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Prog. Theor. Phys. Vol. 12 No. 1 (1954) pp. 79-93

[ Full Text PDF : FREE ACCESS (1239K) ]

Theoretical Analysis of Pion-nucleon Scattering

Nobuyuki Fukuda, Shigeo Goto,* Susumu Okubo** and Katuro Sawada**

Tokyo University of Education
*Gifu University
**Tokyo University

(Received April 20, 1954)

Abstract:

Theoretical phase shifts of pion-nucleon scattering are derived assuming the pseudo-scalar meson theory with pseudo-scalar coupling. In order to make static approximation for such a relativistic coupling, the well-known Tani-Foldy transformation is applied. Since there appears an isotopic-spin-dependent term which is negative and rather strong for the T=1/2 state, theoretical interpretation of recent experiments on the S-wave scattering seems to be hopeful. As to the P-wave scattering, the Tamm-Dancoff approximation and renormalization technique are used. The anomalous magnetic moment of the nucleon is also calculated. The cut-off method is used throughout this work and the results are very sensitive to the cut-off momentum, but the essential features of the theory would be retained qualitatively and, at lower energies, somewhat quantitatively. D-phase shifts are calculated by the Born approximation, though it is possible that the radiative effects, which always tend to make the nucleon spread out, are very important in this case.


URL : http://ptp.ipap.jp/link?PTP/12/79/
DOI : 10.1143/PTP.12.79

[ Full Text PDF : FREE ACCESS (1239K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 12 No. 5 (1954) pp. 603-622 :
    Diagonalization of Hamiltonian and Tamm-Dancoff Equation
    Susumu Ôkubo
  2. Progress of Theoretical Physics Vol. 12 No. 6 (1954) pp. 699-712 :
    The Cut-Off Method in Meson Theory
    Shigeo Goto
  3. Progress of Theoretical Physics Vol. 12 No. 6 (1954) pp. 767-788 :
    Pion-Nucleon Scattering in the Tamm-Dancoff Approximation
    Shin Chiba, Miwae Yamazaki and Nobuyuki Fukuda
  4. Progress of Theoretical Physics Vol. 13 No. 2 (1955) pp. 200-204 :
    The D-Wave Contribution to Pion-Nucleon Scattering
    Taiji Yamanouchi and Nobuyuki Fukuda
  5. Progress of Theoretical Physics Vol. 15 No. 2 (1956) pp. 122-136 :
    Pion Theory of Nuclear Forces
    Kazuhiko Inoue, Shigeru Machida, Mitsuo Taketani and Toshiyuki Toyoda
  6. Progress of Theoretical Physics Vol. 17 No. 4 (1957) pp. 581-591 :
    Pion-Nucleon Scattering and Structure of Fourth-Order Matrix Elements in Ps(Ps) Meson Theory
    Kugao Nakabayasi and Kazu Hasegawa
  7. Progress of Theoretical Physics Vol. 17 No. 6 (1957) pp. 751-764 :
    Investigation of the Chew-Low Equation by Iteration
    Haruyuki Fujino and Jun'ichi Osada
  8. Progress of Theoretical Physics Vol. 18 No. 5 (1957) pp. 467-482 :
    Pion-Nulceon Scattering and the Structure of the Pion
    Shigeru Machida
  9. Progress of Theoretical Physics Vol. 20 No. 4 (1958) pp. 487-504 :
    Effect of the Non-relativistic Recoil of a Source Particle in Quantum Field Theories
    Jun'ichi Osada and Haruyuki Fujino
  10. Progress of Theoretical Physics Vol. 22 No. 3 (1959) pp. 381-395 :
    Pseudoscalar Coupling and S-Wave Pion-Nucleon and Kaon-Nucleon Scattering
    Reiji Sugano
  11. Progress of Theoretical Physics Vol. 23 No. 3 (1960) pp. 490-495 :
    S-Wave Pion-Nucleon Scattering
    Ken Kawarabayashi and Hironari Miyazawa
  12. Progress of Theoretical Physics Vol. 23 No. 6 (1960) pp. 1216-1218 :
    The Effect of π2 Term in the S-Wave π-N Scattering
    Isao Umemura
  13. Progress of Theoretical Physics Vol. 24 No. 3 (1960) pp. 495-511 :
    Collective Correlation between Vacuum Nucleons and the S-Wave Pion-Nucleon Scattering
    Osamu Hara
  14. Progress of Theoretical Physics Vol. 24 No. 5 (1960) pp. 1013-1032 :
    Isobar Model and the S-Wave Pion-Nucleon Scattering
    Yasunori Fujii

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