Resonance Structure of the Veneziano Model forp¯n→3πat Rest

We determine the resonance structure contained in the four-point Veneziano amplitude describing $\overline{p}n\to {\pi }^{+}{\pi }^{-}{\pi }^{-}$ at rest. The relative strengths of the resonances are obtained by partial-wave analysis of the amplitude with its imaginary part retained. The $\rho$, $f$, and $g$ mesons on the leading trajectory appear to be decoupled, and we find that the ancestor resonances do not exist. Spin-0 and spin-1 daughters are found to be dominant.