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.

• Received 22 July 2021
• Revised 31 August 2021
• Accepted 16 November 2021

DOI:https://doi.org/10.1103/PhysRevC.104.L061301