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

TL;DR

This paper calculates the nucleon self-energy in low-energy pion photoproduction using helicity formalism and pseudovector coupling, incorporating non-perturbative effects and previous scattering data.

Contribution

It introduces a novel calculation of nucleon self-energy in pion photoproduction with a combined perturbative and non-perturbative approach.

Findings

Calculated scattering amplitude for $ ext{π}^+$ photoproduction.

Incorporated non-perturbative effects in the self-energy.

Used parameters from previous $ ext{π}$-N scattering studies.

Abstract

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