DESCRIPTION OF A COMPOSITE PARTICLE IN TERMS OF A FUNCTIONAL POTENTIAL WELL

Abstract

A covariant two-particle wave equation of the following form is investigated:[Formula: see text]where Dk is the Dirac operator (γμpμ – im)k and F(ψ) is a functional "potential well", Ψαa. is interpreted as a probability amplitude and transforms as a spinor on both indices. ψ is the internal wave function depending only on the relative coordinates. This equation provides a covariant model which exhibits nonlocal interactions and can be studied by relatively simple methods. The investigation is primarily methodological. The physical model is similar to the Fermi–Yang pion and like it, is qualitative and not based on fundamental theory.