The masses of the mesons and baryons. Part III. The size of the particles

TL;DR

This paper estimates the size of stable elementary particles like protons using a standing wave model, showing that their size aligns with the measured proton radius based on radiation pressure and elastic forces in a nuclear lattice.

Contribution

It introduces a model linking particle size to radiation pressure and elastic forces, providing a theoretical estimate consistent with experimental measurements.

Findings

Particle size is approximately 10^(-13) cm.

Radiation pressure balances elastic forces in the nuclear lattice.

Model's size estimate agrees with measured proton radius.

Abstract

The size of the stable elementary particles is investigated with the standing wave model. The particle size follows from the magnitude of the radiation pressure. It is shown that the outward directed radiation pressure is balanced by the inward directed elastic force per unit area in the cubic nuclear lattice, provided that the sidelength of the lattice is 10^(-13) cm, which agrees with the measured radius of the proton r = 0.8 \times 10^(-13) cm, within the uncertainty of the parameters.