Abstract

The effect of nucleon recoil has been taken into account in the extended source theory of pion-nucleon scattering with PS-PV interaction Hamiltonian. We have compared the results onP-waves with experimental data and with the results of the Chew’s cut-off theory and discussed the influence of nucleon recoil in the determination of the renormalized coupling constant. In order to discuss, on the same theoretical line, the influence of nucleon recoil onS-phases, we have added to the PS-PV interaction Hamiltonian two terms, which are bilinear in the meson field, as can be obtained from a Dyson-Foldy transformation applied to the PS-PS coupling. The effect of nucleon recoil is found to be remarkable.

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