An Analysis of the Low Energy π-N Scattering

概要

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The π-N scattering below 500 MeV is investigated under the following assumptions: (I) Not only the nucleon and the pion but also unstable baryons and mesons contribute to the process. (II) Their dynamical behaviors in the process are determined by the lowest order matrix elements. (III) The higher order contributions are abandoned except for the damping effects. The contributions of the 1st-resonance (N^*), 2nd-resonance (N^<**>), a scalar meson with I=0 and a vector meson with I=1 are taken into account. From the analysis of both the I-spin flip and non-flip combinations of phase shifts up to the D(5/2) state, the following results are obtained: 1) For the explanation of the I-spin non-flip combination of phase shifts, a scalar meson with I=0 is required. 2) For the pion-nucleon interaction PV-type coupling must coexist with PS-type. 3) Two sets of coupling constants are found to fit the experiments. 4) The contribution of a vector meson with I=1 is favorable for the explanation of the I-spin flip combination of phase shifts but the contribution shows opposite sign to that given by Bowcock et al. This discrepancy originates mainly from the effects of N^<**> neglected in their analysis.
理論物理学刊行会の論文
1964-04-25