Hyperfine splitting in highly charged ions provides a powerful probe for testing strong-field quantum electrodynamics and investigating nuclear structure. In this work, we theoretically investigate the hyperfine-resolved dielectronic recombination process near to the threshold for selected Li-like highly charged ions. Numerical computations were carried out using a multiconfiguration Dirac-Fock method to address dielectronic recombination resonances for Li-like ions. Our calculations reproduce the previous experimental results of Li-like ${}^{45}\mathrm{Sc}^{18+}$ ions with nuclear spin $I=\frac{7}{2}$ [M. Lestinsky et al., Phys. Rev. Lett. 100, 033001 (2008)]. We further extended the calculation to two highly charged heavy ions, Li-like ${}^{119}\mathrm{Sn}^{47+}$ ($I=\frac{1}{2}$) and ${}^{187}\mathrm{Re}^{72+}$ ($I=\frac{5}{2}$), revealing distinct hyperfine-split dielectronic recombination resonances in the low-energy region. These calculations identify promising candidate ions and provide theoretical guidance for high-resolution dielectronic recombination experiments using the new storage-ring merged-beam technique.

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• Autoionization & Auger processes
• Electron-ion collisions
• Fine & hyperfine structure
• Relativistic & quantum electrodynamic effects in atoms, molecules,& ions