Veneziano-Type Form Factors for the Pion

The scalar, pseudoscalar, vector, and axial-vector form factors of the pion are derived from (i) the Veneziano amplitudes for ${\pi }^{+}{\pi }^{-}\to {\pi }^{+}{\pi }^{-}$ and ${\pi }^{+}{\pi }^{-}\to {A_1}^{+}{\pi }^{-}$. (ii) the hypothesis of the partially conserved axial-vector current, and (iii) the requirement that a chirally conjugate pair of form factors should exhibit similar structures. The resulting form factors feature an infinite sequence of poles corresponding to daughters of specific spin and parity, and definite signature. Various predictions on the clashing-beam production of $2\pi$ and on $\rho$-meson coupling constants are given.