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We consider exclusive double diffractive production of scalar \chi_c(0^+), axial-vector \chi_c(1^+) and tensor \chi_c(2^+) charmonia in proton-(anti)proton collisions at different energies. The corresponding amplitudes for these processes are derived within the k_t-factorisation approach and the corresponding cross section is calculated with different unintegrated gluon distribution functions (UGDFs) known from the literature. We compare exclusive production of all charmonium states \chi_c(0^+), \chi_c(1^+) and \chi_c(2^+) including branching fraction for radiative J/\Psi + \gamma decay channel. Corresponding experimental consequences are discussed.

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