Investigating charmonium production at LHC with the pp¯ final state

We propose to investigate various charmonium states using their common decay channel to pp¯ at LHC. Having the branching ratios for charmonium decaying into the pp¯ final state measured or calculated, we propose to measure the charmonium production rate for both hadroproduction including soft-diffraction and inclusive production from b-hadron decays. We discuss the experimental prospects at LHCb, in particular, those for yet unmeasured ηc and hc.