Polarisation effects in the central exclusive ${\chi }_c$ production and the $J/\psi$ angular distributions

Abstract

We discuss exclusive elastic double diffractive axial-vector ${\chi }_c(1^{+})$ and tensor ${\chi }_c(2^{+})$ 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 ${\chi }_c$ polarisations are calculated. Angular distributions of $J/\psi$ meson from the radiative ${\chi }_c(1^{+},2^{+})$ decays are derived. Prospects for experimental selection of different spin states of ${\chi }_c$ mesons are discussed.

20 pages, 8 figures, discrepancies with Durham group results clarified, numerics corrected, overall presentation and conclusions significantly improved

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