Shape vibrations of topological fermions

TL;DR

This paper investigates the vibrational spectra of topological fermions modeled as solitons, revealing that the nature of the spectrum (discrete or continuous) depends on the potential term's power in the Lagrangian.

Contribution

It introduces an analysis of shape vibrations in topological fermions, highlighting how the potential's power parameter influences the vibrational spectrum.

Findings

Spectrum is discrete for m=1

Spectrum is continuous for m>1

Vibrational properties depend on potential parameter m

Abstract

We analyze the model of topological fermions, where charged fermions are treated as topological solitons. We discuss vibrations of soliton shapes. It is shown that depending on the power of the potential term (discrete parameter m) of the model Lagrangian the spectrum of normal mode frequencies can be discrete (for m = 1) or continuous (for integer m > 1).