A search for the exotic meson $X(5568)$ with the Collider Detector at Fermilab

A search for the exotic meson $X(5568)$ decaying into the $B^0_s pi^{pm}$ final state is performed using data corresponding to $9.6 textrm{fb}^{-1}$ from $p{bar p}$ collisions at $sqrt{s} = 1960$ GeV recorded by the Collider Detector at Fermilab. No evidence for this state is found and an upper limit of 6.7% at the 95% confidence level is set on the fraction of $B^0_s$ produced through the $X(5568) rightarrow B^0_s , pi^{pm}$ process.