  We present a unified description of the relativistic piNN and gamma-piNN
systems where the strong interactions are described non-perturbatively by
four-dimensional integral equations. Our formulation obeys two and three-body
unitarity and is strictly gauge invariant with photons coupled to all possible
places in the strong interaction model. At the same time our formulation is
free from the overcounting problems plaguing four-dimensional descriptions of
piNN and gamma-piNN systems. The accurate nature of our description is achieved
through the use of the recently introduced gauging of equations method.
