Abstract
The proton elastic scattering cross sections for $^{13}\mathrm{C}$ have been measure at eight angles for proton energies from 9.1 to 18.4 MeV. Angular distributions of cross sections and analyzing powers were measured at 20 angles in 7.5\ifmmode^\circ\else\textdegree\fi{} steps over the range of 30\ifmmode^\circ\else\textdegree\fi{} to 155\ifmmode^\circ\else\textdegree\fi{} at ten energies between 10 and 17.5 MeV. A spin-\textonehalf{} on spin-\textonehalf{} phase-shift analysis was performed starting with spin-\textonehalf{} on spin-0 phase shifts obtained from an optical model analysis. The transformation from the \textonehalf{} on 0 case to the \textonehalf{} on \textonehalf{} case, when the second \textonehalf{} spin is totally ineffective, is presented and utilized. The results suggest that broad resonances are present near ${E}_{x}=21.5$ MeV in $^{14}\mathrm{N}$.NUCLEAR REACTIONS $^{13}\mathrm{C}(\stackrel{\ensuremath{\rightarrow}}{p}, p)$; measured $\ensuremath{\sigma}(E, \ensuremath{\theta})$, $E=9.1\ensuremath{-}18.4$ MeV; measured $A(E, \ensuremath{\theta})$, $E=10\ensuremath{-}17.5$ MeV. Phase-shift analyzed. Examined for effects of broad resonances. Enriched targets.
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