Ground-state magnetization ofBi209in a dynamic-correlation model

Abstract

The nuclear magnetization distribution and the magnetic moment of the ground state of ${}_{}{}^{209}{}_{}{}^{}\mathrm{Bi}$ are calculated within a dynamic-correlation model. The obtained ground-state magnetization reproduces successfully the hyperfine structure splitting (HFS) of mesonic and electronic ${}_{}{}^{209}{}_{}{}^{}\mathrm{Bi}$. The evaluated nuclear radius and the electric charge distribution are also in very good agreement with experimental data. The dynamic model is based on the introduction of configuration mixing wave functions (CMWF), generated by breaking the particle-hole symmetry of the ${}_{}{}^{208}{}_{}{}^{}\mathrm{Pb}$ closed-shell core via the two-body interaction. The 2-particle–1-hole states in this calculation are restricted to a 2ħω configuration space in the protons and in the neutrons. The particle-hole excitations, introduced by this nonperturbative approximation are of collective character and therefore can also be associated with the creation of virtual bosons in the dynamic nuclear structure calculation. In the framework of this dynamic nuclear model it is possible to set a realistic limit for the nuclear contributions for calculations of the ${}_{}{}^{209}{}_{}{}^{}\mathrm{Bi}_{}^{82+}{}_{}{}^{}$ hyperfine structure splitting, and therefore to allow, for the first time, a test of QED corrections in the strong magnetic field of high-Z atoms.