“Helicoidal Model of the Nucleon” Oliver Consa oliver.consa@gmail.com Department of Physics and Nuclear Engineering (UPC) Spain, January 2015 Abstract This work is an extension of the Helical Electron Model (proposed by the same author), applied to protons and neutrons. Radius of the Nucleon The Helical Model of the Electron [1] postulated that the electron is a unit charge point particle that orbits at the speed of light around a point in space, forming a vortex or current loop. The circular motion of the charge creates an angular momentum and its associated magnetic moment. By analogy we assume that all subatomic particles have the same structure as the Helical Electron, differing mainly by their charge and mass. The proton and neutron follow the same model of the electron, with radius equal to its reduced Compton wavelength. Compton wavelength is inversely proportional to the mass, so subatomic particles are smaller the higher is its mass. Both the proton and the neutron are about 2,000 times smaller than the electron. This size coincides with the experiments performed by Rutherford about the atomic nucleus, which is in the order of 1 fm. The exact value of the radius internationally accepted is 0,8768 fm. In 2010 [2] an experiment with Muonic Hydrogen was published, obtaining a result of 0,8418 fm for the proton radius. The experiment was repeated in 2013 [3] increasing the resolution and ultimately obtaining a value of 0,8408 fm. This value represents a difference of 4% compared to the calculated value according to previous experiments. This difference is considered excessive and has not yet been explained. The problem is known as "proton radius puzzle". The radius of the Helical Proton is just its reduced Compton wavelength, equivalent to 0.2103 fm As a curiosity, if we multiply this radius by 4, we obtain the value of 0.8412 fm, which fits perfectly with the new measurements of the radius of the proton.