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Background: Recent developments in {it ab initio} nuclear theory demonstrate promising results in medium- to heavy-mass nuclei. A particular challenge for many of the many-body methodologies, however, is an accurate treatment of the electric-quadrupole, $E2$, strength associated with collectivity. Purpose: In this work we present high-precision $E2$ data for the mirror nuclei $^{23}$Mg and $^{23}$Na for comparison with such theory. We interpret these results in combination with other recent measurements performed by the collaboration and the available literature. Methods: Coulomb-excitation measurements of $^{23}$Mg and $^{23}$Na were performed at the TRIUMF-ISAC facility using the TIGRESS spectrometer and were used to determine the $E2$ matrix elements of mixed $E2$/$M1$ transitions. Results: $E2$ transition strengths were extracted for $^{23}$Mg and $^{23}$Na. Transition strength ($B(E2)$) precision was improved by factors of approximately six for both isotopes, while agreeing within uncertainties with previous measurements. Conclusions: A comparison was made with both shell-model and {it ab initio} valence-space in-medium similarity renormalization group calculations. Valence-Space In-Medium Similarity-Renormalization-Group calculations were found to underpredict the absolute $E2$ strength - in agreement with previous results - but a full analysis of $sd$-shell nuclei found no indication of an isovector component to the missing strength. Comparison with full configuration interaction and coupled cluster calculations in the case of $^{14}$C indicates that correlated multi-particle multi-hole excitations are essential to the reproduction of quadrupole excitation amplitudes.
Electromagnetic observables are able to give insight into collective and emergent features in nuclei, including nuclear clustering. These observables also provide strong constraints for ab initio theory, but comparison of these observables between th
The large reported $E2$ strength between the $2^+$ ground state and $1^+$ first excited state of $^8$Li, $B(E2; 2^+ rightarrow 1^+)= 55(15)$ e$^2$fm$^4$, presents a puzzle. Unlike in neighboring $A=7-9$ isotopes, where enhanced $E2$ strengths may be
The reduced transition probability B(E2) of the first excited 2+ state in the nucleus 104Sn was measured via Coulomb excitation in inverse kinematics at intermediate energies. A value of 0.163(26) e^2b^2 was extracted from the absolute cross-section
The form factor of the electromagnetic excitation of $^{12}$C to its 2$^+_1$ state was measured at extremely low momentum transfers in an electron scattering experiment at the S-DALINAC. A combined analysis with the world form factor data results in
Background: The B(E2) transition strength to the 2+_2 state in 94Zr was initially reported to be larger by a factor of 1.63 than the one to the 2+_1 state from lifetime measurements with the Doppler-shift attenuation method (DSAM) using the (n,ngamma