Shell-model study of spectroscopies and isospin structures in odd-odd $N=Z$ nuclei employing realistic \emph{NN} potentials

Abstract

The structures of odd-odd $N=Z$ nuclei in the lower \emph{fp} shell have been investigated with a new isospin-nonconserving microscopical interaction. The interaction is derived from a high-precision charge-dependent Bonn nucleon-nucleon potential using the folded-diagram renormalization method. Excellent agreements with experimental data have been obtained up to band terminations. Particularly, the relative positions of T=0 and T=1 bands were well reproduced. Calculations with another interaction obtained from the Idaho-A chiral potential showed similar results. Our calculations also give a good description of the existence of high-spin isomeric states in the $0f_{7/2}$ sub-shell. As examples, the spectroscopies and isospin structures of $^{46}$V and $^{50}$Mn have been discussed in detail, with the useful predictions of level structures including electromagnetic properties. Results for $^{50}$Mn were analyzed where experimental observations are still insufficient.