String baryon model “triangle”

Abstract

In this paper, consideration is given to a baryon model in which three material points (quarks) are pairwise connected by relativistic strings forming a curvilinear triangle. For this model, we found and studied classical solutions corresponding to a uniform rotation of the system in a plane about the center of mass. Along with the simplest state—a rotating curvilinear triangle with smooth sides—there can be more complicated configurations characterized by the motion, at the velocity of light, of some interior massless points of the string. In the limit, the closed string takes the form of a rotating hypocycloid as the quark masses tend to zero.

The possibility of describing baryon states on Regge trajectories with the help of the above-mentioned solutions is analyzed.