lengths of the S-wave pion-nucleon scattering, Chew, Goldberger, Low and Nambu have shown that the result of their dispersion relation without subtraction exhibits an excellent agreement with the observations, as long as the integrations are carried out over the 3-3 resonance alone. Correspondence of their result to the Hamiltonian formalism is examined by replacing the 3-3 resonant state by an isobaric particle of spin 3/2, which is described by the Rarita-Schwinger theory. The scattering amplitudes are calculated by means of the lowest order perturbation theory. By requiring further that hte amplitudes should decrease to zero in the high energy limit, it is found necessary to introduce the interaction terms other than the conventional one. These terms are left undetermined from the location and the width of the 3-3 resonance. By the appropriate choice of the parameters involved in these terms, CGLN's result can be reproduced in the narrow width approximation.


URL : http://ptp.ipap.jp/link?PTP/24/1013/
DOI : 10.1143/PTP.24.1013

[ Full Text PDF : FREE ACCESS (1040K) ] Citation:

References:

  1. For example, M. L. Goldberger, H. Miyazawa and R. Oehme, Phys. Rev. 99 (1955), 986[APS].
  2. K. Kawarabayashi and H. Miyazawa, Prog. Theor. Phys. 23 (1960), 490[PTP].
  3. G. F. Chew, M. L. Goldberger, F. E. Low and Y. Nambu, Phys. Rev. 106 (1957), 1337[APS].
  4. N. Fukuda, S. Goto, S. Okubo and K. Sawada, Prog. Theor. Phys. 12 (1954), 79[PTP].
    S. Chiba, M. Yamazxaki and N. Fukuda, Prog. Theor. Phys. 12 (1954), 767[PTP].
  5. G. Takeda, “Buturi” 15 (1960), 298 (Physical Society of Japan).
  6. N. Nakanishi, Prog. Theor. Phys. 22 (1959), 128[PTP].
    S. Mandelstam, Phys. Rev. 115 (1959), 1741[APS]; ibid. 115 (1959), 1752[APS].
  7. J. C. Brisson, J. Detoef, P. Falk-Vairant, L. van Rossum, G. Valladas and Luke C. L. Yuan, Phys. Rev. Lett. 3 (1959), 561[APS].
  8. Bogoliubov, Medvedev and Polivanov, lecture note (Princeton).
  9. R. Oehme, Phys. Rev. 100 (1955), 1503[APS].
  10. W. Rarita and J. Schwinger, Phys. Rev. 60 (1941), 61[APS].
  11. H. Umezawa, Quantum Field Theory (North Holland Publishing Company, 1956).
  12. S. Minami, T. Nakano, K. Nishijima, H. Okonogi and E. Yamada, Prog. Theor. Phys. 8 (1952), 531[PTP].
  13. For example, Y. Katayama, Prog. Theor. Phys. 10 (1953), 31[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 25 No. 3 (1961) pp. 441-460 :
    Pion-Pion Interaction and Nuclear Forces
    Yasunori Fujii
  2. Progress of Theoretical Physics Vol. 28 No. 2 (1962) pp. 215-232 :
    Investigations on the Second and Third Resonances in Terms of Compound States
    Hirofumi Hayashi, Hisaichiro Okonogi, Shoichiro Otsuki and Yoshio Sumi
  3. Progress of Theoretical Physics Vol. 31 No. 4 (1964) pp. 654-678 :
    An Analysis of the Low Energy π-N Scattering
    Masayoshi Kikugawa
  4. Progress of Theoretical Physics Vol. 38 No. 4 (1967) pp. 920-932 :
    Pion-Nucleon Scattering at Low Energies and Partially Conserved Axial-Vector Current Hypothesis
    Kin-ichi Ishida and Atsushi Takahashi

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

Copyright © Progress of Theoretical Physics 2013 All rights reserved.