Isobar Production and Elastic Scattering inp−pInteractions from 6 to 30GeVc

Differential cross sections have been measured for nucleon-isobar production and elastic scattering in $p-p$ interactions from 6.2 to 29.7 $\frac{\mathrm{GeV}}{c}$ in the laboratory angle range $8<\mathrm{}{\theta }_{\mathrm{sc}}<265\mathrm{}$ mrad. $N^{*}$' s at 1236, 1410, 1500, 1690, and 2190 MeV were observed. Computer fits to the mass spectra under varying assumptions of resonance and background shapes show that conclusions on $t$ and $s$ dependence are only slightly affected despite typical variations in absolute normalization of ± 35%. Logarithmic $t$ slopes in the small- $\mathrm{}\left|t\right|\mathrm{}$ range are $\sim 15 {\left(\frac{\mathrm{GeV}}{c}\right)}^{-2\mathrm{}}$ for the $N^{*}\mathrm{}\left(1410\right)\mathrm{}$, $\sim 5 {\left(\frac{\mathrm{GeV}}{c}\right)}^{-2\mathrm{}}$ for the $N^{*}$'s at 1500, 1690, and 2190 MeV, and $\sim 9 {\left(\frac{\mathrm{GeV}}{c}\right)}^{-2\mathrm{}}$ for elastic scattering. Also for the small- $\mathrm{}\left|t\right|\mathrm{}$ data, cross sections for $N^{*}$'s at 1410, 1500, 1690, and 2190 MeV and for elastic scattering vary only slightly with $P_{\mathrm{inc}}$ consistent with the dominance of Pomeranchuk exchange and with diffraction dissociation. A fit of $N^{*}\mathrm{}\left(1690\right)\mathrm{}$ total cross sections to the form ${\sigma }^{\propto }{P}^{-n}$ gives $n=0.34\mathrm{}\pm 0.06$, while for elastic scattering $n=0.20\mathrm{}\pm 0.05$. For the $N^{*}\mathrm{}\left(1690\right)\mathrm{}$ the effective Regge trajectory has the slope ${{\alpha }_{\mathrm{eff}}}^{\prime }\mathrm{}\left(0\right)=0.38\mathrm{}\pm 0.17$. When compared with $N^{*}$ production in ${\pi }^{-}$, $K^{-}$, and $\overline{p}$ beams these data also agree with approximate factorization of the Pomeranchuk trajectory. $N^{*}\mathrm{}\left(1236\right)\mathrm{}$ cross sections are consistent with other measurements at similar momenta. For $-t>\mathrm{}1\mathrm{} {\left(\frac{\mathrm{GeV}}{c}\right)}^{-2\mathrm{}}$, elastic scattering cross sections decrease approximately as ${P_{\mathrm{inc}}}^{-2\mathrm{}}$, and they and $N^{*}\mathrm{}\left(1500\right)\mathrm{}-$ and $N^{*}\mathrm{}\left(1690\right)\mathrm{}-$ production cross sections have $t$ slopes consistent with 1.6 ${\left(\frac{\mathrm{GeV}}{c}\right)}^{-2\mathrm{}}$.