On the Soliton Model of a Point Particle Spin

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.