Abstract
The possibility of studying particle-like states near the Fermi surfaces of exotic nuclei by using measurements of heavy-ion-induced single-nucleon pickup reactions with in-flight separated rare-isotope beams is discussed. The analysis of an exploratory data set for the intermediate-energy $^{9}\mathrm{Be}$($^{20}\mathrm{Ne}$,$^{21}\mathrm{Na}$)$X$ proton pickup reaction measured using a $^{20}\mathrm{Ne}$ beam at 63 MeV per nucleon is reported. The data are compared with expectations based on model calculations of the transfer reaction cross sections and the $^{21}\mathrm{Na}$ residue spectroscopy prediction by the $\mathit{sd}$-shell model. The measured cross sections are broadly consistent with these expectations.
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