Reliability Analysis of the Results of the Known Experiments on Measuring of the Sachs Form Factor Ratio Using the Rosenbluth Technique. Polarization of the Final Proton in the $e \vec p \to e \vec p$ Elastic Process

TL;DR

This paper proposes a reliability criterion for measurements of the Sachs form factor ratio via the Rosenbluth technique, analyzing past experiments and recent JLab polarization data to assess measurement consistency and polarization transfer in elastic electron-proton scattering.

Contribution

It introduces a new criterion for evaluating the reliability of Sachs form factor ratio measurements and applies it to multiple experiments, including recent JLab polarization results.

Findings

The criterion helps identify inconsistencies in previous measurements.

Numerical calculations of polarization transfer are performed for specific kinematics.

Analysis of recent data supports the reliability of polarization transfer measurements.

Abstract

A criterion for assessing the reliability of measurements of the Sachs form factor ratio using the Rosenbluth technique is proposed and applied to an analysis of three known experiments (Andivahis1994, Walker1994, Qattan2005) and a recent experiment on the CEBAF accelerator upgraded to 12 GeV at JLab (arXiv:2103.01842 [nucl-ex]). Based on the results of the JLab polarization experiments on measuring the ratio $\mu_p G_E/G_M$ in the $\vec e p \to e \vec p$ process, in the kinematics of the SANE Collaboration experiment (2020) on the measurement of double spin asymmetry in the $\vec e \vec p \to e p$ process numerical calculations are performed for the $Q^2$ dependence of polarization transferred to the proton in the $e \vec p \to e \vec p$ process when the initial proton at rest is partially polarized along the direction of motion of the detected recoil proton.