Mixing Ratios of Transitions in $^{\mathrm{116}}$Sn

The $\beta $ decay of $^{\mathrm{116m1,g}}$In to $^{\mathrm{116}}$Sn, observed at TRIUMF-ISAC utilizing the 8$\pi $ array of 20 HPGe detectors augmented with 5 Si(Li) detectors, produced a high statistics data set from which E2/M1 mixing ratios from $\gamma \gamma $ angular correlations were obtained. Several new mixing ratios of transitions among the I$^{\mathrm{\pi }} \quad =$ 4$^{\mathrm{+}}$ states were measured for the first time. In addition, the E0 component of the 4$_{\mathrm{2}}^{\mathrm{+}} \quad \to $ 4$_{\mathrm{1}}^{\mathrm{+}}$ transition was determined. Previous analyses of $^{\mathrm{116}}$Sn have explained the nature and mixing of the 4$^{\mathrm{+}}$ states on the basis of shared phonon strength [1,2]. The results presented here indicate that models of $^{\mathrm{116}}$Sn should explore alternative interpretations of their character. This observation has implications for ongoing theoretical and experimental research on $^{\mathrm{116}}$Sn and neighboring tin isotopes. [1] H. Wienke \textit{et al}., Nucl. Phys. A 405, 237 (1983) [2] S. Raman \textit{et al.}, Phys. Rev. C 43, 521 (1991)