Charmonium – a bound state of a charm quark and charm anti-quark – is a unique system,
which since 30 years provide powerful tests of quantum chromo-dynamics (QCD) – a theory describing
fundamental strong interactions characterized by confinement and asymptotic freedom.
Numerous theory models based on non-relativistic QCD aim at describing charmonium production
in proton–proton collisions.
LHCb experiment at Large Hadron Collider at CERN, with its precise vertex reconstruction,
powerful particle identification and flexible trigger performed a number of unique experimental studies
of charmonium production, both directly at beam collision vertex and in b-hadron inclusive decays.
Selected LHCb measurements are discussed and compared to theory predictions.