Production and Decay of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msubsup><mml:mi>Ω</mml:mi><mml:mi>c</mml:mi><mml:mn>0</mml:mn></mml:msubsup></mml:math>

We present an analysis of inclusive ${\ensuremath{\Omega}}_{c}^{0}$ baryon production and decays in $230.5\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$ of data recorded with the BABAR detector. ${\ensuremath{\Omega}}_{c}^{0}$ baryons are reconstructed in four final states (${\ensuremath{\Omega}}^{\ensuremath{-}}{\ensuremath{\pi}}^{+}$, ${\ensuremath{\Omega}}^{\ensuremath{-}}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{0}$, ${\ensuremath{\Omega}}^{\ensuremath{-}}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$, ${\ensuremath{\Xi}}^{\ensuremath{-}}{K}^{\ensuremath{-}}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{+}$) and the corresponding ratios of branching fractions are measured. We also measure the momentum spectrum in the ${e}^{+}{e}^{\ensuremath{-}}$ center-of-mass frame. From the spectrum, we observe ${\ensuremath{\Omega}}_{c}^{0}$ production from $B$ decays and in $c\overline{c}$ events, and extract the two rates of production.

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