Measurement of the Spin of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>Ω</mml:mi><mml:mo>−</mml:mo></mml:msup></mml:math>Hyperon

A measurement of the spin of the ${\ensuremath{\Omega}}^{\ensuremath{-}}$ hyperon produced through the exclusive process ${\ensuremath{\Xi}}_{c}^{0}\ensuremath{\rightarrow}{\ensuremath{\Omega}}^{\ensuremath{-}}{K}^{+}$ is presented using a total integrated luminosity of $116\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$ recorded with the BABAR detector at the ${e}^{+}{e}^{\ensuremath{-}}$ asymmetric-energy $B$ factory at SLAC. Under the assumption that the ${\ensuremath{\Xi}}_{c}^{0}$ has spin $1/2$, the angular distribution of the $\ensuremath{\Lambda}$ from ${\ensuremath{\Omega}}^{\ensuremath{-}}\ensuremath{\rightarrow}\ensuremath{\Lambda}{K}^{\ensuremath{-}}$ decay is inconsistent with all half-integer ${\ensuremath{\Omega}}^{\ensuremath{-}}$ spin values other than $3/2$. Lower statistics data for the process ${\ensuremath{\Omega}}_{c}^{0}\ensuremath{\rightarrow}{\ensuremath{\Omega}}^{\ensuremath{-}}{\ensuremath{\pi}}^{+}$ from a $230\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$ sample are also found to be consistent with ${\ensuremath{\Omega}}^{\ensuremath{-}}$ spin $3/2$. If the ${\ensuremath{\Xi}}_{c}^{0}$ spin were $3/2$, an ${\ensuremath{\Omega}}^{\ensuremath{-}}$ spin of $5/2$ could not be excluded.

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