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Prog. Theor. Phys. Vol. 8 No. 5 (1952) pp. 531-548

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Pion Reactions in One Nucleon System and Nucleon Isobars

Shigeo Minami, Tadao Nakano*, Kazuhiko Nishijima,* Hisaichiro Okonogi** and Eiji Yamada**

Department of Physics, Osaka University
*Department of Physics, Osaka City University
**Institute of Theoretical Physics, Nagoya University

(Received September 30, 1952)

Abstract:

In this paper, we try to interpret the pion-nucleon interaction on the basis of the nucleon isobar model. As a complementary way to the strong coupling and phenomenological theories, we start from the field theoretical viewpoint which will be useful to connect the present phenomenological theory of pions to the future theory of fields.
We treat the nucleon isobars as elementary particles and describe them by the Rarita-Schwinger equation of particles with spin 3/2. Hence the familiar Feynman-Dyson method is immediately applicable to the calculation of matrix elements of such processes involving nucleon isobars as the pion-proton scattering and the pion-production by γ-rays on proton.
The qualitative features are governed mainly by the mass, width, spin and isotopic spin of the isobar, so that our results roughly agree with those of the strong coupling and phenomenological theories.
In some detailed respects, however, our results show differences from other theories; the agreement with experiments is improved for the angular distributions of γ-p scattering and photo-production of charged pions, but becomes a little worse for that of neutral pions.
Our method is applied only to pion reactions in one nucleon system, for we know too little about two or more nucleon systems to extract the pure pion-nucleon interaction. Lastly, we discuss the validity of the nucleon isobars.


URL : http://ptp.ipap.jp/link?PTP/8/531/
DOI : 10.1143/PTP.8.531

[ Full Text PDF : FREE ACCESS (1265K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 9 No. 2 (1953) pp. 108-116 :
    The Scattering of Gamma-ray by Nucleon and Nucleon Isobars
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  2. Progress of Theoretical Physics Vol. 9 No. 5 (1953) pp. 492-500 :
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  3. Progress of Theoretical Physics Vol. 10 No. 2 (1953) pp. 199-226 :
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  4. Progress of Theoretical Physics Vol. 10 No. 3 (1953) pp. 309-322 :
    Effect of Nucleon Excited State on Magnetic Moment Anomaly
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  5. Progress of Theoretical Physics Vol. 10 No. 4 (1953) pp. 399-414 :
    Pion-nucleon Scattering and Nucleon Isobar
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  6. Progress of Theoretical Physics Vol. 11 No. 1 (1954) pp. 123-124 :
    Note on Meson-nucleon Interaction
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  7. Progress of Theoretical Physics Vol. 11 No. 3 (1954) pp. 231-243 :
    Anomalous Magnetic Moment of Nucleon and Nucleon Isobar
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  8. Progress of Theoretical Physics Vol. 14 No. 5 (1955) pp. 487-488 :
    Situation of Rarita-Schwinger Particle as a Model of Nucleon Isobar
    Daisuke Itô and Shigeo Minami
  9. Progress of Theoretical Physics Vol. 24 No. 5 (1960) pp. 1013-1032 :
    Isobar Model and the S-Wave Pion-Nucleon Scattering
    Yasunori Fujii
  10. Progress of Theoretical Physics Vol. 26 No. 3 (1961) pp. 356-374 :
    K Meson-Pion Interaction and K-+p→K0+π-+p Reaction
    Shigeo Minami
  11. 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
  12. Progress of Theoretical Physics Vol. 31 No. 4 (1964) pp. 654-678 :
    An Analysis of the Low Energy π-N Scattering
    Masayoshi Kikugawa
  13. Progress of Theoretical Physics Vol. 32 No. 1 (1964) pp. 138-143 :
    Pole Approximation to the Decays of the Ω- Particle (≃1680 MeV)
    Mahiko Suzuki
  14. Progress of Theoretical Physics Vol. 39 No. 5 (1968) pp. 1233-1267 :
    Phenomenological Approach to Non-Leptonic Decays. I
    Mitsuo Imoto and Katsuhiko Ohya
  15. Progress of Theoretical Physics Vol. 39 No. 5 (1968) pp. 1268-1277 :
    Phenomenological Approach to Non-Leptonic Decays. II
    Katsuhiko Ohya, Mitsuo Imoto and Shoichiro Kawasaki
  16. Progress of Theoretical Physics Vol. 59 No. 6 (1978) pp. 1974-1988 :
    A Phenomenological Analysis of Single Pion Photoproduction in the First Resonance Region
    Noboru Hiroshige
  17. Progress of Theoretical Physics Vol. 60 No. 4 (1978) pp. 1027-1039 :
    Low Energy Pion Photoproduction and One-Particle-Exchange Model
    Noboru Hiroshige and Wataro Watari

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