Coexistence and $B$($E2$) values in ${}^{72}\mathrm{Ge}$

An earlier coexistence model of Ge nuclei is applied to $E2$ strengths connecting low-lying $0^{+}$ and $2^{+}$ states in ${}^{72}\mathrm{Ge}$. New data have smaller uncertainties and, for the first time, a value for the transition strength from the third $2^{+}$ state to the second $0^{+}$ state. This $B$($E2$) for the third $2^{+}$ state clearly indicates that it is the one that should be included in the mixing, rather than the second $2^{+}$ state. My results confirm that the $0^{+}$ states are maximally mixed, the $2^{+}$ states are weakly mixed, and the $E2$ matrix element involving the lower $0^{+}$ basis state is significantly larger than the one involving the second $0^{+}$ basis state.

Figure 1

The ratio of mixing amplitudes in the two lowest $0^{+}$ states in ${}^{72}\mathrm{Ge}$ is plotted vs the amplitude ratio for the first and third $2^{+}$ states for agreement with $E2$ matrix elements labeled 0–3 in Table 1. (See the text.)