Multiplicity fluctuations in nucleus-nucleus collisions: Dependence on energy and atomic mass number

Abstract

Event-by-event multiplicity fluctuations in central C$+$C, S$+$S, In$+$In, and Pb$+$Pb as well as $p+p$ collisions at bombarding energies from 10 to 160 AGeV are studied within the hadron string dynamics and ultrarelativistic quantum molecular dynamics microscopic transport approaches. Our investigation is directly related to the future experimental program of the NA61 Collaboration at the SPS for a search of the quantum chromodynamics (QCD) critical point. The dependence on energy and atomic mass number of the scaled variances for negative, positive, and all charged hadrons is presented and compared to the results of the model of independent sources. Furthermore, the nucleus-nucleus results from the transport calculations are compared to inelastic proton-proton collisions for reference. We find a dominant role of the participant number fluctuations in nucleus-nucleus reactions at finite impact parameter $b$. To reduce the influence of the participant numbers fluctuations on the charged particle multiplicity fluctuations only the most central events have to be selected. Accordingly, the samples of the 1% most central nucleus-nucleus collisions with the largest numbers of the projectile participants are studied. The results are compared with those for collisions at zero impact parameter. A strong influence of the centrality selection criteria on the multiplicity fluctuations is pointed out. Our findings are essential for an optimal choice of colliding nuclei and bombarding energies for the experimental search of the QCD critical point.