  In this study, we investigate the nonleptonic decays of the charmed-baryon
Xi^ {0} _ c induced by the c -> u(d\bar{d})/(s\bar{s}) transition. Utilizing
the factorization assumption, we decompose the decay amplitudes in terms of
transition form factors which are then calculated within the light-front quark
model. We employ helicity amplitudes to analyze the nonleptonic decay modes of
the charmed-baryon Xi^ {0} _c and derive benchmark results for decay widths and
branching fractions. Our calculations suggest that the branching fractions for
some of these rare nonleptonic decays are at the order of 10^ {-4} - 10^ {-3},
which are likely to be detectable at experiments such as LHCb or BESIII. The
potential data accumulated in the future may help to further our understanding
of the decay mechanism in the presence of charm quarks.
