  Considering the recently obtained value of $\theta_{13}$ from Daya Bay and
other reactor experiments we have studied the prospects of considering
mono-energetic neutrino beam in studying $CP$ violation in the leptonic sector.
Using a neutrino beam from electron capture process for nuclei $^{110}_{50}$Sn
and $^{152}$Yb and considering two baselines - 130 Km and 250 Km with Water
Cherenkov detector, we have shown the discovery reach of $CP$ violation in
neutrino oscillation experiment. Particularly for $^{110}_{50}$Sn nuclei $CP$
violation could be found for about 80% of the possible $\delta$ values for a
baseline of 130 km with boost factor $\gamma = 500$. This result is obtained
with conservative choice of neutrino energy resolution using the possible
vertex resolution at the detector and taking into account beam spreading. The
nuclei $^{152}$Yb is although more suitable technically for the production of
mono-energetic beam, but is found to be not so suitable for good discovery
reach of $CP$ violation.
