Integral equations in the quantum scattering problem for a system of three charged particles

Lippmann–Schwinger integral equations are obtained for the operators $R_0$ and $R_\alpha$ in terms of which the kernels of the modified Faddeev integral equations for a system of three charged particles are described. The smoothness properties and the coordinate asymptotic behavior of the kernels of $R_0$ and $R_\alpha$ in the configuration space are investigated.