Abstract

A relativistic-rotator model for the internal structure of elementary particles has been developed by de Broglie, Bohm, Takabayasi, Halbwachs, Hillion and one of us (JPV). According to this theory, the internal-group symmetry of elementary particles L × L , where L stands for the proper homogeneous Lorentz group. The aim of this paper is to define by methods of group theory the operators P, C and T for this group and then to define them for the group representations. From these definitions the Bronzan-Low symmetry for strong interactions is derived, on the basis of a Yukawa-type four-dimensional strong-interaction model, developed recently by two of us (MF and JPV).

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