Speenless particle motion equations in the electromagnetic field considering dipole polarizability

Using the relativistic Lagrange–Euler equations, the equations of motion for a charged structural particle of a spin 0 in the electromagnetic field are obtained. The Lagrangian of the electromagnetic field interaction with a structural spinless particle contains dipole polarizabilities that are consistent with polarizabilities which are included in the amplitude of Compton scattering on a spinless particle. This Lagrangian and the amplitude are obtained based on the gauge-invariant approach and on the solution of electrodynamic equations using the Green function method.