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 ${}_{17}F\text{−}{}_{17}O, {}_{15}O\text{−}{}_{15}N, {}_{41}\mathrm{Sc}\text{−}{}_{41}\mathrm{Ca}$, and ${}_{39}\mathrm{Ca}\text{−}{}_{39}K$ as typical examples. The magnitude and sign of the QCD-based CSB interactions are found to resolve the anomaly successfully within theoretical uncertainties.