An approach is proposed to link the charge symmetry breaking (CSB) nuclear interaction and the low-energy constants in quantum chromodynamics (QCD) by matching the CSB effect in nuclear matter. The resulting CSB interaction is applied to study the Okamoto-Nolen-Schiffer anomaly, still lacking a satisfactory microscopic understanding, on the energy differences of mirror nuclei by taking ${}^{17}\mathrm{F}\text{−}{}^{17}\mathrm{O}, {}^{15}\mathrm{O}\text{−}{}^{15}\mathrm{N}, {}^{41}\mathrm{Sc}\text{−}{}^{41}\mathrm{Ca}$, and ${}^{39}\mathrm{Ca}\text{−}{}^{39}\mathrm{K}$ as typical examples. The magnitude and sign of the QCD-based CSB interactions are found to resolve the anomaly successfully within theoretical uncertainties.

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• Coulomb energies & analogue states
• Nuclear forces
• Nuclear many-body theory
• Nucleon-nucleon interactions
• Quantum chromodynamics
• Sum rules
• Chiral symmetry
• Nuclear density functional theory