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High moments of multiplicity distributions of conserved quantities arepredicted to be sensitive to critical fluctuations. To understand the effect ofthe complicated non-critical physics backgrounds on the proposed observable, wehave studied various moments of net-proton distributions with AMPT, Hijing,Therminator and UrQMD models, in which no QCD critical point physics isimplemented. It is found that the centrality evolution of various moments ofnet-proton distributions can be uniformly described by a superposition ofemission sources. In addition, in the absence of critical phenomena, somemoment products of net-proton distribution, related to the baryon numbersusceptibilities ratio in Lattice QCD calculation, are predicted to be constantas a function of the collision centrality. We argue that a non-monotonicdependence of the moment products as a function collision centrality and thebeam energy may be used to locate the QCD critical point.

Energy Dependence of High Moments for Net-proton Distributions