QCD-based charge symmetry breaking interaction and the Okamoto-Nolen-Schiffer anomaly

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 ${}^{17}\mathrm{F}$-${}^{17}\mathrm{O}$, ${}^{15}\mathrm{O}$-${}^{15}\mathrm{N}$, ${}^{41}\mathrm{S}\mathrm{c}$-${}^{41}\mathrm{C}\mathrm{a}$, and ${}^{39}\mathrm{C}\mathrm{a}$-${}^{39}\mathrm{K}$ as typical examples. The magnitude and sign of the QCD-based CSB interactions are found to resolve the anomaly successfully within theoretical uncertainties.