Factorization ofMJπ→MJ′πResidues within the Veneziano Model

Abstract

The reactions ${M}^{J}\ensuremath{\pi}\ensuremath{\rightarrow}{M}^{{J}^{\ensuremath{'}}}\ensuremath{\pi}$ are analyzed for a class of mesons, ${M}^{J}$. Imposing the Veneziano form in one channel, the Regge residues at poles are required to satisfy factorization conditions. These conditions are expressed in terms of the residues of the invariant amplitudes of the processes, for various hypotheses about the spacing of contributing trajectories of opposite normality. We find that factorization in one channel only is consistent with the coupling of the lowest-spin kinematically allowed particles in each helicity amplitude.