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.
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