Abstract
Mattis and Braaten have derived a linear relation among partial-wave amplitudes for meson-baryon reactions which is valid in the limit ${N}_{c}\ensuremath{\rightarrow}\ensuremath{\infty}$, where ${N}_{c}$ is the number of quark colors. From this they establish the selection rule ${I}_{t}={J}_{t}$ found previously by Mattis and Mukerjee. Using the new relation, I present a simplified derivation of earlier results for the spin-projection amplitudes in meson-baryon reactions. Consequently, the ${I}_{t}={J}_{t}$ selection rule may be confronted with experimental data even when a partial-wave analysis is unavailable.
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