Abstract
In this paper we prove new and interesting isospin bounds in pion-nucleon scattering and we investigate their saturations using the CERN-phase shift analysis. These isospin bounds are saturated exactly along certain lines in the ( P LAB, cosθ)-plane and impose strong constraints on experimental data and amplitude analyses. Also, we obtain all constraints on data and amplitude analysis when different isospin bounds are saturated or degenerated.
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