  We report on the measurement of the central exclusive production process $pp
\ \rightarrow \ pXp$ in proton-proton collisions at RHIC with the STAR detector
at $\sqrt{\mathrm{s}} = 510$ GeV. At this energy, this process is dominated by
a double Pomeron exchange mechanism. The tracks of the centrally produced
system $X$ were reconstructed in the central detector of STAR, the Time
Projection Chamber and the Time of Flight systems, and were identified using
the ionization energy loss and the time of flight method. The diffractively
scattered protons, moving intact inside the RHIC beam pipe after the collision,
were measured in the Roman Pots system allowing full control of the
interaction's kinematics and verification of its exclusivity. The preliminary
results on the invariant mass distributions of centrally produced $\pi^+
\pi^-$, $K^+ K^-$ and $p \bar{p}$ pairs measured within the STAR acceptance are
presented.
