Polarization effects in the central exclusive χc production and the J/ψ angular distributions

We discuss exclusive elastic double diffractive axial-vector χc(1+) and tensor χc(2+) mesons production for different meson polarizations in proton-(anti)proton collisions at the Tevatron energy. The amplitude for the process is derived within the kt-factorization approach using unintegrated gluon distributions. Differential cross sections for different χc polarizations are calculated. Angular distributions of J/ψ meson from the radiative χc(1+,2+) decays are derived. Prospects for experimental selection of different spin states of χc mesons are discussed.