Event patterns extracted from transverse momentum and rapidity spectra of Z Bosons and Quarkonium states produced in pp and Pb-Pb Collisions at LHC

Transverse momentum (p T) and rapidity (y) spectra of Z bosons and quarkonium states (some charmonium c c mesons such as J / ψ and ψ (2 S) and some bottomonium b b mesons such as (1 S), (2 S), and (3 S)) produced in proton-proton (pp) and lead-lead (Pb-Pb) collisions at the large hadron collider (LHC) are uniformly described by a hybrid model of two-component Erlang distribution for p T spectrum and two-component Gaussian distribution for y spectrum. The former distribution results from a multisource thermal model, and the latter one results from the revised Landau hydrodynamic model. The modelling results are in agreement with the experimental data measured in pp collisions at center-of-mass energies s = 2.76 and 7 TeV and in Pb-Pb collisions at center-of-mass energy per nucleon pair s N N = 2.76 TeV. Based on the parameter values extracted from p T and y spectra, the event patterns (particle scatter plots) in two-dimensional p T - y space and in three-dimensional velocity space are obtained.