Abstract

Measurements have been made of the inelastic cross sections and analyzing powers between 2\ifmmode^\circ\else\textdegree\fi{} and 9\ifmmode^\circ\else\textdegree\fi{} for nine ${2}^{+}$ states in $^{40}\mathrm{Ca}$ with excitation energies below 10.0 MeV excited by 334-MeV protons. The data can be well described by macroscopic distorted-wave Born approximation calculations. In general the $\ensuremath{\beta}R$ values deduced from the analysis are in agreement with those obtained by other means. We do not observe a ${2}^{+}$ state at 6.422 MeV recently reported in a study of the ($\ensuremath{\gamma}$,${\ensuremath{\gamma}}^{\ensuremath{'}}$) reaction. A peak at 9.868 MeV is observed which can be described by an $L=(0 or 1)+2$ admixture. For the $L=2$ component (i.e., ${2}^{+}$ state), we deduce $B(E2)\ensuremath{\downarrow}=2.0\ifmmode\pm\else\textpm\fi{}0.4 {e}^{2}$ ${\mathrm{fm}}^{4}$.

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