Two-neutron knockout as a probe of the composition of states in ${}^{22}$Mg, ${}^{23}$Al, and ${}^{24}$Si

Abstract

Simpson and Tostevin proposed that the width and shape of exclusive parallel momentum distributions of the A-2 residue in direct two-nucleon knockout reactions carry a measurable sensitivity to the nucleon single-particle configurations and their couplings within the wave functions of exotic nuclei. We report here on the first benchmarks and use of this new spectroscopic tool. Exclusive parallel momentum distributions for states in the neutron-deficient nuclei ${}^{22}$Mg, ${}^{23}$Al, and ${}^{24}$Si populated in such direct two-neutron removal reactions were extracted and compared to predictions combining eikonal reaction theory and shell-model calculations. For the well-known ${}^{22}$Mg and ${}^{23}$Al nuclei, measurements and calculations were found to agree, supporting the dependence of the parallel momentum distribution width on the angular momentum composition of the shell-model two-neutron amplitudes. In ${}^{24}$Si, a level at 3439(9) keV, of relevance for the important ${}^{23}$Al(p,$\gamma$)${}^{24}$Si astrophysical reaction rate, was confirmed to be the $2_2^{+}$ state, while the $4_1^{+}$ state, expected to be strongly populated in two-neutron knockout, was not observed. This puzzle is resolved by theoretical considerations of the Thomas-Ehrman shift, which also suggest that a previously reported 3471-keV state in ${}^{24}$Si is in fact the ($0_2^{+}$) level with one of the largest experimental mirror-energy shifts ever observed.

Accepted for publication in Phys. Rev. C as a Rapid Communication

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• High-precision mass measurement of ${}^{24}$Si and a refined determination of the $rp$ process at the $A=22$ waiting point
• In-beam $\gamma$-ray spectroscopy of ${}^{32}$Mg via direct reactions
• Nuclear structure properties of Si and P isotopes with the microscopic effective interactions
• Coexisting normal and intruder configurations in ${}^{32}$Mg