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It is generally believed that the $\rho^0 - \omega$ interference is thedominant mechanism underlying the violation of the isospin invariance in the $NN$ system. Assessed in this paper is the role which the mechanism might play ina potential departure from the isospin symmetry in the two $\pi^\pm p$elastic-scattering reactions.

The contribution of the $\rho^0 - \omega$ interference to the violation of the isospin invariance in the $\pi N$ system