Abstract: An anomaly in the energy differences of mirror nuclei, not yet well understood from a microscopic point of view, was found more than 50 years ago and is called the Okamoto-Nolen-Schiffer (ONS) anomaly. A systematic study from light to heavy nuclei within the framework of the independent-particle model finds that the theoretical values of the energy difference underestimate the experimental values by 3–9%. 

The aim of this research is to apply a quantum chromodynamics (QCD) sum rule approach to derive charge symmetry breaking (CSB) interaction by making a quantitative link between the Skyrme-type energy density functional (EDF) and the CSB effect due to the u-d quark mass difference and the chiral condensation in QCD.

I will discuss application of QCD-based CSB to cure the ONS anomaly of mirror nuclei with mass A=16+/-1 and 40+/-1 nuclei. Further development of QCD sum rule approach for charge independence breaking (CIB) interaction and CSB interaction in hypernuclei will be also mentioned.

References: HS, T. Naito, X. Roca-Maza, and T. Hatsuda, Phys. Rev. C 109 L011302 (2024).