Nuclear isovector valence-shell excitation of Hg202

Excited states of $^{202}\mathrm{Hg}$ have been studied via the $^{12}\mathrm{C}(^{202}\mathrm{Hg},^{202}\mathrm{Hg}^{*})$ Coulomb excitation reaction at a beam energy of 890 MeV. The $\ensuremath{\gamma}$-ray transitions from the excited states of $^{202}\mathrm{Hg}$ were detected by the Gammasphere array. The intensities of the observed $\ensuremath{\gamma}$ rays determined the relative populations of the excited states which were used to extract the absolute $M1$ and $E2$ transition strength distributions for excited ${2}^{+}$ states of $^{202}\mathrm{Hg}$ up to 2 MeV. The measured absolute $B(M1;{2}_{7}^{+}\ensuremath{\rightarrow}{2}_{1}^{+})$ strength of $0.18(8){\ensuremath{\mu}}_{\mathrm{N}}^{2}$ indicates that the ${2}_{7}^{+}$ level of $^{202}\mathrm{Hg}$ is the main fragment of the proton-neutron mixed-symmetry ${2}_{1,\mathrm{ms}}^{+}$ state. Upper limits for the $F$-spin mixing matrix elements of ${}^{202,204}\mathrm{Hg}$ are determined as well.