Abstract
The one-pion exchange (OPE) amplitude with sharp cutoff at $b=1$ F explains well the reaction $\mathrm{pp}\ensuremath{\rightarrow}p{N}^{*}(1238)$ between 3 and 15 GeV/c. Similar good results are obtained with the absorption model. The unmodified OPE amplitudes violate unitarity in the entire 3-15-GeV/c momentum range, mainly for impact parameters below $b=0.5$ F. The sharp-cutoff and absorption amplitudes satisfy the unitarity condition in the same momentum range. The one-pion exchange with absorption corrections cannot explain the reactions $\mathrm{pp}\ensuremath{\rightarrow}p{N}^{*}(1410)$, $\mathrm{pp}\ensuremath{\rightarrow}p{N}^{*}(1518)$, and $\mathrm{pp}\ensuremath{\rightarrow}p{N}^{*}(1688)$ between 4 and 30 GeV/c.
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