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Many-body nuclear theory utilizing microscopic or chiral potentials hasdeveloped to the point that collectivity might be dealt with in an {\it abinitio} framework without the use of effective charges; for example with theproper evolution of operators, or alternatively, through the use of anappropriate and manageable subset of particle-hole excitations. We present aprecise determination of $E2$ strength in $^{22}$Mg and its mirror $^{22}$Ne byCoulomb excitation, allowing for rigorous comparisons with theory. No-coresymplectic shell-model calculations were performed and agree with the new$B(E2)$ values while in-medium similarity-renormalization-group calculationsconsistently underpredict the absolute strength, with the missing strengthfound to have both isoscalar and isovector components.

Testing microscopically derived descriptions of nuclear collectivity: Coulomb excitation of 22Mg