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We present a measurement of the relative branching fraction, R_{f_{0}/phi},of B_{s}^{0} to J/\psi f_{0}(980), with f_{0}(980) to pi^+ pi^-, to the processB_{s}^{0} to J/psi phi, with phi to K^+K^-. The J/psi f_{0}(980) final statecorresponds to a CP-odd eigenstate of B_{s}^{0} that could be of interest infuture studies of CP violation. Using approximately 8fb^-1 of data recordedwith the D0 detector at the Fermilab Tevatron Collider, we find R_{f_{0}/phi} =0.275 +- 0.041(stat) +- 0.061(syst).

Measurement of the relative branching ratio of B^0_s to J/psi f_{0}(980) to B_{s}{0} to J/psi phi