Renormalized dipole moment operator in the second half of the2p−1fshell

Abstract

Renormalized single-particle matrix elements of the magnetic dipole moment operator for the (${2p}_{\frac{3}{2}}$, ${1f}_{\frac{5}{2}}$, ${2p}_{\frac{1}{2}}$) space are calculated in the framework of perturbation theory involving first- and second-order excitations from the ${1f}_{\frac{7}{2}}$ core. The calculated dipole matrix elements are consistent with the empirical values deduced from the observed $M1$ transitions as well as dipole moments in several Ni and Cu isotopes.[NUCLEAR STRUCTURE Renormalized magnetic dipole moment operator; restricted valence space spanned by the ${2p}_{\frac{3}{2}}$, ${1f}_{\frac{5}{2}}$, and ${2p}_{\frac{1}{2}}$ orbits; first- and second-order diagrams; empirical values of the effective $M1$ single-particle matrix elements.]