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Using 116.1 fb^-1 of data collected by the BABAR detector,
we present an analysis of Xic0 production in B decays and
from the ccbar continuum, with the Xic0 decaying into
Omega- K+ and Xi- pi+ final states. We measure the ratio
of branching fractions B(Xic0 -> Omega- K+)/B(Xic0 -> Xi- pi+)
to be 0.294 +- 0.018 +- 0.016, where the first uncertainty
is statistical and the second is systematic. The Xic0
momentum spectrum is measured on and 40 MeV below the
Upsilon(4S) resonance. From these spectra the branching
fraction product B(B -> Xic0 X) x B(Xic0 -> Xi- pi+)
is measured to be (2.11 +- 0.19 +- 0.25) x 10^-4
and the cross-section product
sigma(e+ e- -> Xic0 X) x B(Xic0 -> Xi- pi+)
from the continuum is measured to be (388 +- 39 +- 41) fb
at a center-of-mass energy of 10.58 GeV.
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