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Abstract
We calculate the impact of the complete set of two-pion exchange contributions at
chiral order four (also known as next-to-next-to-next-to-leading order, N3LO) on peripheral
partial waves of nucleon-nucleon scattering. Our calculations are based upon the analytical
studies by Kaiser. It turns out that the contribution of order four is substantially
smaller than the one of order three, indicating convergence of the chiral expansion.
We compare the prediction from chiral pion-exchange with the corresponding one from
conventional meson-theory as represented by the Bonn Full Model and find, in general,
good agreement. Our calculations provide a sound basis for investigating the issue
whether the low-energy constants determined from pi-N lead to reasonable predictions
for NN.