Lagrange Triangle of Dirac Particles (A Model for the Three-Quark Problem)

摘要

An approximate model is constructed for a system of three Dirac particles of equal masses interacting mutually through a universal static two-body potential. The introduced approximation corresponds to characteristic features of the Lagrange exact solutions to the classical three-body problem, where three distances between three particles are kept equal all the time, although they are, in general, varying. Wave equations are found for the internal motion in the cases of spin 1/2 and spin 3/2. Radial equations are derived.