Saved in:
| Main Author: | |
|---|---|
| Format: | Recurso digital |
| Language: | |
| Published: |
Zenodo
2026
|
| Subjects: | |
| Online Access: | https://doi.org/10.5281/zenodo.19626114 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Table of Contents:
- <p><strong>Title:</strong> Detecting Electron Soliton Structure via Polarized Sub-MeV Scattering</p> <p><strong>Author:</strong> Alexander Novickis (alex.novickis@gmail.com)</p> <p>We propose an experimental test of the Hopf soliton model of the electron: polarized Moller scattering at beam energies of 5--10 MeV. In the Hopf framework (Paper I [1]), the electron is a toroidal $H = 1$ soliton with internal structure at the Compton wavelength scale $\bar{\lambda}_C = 386$ fm. The Cho-Faddeev-Niemi decomposition provides geometric suppression of the electric form factor ($G_E = 1 + \mathcal{O}(10^{-14})$) while preserving the full spatial structure of the magnetic form factor ($F_M$ drops to 0.5 at $q = 0.52$ MeV, with magnetic charge radius $r_M = 850 \pm 100$ fm). We identify three observables: (1) the longitudinal double-spin asymmetry deviation $\delta A_{LL} \sim 0.9\%$ at $E = 5$ MeV; (2) the transverse single-spin asymmetry $A_n \sim 10^{-4}$, enhanced approximately two orders of magnitude over the QED one-loop value; and (3) the characteristic $q$-dependent shape $(1 + q^2 r_M^2 / 12)^{-2}$, which distinguishes the soliton signal from flat QED radiative corrections. Statistical detection requires $\sim 1.5 \times 10^5$ events, but systematic separation from QED backgrounds necessitates an energy scan over 1--10 MeV. The prediction is consistent with all existing precision measurements ($g-2$, Lamb shift, Bhabha scattering), which probe either $q = 0$ or $q \gg 1$ MeV where $F_M \to 0$.</p> <p>Key results include:</p> <ul> <li>The electron in the Hopf soliton framework has internal structure at the Compton wavelength scale ($\sim 386$ fm)</li> <li>The electric form factor is topologically protected: $G_E = 1 + \mathcal{O}(10^{-14})$ -- undetectable by any existing experiment</li> <li>The magnetic form factor retains structure: $F_M$ drops to 0.5 at $q \sim 0.52$ MeV, with $r_M = 850 \pm 100$ fm</li> <li>All existing facilities operate above the soliton structure scale ($q \gg 1$ MeV), where $F_M \to 0$</li> <li>A 5 MeV polarized Moller scattering experiment predicts a $\sim 0.9\%$ asymmetry deviation</li> <li>The transverse single-spin asymmetry $A_n$ is enhanced by approximately two orders of magnitude over QED one-loop</li> <li>Statistical detection requires only $\sim 1.5 \times 10^5$ events, but systematic control via an energy scan requires $\sim 1$ week of beam time</li> <li>This is the most practical near-term test of the Hopf soliton framework</li> </ul> <p><strong>Keywords:</strong> physics, electron, form factor, scattering, experimental prediction, soliton, Hopf, polarization</p> <p><strong>Series:</strong> Paper XC in the Hopf Soliton Programme</p>