Symmetries of the Relativistic Two-Particle Model with Scalar-Vector Interaction

Abstract

A relativistic two-particle model with superposition of time-asymmetric scalar and vector interactions is proposed and its symmetries are considered. It is shown that first integrals of motion satisfy nonlinear Poisson-bracket relations which include the Poincaré algebra and one of the algebras so(1,3), so(4) or e(3).