We report a study of the central exclusive production of π+π and K+K pairs in high energy hadron-hadron collisions. The amplitude is calculated in the Regge approach including both pomeron and secondary reggeon exchanges and absorption effects due to proton-proton interaction and ππ (KK) rescattering. We discuss a measurement of exclusive production of a scalar χc0 meson via χc0→π+π, K+K decay. We find that the relative contribution of resonance states and the ππ (KK) continuum strongly depend on the cut on pion (kaon) transverse momentum. We compare the results with the existing experimental data and present predictions for the RHIC, Tevatron and LHC colliders. We discuss also the f2 (1270) meson production mediated by an effective tensor pomeron exchanges.

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