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The probability density functions of proton, anti-proton, and net-protonmultiplicity distributions are constructed from the Beam Energy Scan results ofthe STAR experiment using the Pearson curve method. The constructeddistributions of proton and anti-proton are compared with Poisson and Binomialdistributions. The net-proton probability distributions are compared withSkellam distributions to study the O(4) criticality near the chiral crossovertransition. The $C_{6}/C_{2}$ results estimated from the obtained PDFs arecompared with Skellam and Binomial baselines for the Beam Energy Scan data. Thecurrent study shows some signatures of O(4) criticality, which can be furtherinvestigated by precision measurements of the cumulants and understanding thecontribution of non-critical fluctuations to them. This study also provides abaseline for the higher-order cumulant measurement in the upcoming RHIC BES IIprogram and future LHC run.

Constructing probability density function of net-proton multiplicity distributions using Pearson curve method