  Migdal effect is attracting interests because of the potential to enhance the
sensitivities of direct dark matter searches to the low mass region. In spite
of its great importance, the Migdal effect has not been experimentally observed
yet. A realistic experimental approach towards the first observation of the
Migdal effect in the neutron scattering was studied with Monte Carlo
simulations. In this study, potential background rate was studied together with
the event rate of the Migdal effect by a neutron source. It was found that a
table-top sized $\sim (30\rm cm )^3$ position-sensitive gaseous detector filled
with argon or xenon target gas can detect characteristic signatures of the
Migdal effect with sufficient rates (O($10^2\sim10^3$) events/day). A
simulation result of a simple experimental set-up showed two significant
background sources, namely the intrinsic neutrons and the neutron induced
gamma-rays. These background rates were found to be much higher than those of
the Migdal effect in the neutron scattering. As a consequence of this study, it
is concluded that the experimental observation of the Migdal effect in the
neutron scattering can be realized with a good understanding and reduction of
the background.
