# Polarization observables for elastic electron scattering off a moving nucleon

## TL;DR

This paper derives comprehensive formulas for polarization observables in elastic electron-nucleon scattering, applicable to moving nucleons and general reference frames, enhancing the understanding of scattering processes.

## Contribution

It provides the first general expressions for polarization observables in elastic electron-nucleon scattering without assuming a stationary nucleon or specific coordinate systems.

## Key findings

- Derived formulas are valid for any frame of reference.
- Formulas are applicable to inverse scattering processes.
- Enhances theoretical understanding of polarization effects.

## Abstract

General expressions for all parity-conserving polarization observables of elastic electron-nucleon scattering in the one-photon exchange approximation are derived for a general frame of reference, i.e.\ not assumming scattering off a nucleon at rest and not specializing to a specific system of coordinates. Essentially, the given expressions are also valid for the inverse process, i.e.\ nucleon scattering off electrons.