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The scattering amplitude of the photoproduction of $\pi^{+}$ is calculatedusing the helicity formalism. The pseudovector coupling $\pi$-N interactionwith the non-perturbative term is applied to the perturbative expansion. Theparameters for the self-energy are taken from the results of the $\pi$-Nscattering in our previous study.

The Self-energy of Nucleon for the Photoproduction of Pion in the Low-energy Region