QCD sum rule approach to Okamoto-Nolen-Schiffer anomaly

Abstract

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.

Comments: 8 pages, 2 figures, 2 tables; 10th International Conference on Quarks and Nuclear Physics (QNP2024)