Pion-photon exchange nucleon-nucleon potentials

In chiral perturbation theory, the dominant next-to-leading-order correction to the πγ-exchange NN-potential proportional to the large isovector magnetic moment κv=4.7 of the nucleon is calculated. The corresponding spin-spin and tensor potentials V∼S,T(r) in coordinate space have a very simple analytical form. At long distances, r≅2 fm, these potentials are of similar size (but opposite in sign) as the leading-order πγ-exchange potentials. Effects from virtual Δ-isobar excitation are also considered, as well as other isospin-breaking contributions to the 2π-exchange NN potential induced by additional one-photon exchange