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Prog. Theor. Phys. Vol. 12 No. 6 (1954) pp. 767-788

[ Full Text PDF : FREE ACCESS (1470K) ]

Pion-Nucleon Scattering in the Tamm-Dancoff Approximation

Shin Chiba, Miwae Yamazaki and Nobuyuki Fukuda

Physics Department, Tokyo University of Education

(Received September 27, 1954)

Abstract:

The pion-nucleon scattering is treated in the Tamm-Dancoff approximation using the symmetrical ps-ps theory, with emphasis particularly on the renormalization procedure. The number of mesons and nucleon-pairs is restricted up to two and one, respectively, in every intermediate state. In order to perform the renormalization consistently, it is required to adopt the five-box approximation of Bethe and Dyson. But even in this case, the meson self-energy term is not treated consistently and should be discarded. A method is proposed to remove the overlapping divergences and it is shown that the Salam's procedure can be carried out in a closed form. The scattering phase shifts are evaluated and compared with experiments.


URL : http://ptp.ipap.jp/link?PTP/12/767/
DOI : 10.1143/PTP.12.767

[ Full Text PDF : FREE ACCESS (1470K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 13 No. 6 (1955) pp. 594-602 :
    On the Intermediate Coupling Theory of Pseudo-Scalar Meson Field and a Nucleon
    Daisuke Ito, Yoneji Miyamoto and Yukihiko Watanabe
  2. 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
  3. Progress of Theoretical Physics Vol. 18 No. 5 (1957) pp. 493-502 :
    Analysis of Neutron-Electron Interaction in the Relativistic Perturbation Theory
    Kin-ichi Ishida
  4. 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
  5. 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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