Angular Dependence of the Polarization Transfer to the Proton in the $e \vec p \to e \vec p$ Process

TL;DR

This paper analyzes how the polarization transfer to protons in electron-proton scattering depends on the scattering angle, revealing that deviations from Sachs form factor scaling significantly affect polarization transfer magnitudes.

Contribution

It provides a numerical analysis of polarization transfer dependence on scattering angle using experimental form factor parameterizations, highlighting the impact of Sachs form factor scaling violations.

Findings

Polarization transfer increases with scattering angle when Sachs form factor scaling is violated.

Deviations from dipole form lead to significant changes in polarization transfer magnitude.

Analysis based on JLab and SANE experimental data.

Abstract

The dependence of the longitudinal polarization transfer to the proton in the $ e \vec p \to e \vec p$ process on the proton scattering angle has been numerically analyzed for the case where the initial (at rest) proton is partially polarized along the direction of motion of the detected recoil proton. The analysis is based on the results of JLab polarization experiments on measuring the ratio of the Sachs form factors in the $\vec e p \to e \vec p$ process using the Kelly (2004) and Qattan (2015) parameterizations for their ratio, in the kinematics of the SANE Collaboration experiment (2020) on measuring the double spin asymmetry in the $\vec e \vec p \to e p$ process. It is shown that the violation of the scaling of the Sachs form factors leads to a significant increase in the magnitude of the polarization transfer to the proton in comparison with the case of dipole dependence.