Polarisation effects in the central exclusive $χ_c$ production and the $J/ψ$ angular distributions

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

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