Renormalized off-energy-shell Coulomb scattering

The complex-energy distorted plane waves for scattering via a general class of two-body Coulomb-like potentials are shown to satisfy off-energy-shell Lippmann-Schwinger equations in the case of two particle scattering and appropriately iterated Weinberg-Van Winter and Faddeev equations in the case of three particle scattering. A renormalized off-energy-shell formalism is defined for scattering involving more than one charged fragment in either the incoming or outgoing channel. The existence of limit to real energies of the normalized off-energy-shell formalism is verified