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The interaction of an electromagnetic field with structural particles in the electrodynamics of hadrons is based on the main principles of relativistic quantum field theory. In the model conceptions, where basically the diagram technique is used, a number of features for the interaction of photons with hadrons have been determined [1, 2]. However, the diagram technique is mainly employed for the description of electromagnetic processes in the simplest quark systems. In the case of interaction for the electromagnetic field with complex quark-gluon systems in the low-energy region, the perturbative methods of QCD are nonapplicable. That is why, the low-energy theorems and sum rules were widely used lately [3–6]. In the present time, the low-energy electromagnetic characteristics which are connected with a hadron structure, such as the formfactor and polarizabilities, can be obtained from nonrelativistic theory [5]. Passing from the nonrelativistic electrodynamics to the relativistic field theory, one can use the correspondence principle. But it is necessary to investigate, step-by-step, a transition from the covariant Lagrangian formalism to the Hamiltonian one [7–9]. The determination of the interaction vertex of γphotons with protons taking the polarizabilities into account [10] has recently been used to fit experimental data on the Compton scattering on a proton in

ukrainian journal of physics

The Construction of Relativistically Invariant Equations of Motion and the Momentum Energy Tensor for Spin-1/2 Particles with Polarizabilities in an Electromagnetic Field