QCD sum rule approach to Okamoto-Nolen-Schiffer anomaly

A new framework is introduced to connect between a charge symmetry breaking (CSB) energy density functional (EDF) and the low-energy constants derived from quantum chromodynamics (QCD). By constructing a QCD-based CSB EDF, this method provides new insights into the Okamoto-Nolen-Schiffer anomaly, a long-standing puzzle in the energy differences of mirror nuclei that lacks a robust microscopic explanation. Using examples such as ${}^{17} \mathrm{F}$-${}^{17} \mathrm{O}$, ${}^{15} \mathrm{O}$-${}^{15} \mathrm{N}$, ${}^{41} \mathrm{Sc}$-${}^{41} \mathrm{Ca}$, and ${}^{39} \mathrm{Ca}$-${}^{39} \mathrm{K}$, we demonstrate that the proposed interaction effectively resolves the anomaly within the range of theoretical uncertainties.