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{ Sc} $-$ { }^{ 41} \mathrm{ Ca} $, and $ { }^{ 39} \mathrm{ Ca} $-$ { }^{ 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.
Categories: nucl-th hep-lat hep-ph nucl-ex