  We present moments and transition probabilities in the neighboring odd-mass
nuclei of $^{208}$Pb calculated fully self-consistently from the s.p.
properties of $^{208}$Pb with polarization corrections from its excitations,
both given from previous Skyrme-Hartree-Fock and RPA calculations. The electric
results agree nicely with the data with two very interesting exceptions. In the
magnetic case we obtain similar results. We discuss also polarization
contributions to the $l$-forbidden $M1$ transitions, which are, however, much
too small compared to the data. With a modified external field operator which
accounts effectively for mesonic and many-body effects the description of the
data can be substantially improved.
