Confining potential and mass of elementary particles

TL;DR

This paper proposes a model where elementary particle masses are stabilized by a confining potential generated through recoil momentum from virtual boson emission, with potential forms depending on the spectrum of emitted bosons.

Contribution

It introduces a novel model linking particle mass stabilization to recoil-induced confining potentials and calculates the potential's form based on boson emission spectra.

Findings

Confining potential can be proportional to R^3 or R^2.

Potential form depends on whether the boson spectrum is continuous or discrete.

The model provides a new perspective on mass formation and stabilization.

Abstract

In this paper we consider a model in which the masses of elementary particles are formed and stabilized thanks to confining potential, which is caused by recoil momentum at emission of specific virtual bosons by particle itself. The calculation of this confining potential is carried out. It is shown that $\Phi$(R) may be in the form const $R^3$ or const $R^2$ depending on continuous or discrete nature of the spectrum of emitted bosons.