NN¯→3πamplitudes and the symmetric-group dual resonance model

Annihilation processes $N\overline{N}\to 3\pi$ are compared to a suitably adapted symmetric-group dual resonance model for pion-pion elastic scattering in which the over-all normalization is the only free parameter. The fits are found to be rather unsuccessful, essentially because of the absence of odd daughter trajectories, and it is shown that there is no way of obtaining a better result from this model, even by the usual artifice of completely eliminating the $\rho$ trajectory.