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March 31, 20260 citationsOpen Access

Baryon Magnetic Moments in a Two-Zone Kelvin-Voigt Vortex Model

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DLDmitrii Stanislavovich Losinets

Key Points

  • To develop a phenomenological model for baryon structure using a vortex analogy based on Kelvin-Voigt mechanics.
  • Developed a two-zone vortex model for nucleons using classical electron scattering data.
  • Modeled magnetic and electric properties of baryons based on the vortex's geometry.
  • Applied the model to various baryons, analyzing charge and magnetic moments.
  • The model's predictions match experimental magnetic moment ratios for nucleons.
  • Found inconsistencies in magnetic moments for Sigma triplet baryons, suggesting a different charge-distribution geometry.
  • No physical solution for Xi doublet baryons, indicating a distinct internal structure possibly involving more zones.

Abstract

This paper develops a phenomenological model of nucleon structure based on the Kelvin-Voigt (K-V) mechanical analogy for Maxwell's equations. Each nucleon (proton or neutron) is represented as a single Hill-type vortex in a viscoelastic medium, divided into two concentric zones: a compact inner core and an extended outer mantle. The sizes of these zones are taken directly from classic electron-scattering data on the charge distribution inside the proton and neutron. Within the K-V framework, both the electric charge and the magnetic moment of a vortex arise from the same underlying rotation. Requiring each zone to carry equal charge leads, without any free parameters, to a simple geometric prediction: the ratio of the two zones' magnetic moments must equal the ratio of their radii. This prediction agrees quantitatively with experiment. The model is then applied to strange baryons. For the Lambda hyperon, it yields a falsifiable relation between the magnetic and charge form factors, testable at future electron-hyperon scattering facilities. For the Sigma triplet, the equal-charge ansatz is found to be quantitatively inconsistent with measured magnetic moments, implying that the charge-distribution geometry differs from the nucleon case. For the Xi doublet, the ansatz produces no physical solution at all, suggesting a qualitatively different internal structure - possibly involving more than two zones or a different vortex topology. The pattern of outcomes across the baryon octet - exact success at zero strangeness, partial failure at one unit of strangeness, and complete failure at two - is itself interpreted as a systematic diagnostic of how strange quarks modify baryon structure, and motivates concrete experimental targets at facilities such as PANDA at FAIR. The model is explicitly phenomenological and is not proposed as a fundamental theory, but offers an intuitive geometric picture that may be valuable for educational purposes.

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Cite This Study

Dmitrii Stanislavovich Losinets (2025) studied this question.

synapsesocial.com/papers/69cb6526e6a8c024954b92e7https://doi.org/10.5281/zenodo.19312454
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