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Constructing probability density function of net-proton multiplicity distributions using Pearson curve method
TLDR
In this paper, the probability density functions of net-proton multiplicity distributions are constructed from the beam energy scan results of the STAR experiment using the Pearson curve method for two different transverse momentum windows.Abstract:
The probability density functions of net-proton multiplicity distributions are constructed from the Beam Energy Scan results of the STAR experiment using the Pearson curve method for two different transverse momentum windows. The $6^{th}$ and $8^{th}$ order cumulants of net-proton multiplicity distributions are estimated from the constructed probability density functions. The beam energy dependence of $C_{6}/C_{2}$ and $C_{8}/C_{2}$ are found to be sensitive to the acceptance window. This method provides a unique opportunity to study the O(4) criticality near the chiral crossover transition and estimating the higher-order cumulants. In general, it is useful to determine the probability density function uniquely of a frequency data if the first four cumulants are known.read more
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Journal ArticleDOI
A unified formalism to study transverse momentum spectra in heavy-ion collision
Satyajit Jena,Rohit Gupta +1 more
TL;DR: In this paper, a unified non-extensive statistical approach using the Pearson distribution as a tool to study transverse momentum spectra is introduced, which provides strong insights into the underlying physics of heavy-ion collisions.
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TL;DR: The beam energy and collision centrality dependence of the mean, standard deviation, skewness, and kurtosis of the net-proton multiplicity distributions in Au+Au collisions and the products of moments are found to be significantly below the Skellam expectation and close to expectations based on independent proton and antiproton production.
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