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.
Published Version
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