  We discuss the central exclusive production of $f_{1}$ mesons in
proton-proton collisions. The diffractive pomeron-pomeron fusion process within
the tensor-pomeron approach is considered. Two ways to construct the
pomeron-pomeron-$f_{1}$ coupling are discussed. The theoretical calculation of
coupling constants is a challenging problem of nonperturbative QCD. We adjust
the parameters of the model to the WA102 experimental data. The total cross
section and differential distributions are presented. Predictions for LHC
experiments are given. Detailed analysis of the distributions in $\phi_{pp}$
the azimuthal angle between the transverse momenta of the outgoing protons can
help to check different models and to study real pattern of the absorption
effects.
