Single-nucleon knockout reaction studies of the proton-dripline nuclei ${}^9\mathrm{C}$ and ${}^{13}\mathrm{O}$ suggest an appreciable suppression of spectroscopic factors. In this work, we calculate the one-neutron and one-proton spectroscopic factors for the mirror pair ${}^9\mathrm{C}\text{−}{}^9\mathrm{Li}$ and ${}^{13}\mathrm{O}$ using two variants of the continuum shell model: the complex-energy Gamow shell model and the real-energy shell model embedded in the continuum. Our results indicate that the continuum effects strongly suppress the spectroscopic factors of well-bound orbits in the dripline systems but have less impact on the spectroscopic factors of weakly bound states.

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• Direct reactions
• Nuclear many-body theory
• Shell model
• Spectroscopic factors & electromagnetic moments
• Unstable nuclei induced nuclear reactions
• 6 ≤ A ≤ 19
• Nuclear structure & decays