The Self-energy of Nucleon for the Photon-proton Elastic Scattering and the Electromagnetic Polarizability

TL;DR

This paper investigates how the proton's self-energy influences photon-proton elastic scattering and calculates electromagnetic polarizabilities using perturbation theory, revealing deviations from classical Thomson scattering at low energies.

Contribution

It introduces a perturbative approach to incorporate proton self-energy effects into elastic scattering and polarizability calculations, extending previous models.

Findings

Self-energy modifies the shape of Thomson scattering at low energies.

Electromagnetic polarizabilities are calculated using lowest-order perturbation.

Deviations from classical scattering are observed at photon energies approaching zero.

Abstract

The effect of the self-energy on the photon-proton elastic scattering is investigated for the backward and the forward directions. The shape of the Thomson scattering at the photon energy $\omega \to 0$ is broken by taking into account the self-energy of proton. The electromagnetic polarizabilities $\bar{\alpha}\pm\bar{\beta}$ are calculated by the lowest-order perturbative treatment.