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Prog. Theor. Phys. Vol. 24 No. 5 (1960) pp. 980-990

[ Full Text PDF : FREE ACCESS (646K) ]

Some Considerations on the Low-Energy Pion-Nucleon Scattering

Kin-ichi Ishida

Faculty of Liberal Arts and Science, Yamagata University, Yamagata

(Received June 8, 1960)

Abstract:

The unsubtracted dispersion relations of Chew et al. are reinterpreted as the approximate equations for low-energy pion-nucleon scattering with the additional function only of invariant momentum transfer (κ2), in which the effect of the pion-pion interaction is partially included. Using this reinterpreted unsubtracted dispersion relations of Chew et al., we shall discuss the effect of the pion-pion interaction to the pion-nucleon scattering and the unsubtracted dispersion relations of Goldberger et al. for the forward pion-nucleon scattering in the laboratory system.


URL : http://ptp.ipap.jp/link?PTP/24/980/
DOI : 10.1143/PTP.24.980

[ Full Text PDF : FREE ACCESS (646K) ] Citation:

References:

  1. G. F. Chew, M. L. Goldberger, F. E. Low and Y. Nambu, Phys. Rev. 106 (1957), 1337[APS].
  2. M. L. Goldberger, H. Miyazawa and R. Oehme, Phys. Rev. 96 (1955), 986[APS].
  3. S. Minami, Prog. Theor. Phys. 23 (1960), 887[PTP].
  4. J. S. Kovacs, Phys. Rev. 93 (1954), 252[APS].
    F. J. Dyson, Phys. Rev. 99 (1955), 1037[APS].
    G. Takeda, Phys. Rev. 100 (1955), 440[APS].
    D. Ito, M. Yamazaki, T. Kobayashi and K. Mori, Prog. Theor. Phys. 22 (1959), 448[PTP].
    L. S. Rodberg, Phys. Rev. Lett. 3 (1959), 58[APS].
  5. P. Federbush, M. L. Goldberger and S. B. Treiman, Phys. Rev. 112 (1958), 642[APS].
    W. R. Frazer and J. R. Fulco, Phys. Rev. Lett. 2 (1959), 365[APS].
  6. K. Kawarabayashi and H. Miyazawa, Prog. Theor. Phys. 23 (1960), 490[PTP].
  7. S. Mandelstam, Phys. Rev. 112 (1958), 1344[APS]; ibid. 115 (1959), 1741[APS]; ibid. 115 (1959), 1752[APS].
  8. U. Haber-Schaim, Phys. Rev. 104 (1956), 1113[APS].
  9. I. Sato, A. Takahashi and Y. Ueda, Prog. Theor. Phys. 22 (1959), 617[PTP].
    K. Ishida, A. Takahashi and Y. Ueda, Prog. Theor. Phys. 23 (1960), 731[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 25 No. 2 (1961) pp. 294-296 :
    The Effect of Pion-Pion Interaction to the Pion-Nucleon Small P-Wave Phase Shifts
    Kin-ichi Ishida
  2. Progress of Theoretical Physics Vol. 25 No. 5 (1961) pp. 797-802 :
    The Effect of the Pion-Pion Interaction on the Pion-Nucleon Scattering
    Kin-ichi Ishida

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