  We implement an independent-atom and independent-electron model to
investigate the collision systems of He$^{2+}$ and He$^{+}$ ion projectiles
impinging on a neon dimer target. The dimer is set to be stationary at its
equilibrium bond length with the projectile traveling parallel to the dimer
axis at a speed corresponding to the collision energy of 10 keV/amu. Two
approaches called multinomial and determinantal are used as an analysis of
these collisions. Each of the analyses is broken down into two types of models
that do not and do include a change in the projectile charge state due to
electron capture from the dimer. All calculations are performed using both a
frozen atomic target and a dynamic response model using the coupled-channel
two-center basis generator method for orbital propagation. All one- and two-
electron removal processes are calculated, though particular attention is paid
to those that result in the Ne$^{+}$-Ne$^{+}$ fragmentation channel due to its
association with interatomic Coulombic decay (ICD). We confirm in all analyses
and models that Ne(2$s$) electron removal is strong so that ICD will contribute
to dimer fragmentation as has been previously demonstrated. The model that
takes into account the change in projectile charge state indicates that there
is a pure ICD yield when utilizing a He$^{+}$ projectile.
