Two-Pion-Exchange Effects inNNScattering and Consistency withπNScattering

Abstract

The two-pion-exchange contribution to nucleon-nucleon scattering has been recalculated using the method of Amati, Leader, and Vitale: previous errors have been eliminated. The new results show that low-energy pion-nucleon scattering phenomena and two-pion exchange effects in nucleon-nucleon scattering can be explained in a consistent way. The results also show that the two-pion parts of the $\mathrm{NN}$ phase shifts are dominated by the cross-channel $s$-wave contribution, in contrast to the results of Amati et al. The cutoff sensitivity of both the total and high-wave cross-channel contributions is examined, and arguments are presented to explain the strong sensitivity of the high-wave part.