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Angular Momentum and Discrete Symmetries in the Spinor Bethe-Salpeter Equation

Abstract The group-theoretical basis for the angular momentum reduction of the spinor Bethe-Salpeter equation is discussed. We construct amplitude of definite angular momentum by analogy to the nonrelativistic problem and discuss the differences. The additional decomposition because of discrete symmetries is explained. Finally, we relate the states to those obtained in the non-relativistic quark model.