https://doi.org/10.1140/epja/s10050-022-00696-9
Regular Article - Theoretical Physics
Constructing probability density function of net-proton multiplicity distributions using Pearson curve method
1
Department of Physics, Schools of Basic and Applied Sciences, Central University of Tamil Nadu, 610005, Thiruvarur, India
2
Inha University, 100, Inharo, Nam-gu, 22212, Incheon, South Korea
Received:
6
August
2021
Accepted:
22
February
2022
Published online:
9
March
2022
The probability density functions of proton, anti-proton, and net-proton multiplicity distributions are constructed from the Beam Energy Scan results of the STAR experiment using the Pearson curve method. The constructed distributions of proton and anti-proton are compared with Poisson and Binomial distributions. The net-proton probability distributions are compared with Skellam distributions to study the O(4) criticality near the chiral crossover transition. The 
results estimated from the obtained PDFs are compared with Skellam and Binomial baselines for the Beam Energy Scan data. The current study shows some signatures of O(4) criticality, which can be further investigated by precision measurements of the cumulants and understanding the contribution of non-critical fluctuations to them. This study also provides a baseline for the higher order cumulant measurement in the upcoming RHIC BES II program and future LHC run.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
