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We present a measurement of the relative branching fraction, ${R}_{{f}_{0}/\ensuremath{\phi}}$, of ${B}_{s}^{0}\ensuremath{\rightarrow}J/\ensuremath{\psi}{f}_{0}(980)$, with ${f}_{0}(980)\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$, to the process ${B}_{s}^{0}\ensuremath{\rightarrow}J/\ensuremath{\psi}\ensuremath{\phi}$, with $\ensuremath{\phi}\ensuremath{\rightarrow}{K}^{+}{K}^{\ensuremath{-}}$. The $J/\ensuremath{\psi}{f}_{0}(980)$ final state corresponds to a $CP$-odd eigenstate of ${B}_{s}^{0}$ that could be of interest in future studies of $CP$ violation. Using $8\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$ of data recorded with the D0 detector at the Fermilab Tevatron Collider, we find ${R}_{{f}_{0}/\ensuremath{\phi}}=0.275\ifmmode\pm\else\textpm\fi{}0.041(\mathrm{stat})\ifmmode\pm\else\textpm\fi{}0.061(\mathrm{syst})$.

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