Abstract
Coherence widths of the compound nucleus $^{32}\mathrm{S}$ were determined from excitation functions of the differential cross section for the reactions $^{31}\mathrm{P}(p,\ensuremath{\alpha})^{28}\mathrm{Si}$ and $^{16}\mathrm{O}(^{16}\mathrm{O},\ensuremath{\alpha})^{28}\mathrm{Si}$. The proton-induced reaction provided a lower average spin of the compound nucleus. Excitation functions were measured for $^{31}\mathrm{P}(p,\ensuremath{\alpha})^{28}\mathrm{Si}$ from 13.90- to 14.24- and from 26.62- to 30.56-MeV compound-nucleus energy. The average coherence widths were 11 \ifmmode\pm\else\textpm\fi{} 1.2 and 95 \ifmmode\pm\else\textpm\fi{} 15 keV, respectively. For the oxygen-induced reaction, excitation functions were measured from 28.99 to 34.42 MeV with a resulting 73 \ifmmode\pm\else\textpm\fi{} 7-keV coherence width, which is nearly the same as for the lower-spin proton-induced case.These coherence widths were used to test the Gilbert and Cameron level-density formulation. Good agreement with the above data was obtained if the compound nucleus $^{32}\mathrm{S}$ is considered to be spherical in this formulation. The increase in the calculated width for the $^{16}\mathrm{O}$ induced reaction with increasing excitation energy is greater than indicated by combining our data with another measurement at higher excitation.
Published Version
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