Abstract
The Bethe-Salpeter equation for coupled-channel N-\ensuremath{\Delta} scattering is extended to satisfy unitarity in the NN and NN\ensuremath{\pi} sectors. The procedure eliminates the unitarity violations characteristic of the standard ladder Bethe-Salpeter equation in the inelastic region, and improves the description of pion production near threshold. Results are presented for the NN phase shifts and a number of observables up to 1 GeV. In particular, the $^{1}\mathrm{D}_{2}$ inelasticity is found to be considerably smaller than found from phase shift analysis. In this context, the importance of the pion deuteron channel for the inelasticity parameter is pointed out.
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