Within the framework of generalized Papapetrou method, we derive the
effective equations of motion for a string with two particles attached to its
ends, along with appropriate boundary conditions. The equations of motion are
the usual Nambu-Goto-like equations, while boundary conditions turn out to be
equations of motion for the particles at the string ends. The form of those
equations is discussed, and they are explicitly solved for a particular case of
a straight-line string rotating around its center. From this solution we obtain
the correction terms to the J∝E2 law describing Regge trajectories,
due to nonzero angular momenta of the particles.Comment: Proceedings of the BW2007 conference, 5 page