Full Self-Consistent Study of Isobaric Analog Resonances

Abstract

Fully self-consistent framework for isobaric-analog resonances is presented. The chains of parent neutron-rich Ca, Ni, Sn nuclei around the neutron shells at $$N=20$$ , $$28$$ , $$34$$ , $$50$$ , $$82$$ , as well as the nuclei on the neutron-deficient side of these chains are treated in the Density Functional plus Continuum Quasi particle Random Phase Approximation (DF $$+$$ CQRPA). The recently established new Fayans functional DF3-f is applied for calculations in long isotopic chains including non-magic nuclei with pairing in both neutron and proton sectors. A comparison with the relativistic QRPA and SAMi $$+$$ RPA shows a robust performance and flexibility of the DF $$+$$ CQRPA. Constraining the strength of exchange Coulomb contribution from the binding energy splitting of the doublets and triplets of the mirror nuclei allows for better description of the IAR energies.