High multiplicityppevents andJ/ψproduction at energies available at the CERN Large Hadron Collider

Abstract

We discuss the dependence of $J/\ensuremath{\psi}$ production on the charged particle multiplicity in proton-proton collisions at CERN Large Hadron Collider (LHC) energies. We show that, in the framework of parton saturation or string interaction models, the hard $J/\ensuremath{\psi}$ production exhibits a significant growth with the multiplicity, which is stronger than linear in the high density domain. This departure from linearity, that should affect any hard observable, applies for high multiplicity proton-proton collisions in the central rapidity region and is a consequence of the parton saturation or the strong interaction among color ropes that take place at LHC energies. Our assumption, the existence of coherence effects present in proton-proton collisions at high energy, can also be checked by studying the particular shape of the probability distribution associated to the $J/\ensuremath{\psi}$ production. Predictions for the forthcoming $p$Pb collisions at LHC energies are presented.