0(+)(gs) --> 2(+)(1) excitations in the mirror nuclei 32Ar and 32Si.

We measured the strength of the ${0}_{\mathrm{gs}}^{+}\ensuremath{\rightarrow}{2}_{1}^{+}$ excitations in the radioactive mirror nuclei ${}^{32}\mathrm{Ar}$ and ${}^{32}\mathrm{Si}$ using the techniques of intermediate-energy Coulomb excitation for ${}^{32}\mathrm{Ar}$ and inelastic proton scattering in inverse kinematics for ${}^{32}\mathrm{Si}$. The ${}^{32}\mathrm{Ar}$ measurement, taken together with previously existing Coulomb excitation data for ${}^{32}\mathrm{Si}$, yields the isoscalar and isovector multipole matrix elements for the ${0}_{1}^{+}\ensuremath{\rightarrow}{2}_{1}^{+}$ transition between $T\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}2$ states in the $A\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}32$ system. The proton scattering measurement for ${}^{32}\mathrm{Si}$, when combined with the Coulomb excitation data for this nucleus, yields a ratio of neutron and proton matrix elements, ${M}_{n}{/M}_{p}$, for ${}^{32}\mathrm{Si}$.