Levels of ${\mathrm{Cl}}^{33}$ from ${\mathrm{S}}^{32}(p, p){\mathrm{S}}^{32}$ and ${\mathrm{S}}^{32}(p, p^{\prime }\gamma ){\mathrm{S}}^{32}$

Differential cross sections for the elastic scattering of protons from ${\mathrm{S}}^{32}$ have been measured for the center-of-mass scattering angles 167.8°, 141.0°, 125.5°, 92.0°, and 63.9° for laboratory proton energies between 1.5 and 4.0 Mev. The cross sections for inelastic scattering to the 2.237-Mev level of ${\mathrm{S}}^{32}$ were also studied for incident proton energies between 2.7 and 3.8 Mev. These data were analyzed in terms of the single-level approximation of the dispersion theory. The results yield the following resonance energies (Mev) and assignments of spin and parity for the levels of the compound nucleus ${\mathrm{Cl}}^{33}$: 1.900 (${\frac{3}{2}}^{-}$), 2.310 (${\mathrm{½}}^{-}$), 2.578 (${\frac{5}{2}}^{-}, {\frac{7}{2}}^{-}$), 2.810* (${\frac{3}{2}}^{-}$), 2.895 (${\mathrm{½}}^{-}$), 2.902* (${\frac{5}{2}}^{-}, {\frac{7}{2}}^{-}$), 2.917* (${\frac{3}{2}}^{+}$), 3.094* (${\frac{5}{2}}^{-}$), 3.195* (${\frac{5}{2}}^{+}$), 3.273 (${\mathrm{½}}^{+}$), 3.379* (${\frac{7}{2}}^{-}$), 3.480 (${\frac{3}{2}}^{-}$), 3.570 (${\mathrm{½}}^{+}$), and 3.716* (${\frac{5}{2}}^{-}$). Those resonances which exhibit observable widths for inelastic scattering are designated in the above tabulation by an asterisk. The analysis of the angular dependence of the inelastic cross sections supports the assignment $2^{+}$ to the first excited state of ${\mathrm{S}}^{32}$.