  To investigate the existence of sterile neutrino, we propose a new neutrino
production method using $^{13}$C beams and a $^{9}$Be target for short-baseline
electron antineutrino (${\bar{\nu}}_{e}$) disappearance study. The production
of secondary unstable isotopes which can emit neutrinos from the $^{13}$C +
$^{9}$Be reaction is calculated with three different nucleus-nucleus (AA)
reaction models. Different isotope yields are obtained using these models, but
the results of the neutrino flux are found to have unanimous similarities. This
feature gives an opportunity to study neutrino oscillation through shape
analysis. In this work, expected neutrino flux and event rates are discussed in
detail through intensive simulation of the light ion collision reaction and the
neutrino flux from the beta decay of unstable isotopes followed by this
collision. Together with the reactor and accelerator anomalies, the present
proposed ${\bar{\nu}}_{e}$ source is shown to be a practically alternative test
of the existence of the $\Delta m^{2}$ $\sim$ 1 eV$^{2}$ scale sterile
neutrino.
