Application of relativistic coupled-cluster theory to heavy atomic systems with strongly interacting configurations: Hyperfine interactions in ${}^{207}\mathrm{Pb}^{+}$

We report the results of our calculations of the magnetic dipole hyperfine constants for the ground and low-lying excited states of ${\mathrm{Pb}}^{+}$ using the relativistic coupled-cluster theory. The spectacular role of correlation effects particularly for the $6p_{3∕2}$ state is highlighted. The relative importance of core polarization and pair correlation effects have been studied and the result obtained for the ground state is different from that of ${\mathrm{Ba}}^{+}$, which has a single $s$ valence electron.

Figure 1

Goldstone diagrams representing core polarization in MBPT.

Figure 2

The ratios of pair-correlation and core-polarization effects with respect to the DF values.