Electromagnetic form factors and polarizations of non-Dirac particles with rest spin 1/2

TL;DR

This paper explores the theoretical implications of modeling nucleons as non-Dirac particles with rest spin 1/2, analyzing how this affects electromagnetic form factors and polarization measurements in electron-proton scattering.

Contribution

It demonstrates that elastic scattering formulas remain consistent regardless of whether nucleons are modeled as Dirac or non-Dirac particles with rest spin 1/2.

Findings

Form factor ratios are unaffected by the nucleon’s Lorentz group representation.

Theoretical foundations of polarization experiments are examined under non-Dirac assumptions.

Elastic scattering formulas are invariant across different Lorentz group representations.

Abstract

We consider one aspect of the theoretical foundations of polarization experiments on elastic scattering of electrons on protons yielding form factor ratios incompatible with those that are extracted from nonpolarization experiments. We analyze the consequences of abandoning the assumption that the nucleon is a Dirac particle. We show that the process of elastic scattering of electrons on nucleons is described by the same formulas, irrespective of the proper Lorentz group representation associated with the nucleon as a particle with the rest spin 1/2.