Interference Effects inρ-Meson Decay

In this paper, the asymmetry in the decay of the $\rho$ meson produced in the reaction ${\pi }^{-}+N\to \rho +N$ is studied in terms of interference effects due to the coherent production of pairs of pions in other isospin states. The hypotheses of a $\rho -\epsilon$ ($s$-wave, $T=0\mathrm{}$ pion pair) interference, a constant $\pi -\pi$ phase shift, and other mechanisms are studied. The theoretical predictions resulting from these models are compared with recent experimental results on the decay of the neutral and charged $\rho$ meson.