Abstract

The pionic disintegration of the deuteron and its inverse process are studied in a covariant theory from threshold to 300 MeV pion kinetic energy. The singularity structure of the scattering amplitude as found from box diagrams makes it possible to select the leading contributions that come from the nucleon pole, the deuteron structure and the NN and NN π intermediate states. The latter is treated as an NN ∗ state where N ∗ is the (3.3) pion nucleon resonance. Dispersion relations are written for partial wave amplitudes and the contribution of the NN ∗ state to unitarity is explicitly calculated, taking into account the spin and the unstability of N ∗. A detailed comparison in the medium energy region shows a good agreement with the existing data.

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