Background: Thick-target-induced nucleon-adding transfer reactions ontoenergetic rare-isotope beams are an emerging spectroscopic tool. Theirsensitivity to single-particle structure complements one-nucleon removalreaction capabilities in the quest to reveal the evolution of nuclear shellstructure in very exotic nuclei. Purpose: To add intermediate-energy,carbon-target-induced one-proton pickup reactions to the arsenal of$\gamma$-ray tagged direct reactions applicable in the regime of low beamintensities and to apply these for the first time to $fp$-shell nuclei.Methods: Inclusive and partial cross sections were measured for the$\nuc{12}{C}(\nuc{48}{Cr},\nuc{49}{Mn}+\gamma)$X and$\nuc{12}{C}(\nuc{50}{Fe},\nuc{51}{Co}+\gamma)$X proton pickup reactions at56.7 and 61.2 MeV/nucleon, respectively, using coincident particle-$\gamma$spectroscopy at the NSCL. The results are compared to reaction theorycalculations using $fp$-shell-model nuclear structure input. For comparisonwith our previous work, the same reactions were measured on \nuc{9}{Be}targets. Results: The measured partial cross sections confirm the specificpopulation pattern predicted by theory, with pickup into high-$\ell$ orbitalsbeing strongly favored; driven by linear and angular momentum matching.Conclusion: Carbon target-induced pickup reactions are well-suited, in theregime of modest beam intensity, to study the evolution of nuclear structure,with specific sensitivities that are well described by theory.
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