IHEP 96 - 55
	L.D. Solovev
	Quantization of the Relativistic Rotator with Masses and Spins
	Protvino, 1996.- p.33, refs.:27.

The notion of the relativistic rotator with masses and spins is introduced to describe the spectrum of hadrons lying on the leading Regge trajectories. A simple example of the rotator is a rigid straight-line string with the Nambu-Goto interaction to the ends of which massive point particles with spins 1/2 are attached. For the general rotator the constraints between its quanonical variables are obtained as a consequence of the symmetry of the rotator action. These Hamiltonian constraints contain the spin constraints of the rotator Lagrangian. The rotator Hamiltonian is found and the relativistic-invariant quantization of the rotator is carried out. The conservation of the spin constraints is equivalent to the supersymmetry of the rotator action. The consistancy of quantization put further limitations on the action. As an application spinless rotator and rotator with one spin 1/2 are analysed. In the latter case after quantization the Regge trajectory is degenerate with respect to the orbital spin. The importance of this degeneracy for the comparison with experiment and further development of the string model of confinement are discussed.

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