Excitations of Rotational States in String Model of Meson and in Three-string Baryon Model

Abstract

For the relativistic string with massive ends, the three-string baryon model and other string models of the baryon the small disturbances of well known rotational motions are considered. For the string meson model the two types of these disturbances (quasirotational motions) are obtained. They are oscillatory motions in the form of stationary waves in the rotational plane and in the orthogonal direction. These solutions may be used for describing more wide spectrum of hadron excitations and for the quantization of this nonlinear system. For three-string baryon model or Y configuration these quasirotational motions are more complicated and contain the branch with growing amplitudes. This consideration proves that for the three-string model with both massless and massive ends the rotational motions are unstable on the classical level.