Mixing of higher-$J$ states in ${}^{\mathbf{72}}\mathbf{Ge}$

Using published $E2$ matrix elements, I have determined the amount of mixing between the lowest two $2^{+},4^{+}$, and $6^{+}$ states in ${}^{72}\mathrm{Ge}$. I also extracted the $E2$ strengths connecting the unmixed states. One set of basis states is found to form an excellent $K=0$ rotational band, and the other is found to form a $K=2$ band.

Figure 1

Relevant levels in ${}^{72}\mathrm{Ge}$ with arrows indicating the pertinent transitions.