Polarized e-p Elastic Scattering in the Collider Frame

TL;DR

This paper derives covariant formulas for polarized electron-proton elastic scattering in collider kinematics, compares parity-violating and conserving processes, and applies models relevant to future collider experiments like the EIC.

Contribution

It provides new covariant expressions for double-polarization e-p scattering in collider setups, extending previous results and including modern form factor models.

Findings

Derived covariant formulas for collider kinematics

Compared parity-violating and conserving scattering processes

Applied models relevant to EIC collider experiments

Abstract

Double polarization elastic e-p cross sections and asymmetries are considered in collider kinematics. Covariant expressions are derived for the general situation involving crossed beams; these are checked against the well-known results obtained when the proton is at rest. Results are given using modern models for the proton electromagnetic form factors for kinematics of interest in e-p colliders such as the EIC facility which is in its planning stage. In context, parity-violating elastic e-p scattering is compared and contrasted with these double-polarization (parity-conserving) results.