Fermion with Three Mass Parameters, P-Asymmetric Interaction with External Fields

Abstract

The theory of a P-asymmetric spin 1/2 fermion with three mass parameters is developed. It is based on 20-component representation of the Lorentz group. Starting with the Gel’fand - Yaglom approach, we derive a spin-tensor form of a generalized wave equation. In absence of external electromagnetic fields, the system of equation can be transformed to the form of three separate P-asymmetric Dirac-like equations for bispinor wave functions with different masses. The values of masses values vary within some freedom, determined by parameters of the model.