We report a study of the central exclusive production of π+π− and K+K−
Nearby in the stack
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.