Abstract

Differential cross section measurements have been made for the giant resonance region (13.2--40 MeV) in $^{40}\mathrm{Ca}$ using 500 MeV protons with an experimental energy resolution of 70 keV. Fine structure was observed in this energy region. After fixing the energy weighted sum rule depletion for the isovector giant dipole resonance at 70%, energy weighted sum rules of 70\ifmmode\pm\else\textpm\fi{}14 % for the isoscalar giant quadrupole resonance and 15\ifmmode\pm\else\textpm\fi{}3 % for the isoscalar giant hexadecapole resonance were deduced. All of these energy weighted sum rule depletions agree well with theoretical predictions and results from other experiments.

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