String barionic model “triangle”

A considered barionic model consists of three point-like masses (quarks) bounded pairwise by relativistic strings that form a curvilinear triangle. Classical solutions for this model, corresponding to a planar uniform rotation about the system center of mass, are found and investigated. Together with the simplest state – rotating the curvilinear triangle – more complicated configurations are possible, which contain a set of internal massless points moving with the speed of light. In the zero quark mass limit the closed string has a form of a rotating hypocycloid. The possibility of describing barionic states on the Regge trajectories by these solutions is considered.