Shell-model study of mirror nuclei with modern charge-dependent \textit{NN} potential

Abstract

The properties of $T=1/2$ mirror nuclei in the $fp$ shell have been studied with a microscopic residual interaction. The isospin-nonconserving interaction is derived from a high-precision charge-dependent Bonn \textit{NN} potential using the folded-diagram renormalization method. The level structures of the nuclei are calculated, obtaining excellent agreements with experimental observations till the $0f_{7/2}$ band termination. The role played by isospin symmetry breaking on ground-state displacement energies and mirror energy differences is discussed, which may help to explain the long-standing Nolen-Schiffer anomaly. Electromagnetic and weak transition properties are presented, with discussions on the asymmetry in analogous transitions.

Comments: 10 pages, 13 figures, 7 tables