  We report on our studies of the neutron-skin effects in high-$p_{\mathrm{T}}$
observables at the LHC. We study the impact of the neutron-skin effect on the
centrality dependence of inclusive direct photon, high-$p_{\mathrm{T}}$ hadron
and $W^{\pm}$ production in nuclear collisions at the LHC. The neutron-skin
effect refers to the observation that in spherical heavy nuclei, the tail of
the neutron distribution extends farther than the distribution of protons,
which can affect observables sensitive to electroweak phenomena in very
peripheral collisions. We quantify this effect for direct photons, charged
hadrons and W bosons as a function of the collision centrality. In the case of
direct photons we find that it will be difficult to resolve the neutron-skin
effect, given the uncertainties in the nuclear PDFs and their spatial
dependence. With charged hadrons and W's, however, up to 20~\% unambiguous
effects are expected for most peripheral collisions.
