Quasirotational States in Various String Hadron Models and Regge Trajectories

Abstract

The relativistic string with massive ends describing the meson and four various string baryon models (quark‐diquark, linear, three‐string and triangle) are considered. For all these systems the rotational motions or planar uniform rotations are used for describing orbitally excited hadron states on the Regge trajectories. We analyze small disturbances of these rotations (quasirotational states) with different methods. This study demonstrates that the classical rotational motions for the meson‐like model and the triangle string baryon model are stable, but they are unstable for the linear configuration (q‐q‐q) and for the three‐string (Y). For the latter two models the spectrum of the quasirotational oscillations contains exponentially growing modes. But for the string with massive ends we have two types of these modes describing stationary waves without growth. The obtained quasirotational states are useful for quantization and describing higher radial hadron excitations.