Abstract
Two-pion-exchange contributions to $\mathrm{NN}$ and $\overline{N}N$ scattering at around 2.6 $\frac{\mathrm{BeV}}{c}$ are calculated. It is found that the two-pion-exchange mechanism accounts for roughly half of each of the absorptive forward elastic amplitudes, and that the imaginary part of the forward amplitude for the charge-exchange process $\mathrm{np}\ensuremath{\rightarrow}\mathrm{pn}$ can be attributed entirely to two-pion exchange. The method of calculation entails a spinless approximation, the purpose of which is to clarify the physical analysis at the expense of little loss of numerical accuracy. As a byproduct of this method, the distorted-wave one-pion-exchange prediction for the reaction $\ensuremath{\pi}N\ensuremath{\rightarrow}{f}^{0}{N}^{*}(1238)$ is very simply verified.
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