Excitation ofE2transitions inCa40by 334-MeV protons

Abstract

Measurements have been made of the inelastic cross sections and analyzing powers between 2° and 9° 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 $\beta R$ 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 ($\gamma$,${\gamma }^{\prime }$) reaction. A peak at 9.868 MeV is observed which can be described by an $L=(0\mathrm{} or 1)+2$ admixture. For the $L=2\mathrm{}$ component (i.e., $2^{+}$ state), we deduce $B\left(E2\mathrm{}\right)\mathrm{}\downarrow =2.0\mathrm{}\pm 0.4 e^2$ ${\mathrm{fm}}^4$.