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Fluctuations of conserved quantities are believed to be sensitive observablesto probe the signature of the QCD phase transition and critical point. It wasargued recently that measuring the genuine correlation functions (CFs) couldprovide cleaner information on possible nontrivial dynamics in heavy-ioncollisions.With the AMPT (a multiphase transport) model, the centrality andenergy dependence of various orders of CFs of net protons in Au + Au collisionsat $\sqrt{s_\mathrm{NN}}$=7.7, 11.5, 19.6, 27, 39, 62.4 and 200 GeV areinvestigated. The model results show that the number of antiprotons isimportant and should be taken into account in the calculation of CFs at highenergy and/or in peripheral collisions. It is also found that the contributionof antiprotons is more important for higher order correlations than for lowerones. The CFs of antiprotons and mixed correlations play roles comparable tothose of protons at high energies. Finally, we make comparisons between themodel calculation and experimental data measured in the STAR experiment at theBNL Relativistic Heavy Ion Collider.

physical review. c

Correlation functions of net-proton multiplicity distributions in Au +  Au collisions at energies available at the BNL Relativistic Heavy Ion  Collider from a multiphase transport model