Coulomb excitation of the $\left|T_z\right|=\frac{1}{2}$, $A=23$ mirror pair

Abstract

Background: Electric-quadrupole ($E2$) strengths relate to the underlying quadrupole deformation of a nucleus and present a challenge for many nuclear theories. Mirror nuclei in the vicinity of the line of $N=Z$ represent a convenient laboratory for testing deficiencies in such models, making use of the isospin-symmetry of the systems. Purpose: Uncertainties associated with literature $E2$ strengths in \textsuperscript{23}Mg are some of the largest in $T_z=\left|\frac{1}{2}\right|$ nuclei in the $sd$-shell. The purpose of the present work is to improve the precision with which these values are known, to enable better comparison with theoretical models. Methods: Coulomb-excitation measurements of ${}^{23}$Mg and ${}^{23}$Na were performed at the TRIUMF-ISAC facility using the TIGRESS spectrometer. They were used to determine the $E2$ matrix elements of mixed $E2$/$M1$ transitions. Results: Reduced $E2$ transition strengths, $B(E2)$, were extracted for \textsuperscript{23}Mg and \textsuperscript{23}Na. Their 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 studies.

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• Systematics of E2 strength in the sd-shell with the valence-space in-medium similarity renormalization group
• First Measurement of the $B(E2;3/2^{-}\to 1/2^{-})$ Transition Strength in ${}^7$Be: Testing Ab Initio Predictions for $A=7$ Nuclei

Cited by in corpus (8)

• Systematics of E2 strength in the sd-shell with the valence-space in-medium similarity renormalization group
• Deformed in-medium similarity renormalization group
• Study of structure and radii for ${}^{20-31}$Na isotopes using microscopic interactions
• High-precision spectroscopy of ${}^{20}$O benchmarking ab-initio calculations in light nuclei
• Nuclear structure properties of Si and P isotopes with the microscopic effective interactions
• ARIEL experiments and theory
• Isoscalar, isovector and orbital contributions in $M1$ transitions from analogous $M1$ and Gamow-Teller transitions in $T=\frac{1}{2}$ mirror nuclei
• Ab initio no-core shell-model study of ${}^{20-23}$Na isotopes