Studies on Quark Confinement in a Proton on the Basis of Interaction Potential

Abstract

This study describes quark confinement in terms of linear interaction potentials. The three quarks in a proton are assumed to revolve around a common center and have masses determined as if they were Dirac particles. Under these assumptions, the magnetic moment of a proton is derived via Maxwell’s equations. Moreover, the rotational motion of the quarks can be thought of as an electrical current that induces a magnetic field. Thus, the scalar product of the magnetic moment and the magnetic field describes a linear interaction potential between the quarks that gives the mass of the proton. The proton mass as predicted by this physical model is in good agreement with experimental observations and requires no numerical calculations. Thus, the simple physical model suggests a solution for the problem of quark confinement by modeling the strong force as an interaction potential.