Abstract
The equivalent-potential method is extended to permit a calculation of $\ensuremath{\pi}N$ states with $J=l+\frac{1}{2}$. With the potential given by nucleon and ${N}^{*}(1238)$ exchange, there are no free parameters in the calculation. The ${N}^{*}$ is then "predicted" at a mass of 1100 MeV. The nonresonant phase shifts also agree in a general way with the results of phase-shift analysis; in particular, the ${S}_{11}$ scattering length has the correct sign, while $\frac{N}{D}$ calculations produce the wrong sign. It is argued that this result indicates that the force due to iteration of the potential, included in this method but not in $\frac{N}{D}$, can be important.
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