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${}^{20}\mathrm{O}(d,p){}^{21}\mathrm{O}$ transfer reactions are describedusing momentum-space Faddeev-type equations for transition operators andincluding the vibrational excitation of the ${}^{20}\mathrm{O}$ core. Theavailable experimental cross section data at 10.5 MeV/nucleon beam energy forthe ${}^{21}\mathrm{O}$ ground state $\frac52^+$ and excited state $\frac12^+$are quite well reproduced by our calculations including the core excitation.Its effect can be roughly simulated reducing the single-particle cross sectionby the corresponding spectroscopic factor. Consequently, the extraction of thespectroscopic factors taking the ratio of experimental data and single-particlecross section at this energy is a reasonable procedure. However, at higherenergies core-excitation effects are much more complicated and have no simplerelation to spectroscopic factors. We found that core-excitation effects arequalitatively very different for reactions with the orbital angular momentumtransfer $\ell=0$ and $\ell=2$, suppressing the cross sections for the formerand enhancing for the latter, and changes the shape of the angular distributionin both cases. Furthermore, the core-excitation effect is a result of acomplicated interplay between its contributions of the two- and three-bodynature.

Core-excitation effects in ${}^{20}\mathrm{O}(d,p){}^{21}\mathrm{O}$ transfer reactions: Suppression or enhancement?