  The KIDS framework for the nuclear equation of state (EoS) and energy density
functional (EDF) offers the possibility to explore systematically the effect of
EoS parameters on predictions for a variety of observables. The EoS parameters
can be varied independently of each other and independently of assumptions
regarding the in-medium nucleon effective mass. Here I present a pilot study of
the neutron skin thickness (NST) in nuclei of current interest. The results
indicate that variations of the symmetry energy slope parameter L by roughly 10
MeV and variations of the droplet-model counterpart of the curvature parameter
$K_\tau$ by roughly 20 MeV affect predictions by comparable amounts. However,
structural details may also have sizable effects on predictions, notably in the
cases of $^{68}$Ni and $^{208}$Pb. This work is part of a systematic
investigation of the NST within the KIDS framework and of a broader effort to
constrain the density dependence of the nuclear symmetry energy.
