Absorption of Positive Pions by Deuteron

Abstract

Absorption of positive pions by deuteron is studied in a theory based on a Lagrangian formalism for the\(\pi - \mathcal{N}\) interaction. Total cross-section, angular distribution and polarization are estimated from threshold to 300 MeV pion kinetic energy. Starting from the nonrelativistic limit of the PS(PV)\(\pi - \mathcal{N}\) interaction we take into account the Born term, the forward and backward rescattering pion terms, as well as the nucleon-nucleon rescattering in final state. We use different wave functions for the deuteron and for the two-proton final state which differ only at short distances. Conclusions are drawn about the sensitivity of theoretical results to the behaviour of\(\mathcal{N}\mathcal{N}\) wave functions at short distances. The results are compared to experimental data.