We study stationary relativistic scattering theory for a δ-sphere interaction formally given by the Hamiltonian H=HD+αδ(|x_|−R), x_∈R3, α∈R, R>0 with the boundary conditions of second type. First we give the mathematical definition of the model, self-adjointness of the Hamiltonian, indicial equation, stationary scattering theory and the spectral properties. Next we extend the model by adding a Coulomb potential and provide useful mathematical definitions and corresponding stationary scattering elements.

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