Constituent quarks and systematic errors in mid-rapidity charged multiplicity distributions
Centrality definition in AA collisions at colliders such as RHIC and LHC suffers from a correlated systematic uncertainty caused by the efficiency of detecting a pp collision ( for PHENIX at RHIC). In AA collisions where centrality is measured by the number of nucleon collisions, , or the number of nucleon participants, , or the number of constituent quark participants, , the error in the efficiency of the primary interaction trigger (Beam-Beam Counters) for a pp collision leads to a correlated systematic uncertainty in , or which reduces binomially as the AA collisions become more central. If this is not correctly accounted for in projections of AA to pp collisions, then mistaken conclusions can result. A recent example is presented in whether the mid-rapidity charged multiplicity per constituent quark participant in AuAu at RHIC was the same as the value in pp collisions.