  Within a few-body formalism, we develop a general theory of surrogate nuclear
and atomic reactions with the excitation of a resonance in the intermediate
binary subsystem leading to three charged particles in the final state. The
Coulomb interactions between the spectator and the resonance in the
intermediate state and between the three particles in the final state are taken
into account. Final-state three-body Coulomb multiple-scattering effects are
accounted for using the formalism of the three-body Coulomb asymptotic states
based on the work published by one of us (A.M.M.) under the guidance of L. D.
Faddeev. An expression is derived for the triply differential cross section. It
can be used for investigation of the Coulomb effects on the resonance line
shape as well as the energy dependence of the cross section. We find that
simultaneous inclusion of the Coulomb effects in the intermediate and final
state decreases the effect of the final-state Coulomb interactions on the
triply differential cross section.
