Abstract
A relativistic three-body model of the $\ensuremath{\pi}\ensuremath{-}d$ system is employed to calculate elastic scattering in the (3, 3) resonance region. The results demonstrate that this effect is not related to a resonance pole in the $\ensuremath{\pi}\ensuremath{-}d$ amplitude, and may be simply understood in terms of well known rescattering singularities. Related questions concerning convergence of the multiple scattering series and pion absorption are discussed.NUCLEAR REACTIONS $^{2,2}\mathrm{H}(\ensuremath{\pi}, \ensuremath{\pi})$; calculated scattering amplitudes in three-body system.
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