  On the basis of the correspondence principle between the relativistic moving
medium electrodynamics and relativistic quantum field theory the covariant
Lagrangian of the electromagnetic field interaction with the polarized spin
particles have been obtained. This Lagrangian satisfies the main relativistic
quantum field theory requirements and contains four independent covariant spin
structures, which have particular physical meaning. It is shown that the spin
polarizabilities give the contribution to the amplitude for Compton scattering
on the spin-1/2 hadron in the ${\cal O}(\omega^3)$.
