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.Comment: 22 pages RevTex including 11 figure
