Measurement of the Relative Branching Fraction of \boldmath $B_{s}^{0} \rightarrow J/\psi f_{0}(980), f_{0}(980) \rightarrow \p i^{+}\pi^{-}$ to $B_{s}^{0} \rightarrow J/\psi \phi, \phi \rightarrow K^{+}K^{-}$

Abstract

A measurement of the relative branching fraction of $B_{s}^{0} \rightarrow J/\ps i f_{0}(980), f_{0}(980) \rightarrow \pi^{+}\pi^{-}$ to $B_{s}^{0} \rightarrow J/\psi \phi, \p hi \rightarrow K^{+}K^{-}$ is presented. The decay mode $B_{s}^{0} \rightarrow J/\psi f_{0}(980)$ is an interesting mode since it is a CP-odd eigenstate which could be used in CP-violating studies. Using approximat ely 8 $\rm{fb}^{-1}$ of data recorded with the D0 detector at the Fermilab Tevatron Collider, a relative branching fraction of 0.210 $\pm$ 0.032\thinspace(stat) $\pm$ 0.036\thi nspace(syst) is found.