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Electromagnetic observables are able to give insight into collective andemergent features in nuclei, including nuclear clustering. These observablesalso provide strong constraints for ab initio theory, but comparison of theseobservables between theory and experiment can be difficult due to the lack ofconvergence for relevant calculated values, such as $E2$ transition strengths.By comparing the ratios of $E2$ transition strengths for mirror transitions, wefind that a wide range of ab initio calculations give robust and consistentpredictions for this ratio. To experimentally test the validity of these abinitio predictions, we performed a Coulomb excitation experiment to measure the$B(E2; 3/2^- \rightarrow 1/2^-)$ transition strength in $^7$Be for the firsttime. A $B(E2; 3/2^- \rightarrow 1/2^-)$ value of $26(6)(3) \, e^2\mathrm{fm}^4$ was deduced from the measured Coulomb excitation cross section.This result is used with the experimentally known $^7$Li $B(E2; 3/2^-\rightarrow 1/2^-)$ value to provide an experimental ratio to compare with theab initio predictions. Our experimental value is consistent with thetheoretical ratios within $1 \sigma$ uncertainty, giving experimental supportfor the value of these ratios. Further work in both theory and experiment cangive insight into the robustness of these ratios and their physical meaning.

First Measurement of the $B(E2; 3/2^- \rightarrow 1/2^-)$ Transition Strength in $^7$Be: Testing Ab Initio Predictions for $A=7$ Nuclei