CLASSIFICATION OF ROTATIONAL MOTIONS FOR THE BARYON MODEL TRIANGLE

A baryon model with three particles (quarks) pairwise connected by rel ativistic strings forming a curvilinear triangle is considered. The cl assical analytic solutions corresponding to a uniform plane rotation o f the system with arbitrary quark masses mi are found for this model. The sections of the related world surfaces by the plane t = const are curvilinear triangles composed of segments of a hypocycloid. A complet e classification of the types of motion is suggested, based on differe nces in topological configuration and the presence and number of inter ior massless points on the string that move at the velocity of light. The classification results from investigating the limiting states as m (i) -->0. The calculated energy dependence of the angular momentum of the motions creates possibilities to model baryon states on Regge traj ectories using these motions.