  We consider gauged skyrmions with boundary conditions which break the gauge
from $\mathrm{SU}(2)$ to $\mathrm{U}(1)$ in models derived from Yang-Mills
theory. After deriving general topological energy bounds, we approximate charge
$1$ energy minimisers using KvBLL calorons with non-trivial asymptotic
holonomy, use them to calibrate the model to optimise the ratio of energy to
lower bound, and compare them with solutions to full numerical simulation.
Skyrmions from calorons with non-trivial asymptotic holonomy exhibit a non-zero
magnetic dipole moment, which we calculate explicitly, and compare with
experimental values for the proton and the neutron. We thus propose a way to
develop a physically realistic Skyrme-Maxwell theory, with the potential for
exhibiting low binding energies.
