# On the Soliton Model of a Point Particle Spin

## TL;DR

This paper explores a soliton model of a point particle with spin, showing that relativistic effects and scalar field interactions influence the particle's energy states and intrinsic angular momentum, relevant for soliton spin models.

## Contribution

It introduces a soliton-based model of a point particle's spin considering relativistic effects and scalar field interactions, highlighting conditions where spin states have lower energy.

## Key findings

- Energy minimum at zero velocity is impossible for small rest mass particles.
- Under certain parameters, spin states have lower energy than steady states.
- The model suggests intrinsic angular momentum with a short orbital radius.

## Abstract

A system consisting of a point material particle and a scalar field described by the nonlinear Klein-Gordon equation has been considered. It has been shown that, when taking into account relativistic effects, in the case of small rest masses of a particle an energy minimum at zero velocity is impossible for such a particle. It has been proved that under certain parameters the spin state of a particle has a lower energy than its steady state does. Such a behavior is interesting for the construction of soliton models of spin. By a point particle spin an intrinsic angular momentum (orbital, in strict sense, but with a short orbital radius) of a point particle is meant.