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Interaction of quarks in rotating frames described by the vector and scalar Cornell potentials is considered. The vector potential is defined similarly to the electromagnetic potential. The derived relativistic Hamiltonian in the Foldy-Wouthuysen representation is exact for terms of the zeroth and first orders in the Planck constant and for such terms of the second order which describe contact interactions. The classical limit of this Hamiltonian is also exact for terms of the zeroth and first orders in the Planck constant and is determined for the first time. The electromagnetic interaction is taken into account. General expressions for the angular velocity of spin precession are derived for both the vector and scalar Cornell potentials. For the both potentials, the dependence of the angular velocity of spin precession on the force acting on the quark is calculated. This force can be in principle determined with an analysis of experimental data. The energy of the spin-orbit interaction is rather high (of the order of 100 MeV).

Phenomenological description of electromagnetic and strong interactions in rotating frames at collisions of high energy nuclei