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.

• Received 30 May 2023
• Revised 16 October 2023
• Accepted 22 December 2023

DOI:https://doi.org/10.1103/PhysRevC.109.L011302