  We present and discuss numerical predictions for the neutron density
distribution of $^{208}$Pb using various non-relativistic and relativistic
mean-field models for the nuclear structure. Our results are compared with the
very recent pion photoproduction data from Mainz. The parity-violating
asymmetry parameter for elastic electron scattering at the kinematics of the
PREX experiment at JLab and the neutron skin thickness are compared with the
available data. We consider also the dependence between the neutron skin and
the parameters of the expansion of the symmetry energy.
