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

  • Regular Article - Theoretical Physics
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Abstract

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 \(C_{6}/C_{2}\) 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.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Author’s comment: The data used for this work can be found from Ref [21, 22].]

Notes

  1. The Skellam distribution used in Ref. [26] is different than the one used in Ref. [27].

  2. In fact with increasing the \(|\Delta N_{p}|\), \(C_6\) oscillates from very high positive value to negative value before converging with its exact value, which is not visible in the current scale of Fig. 4

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Acknowledgements

The authors thanks the STAR Collaboration for providing the preliminary data during the initial phase of this study. The author acknowledges R. Bellweid, S. Dash, K. Morita and B. K. Nandi for their valuable suggestions during the preparation of this manuscript. This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (No. 2018R1A5A1025563).

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Authors and Affiliations

  1. Department of Physics, Schools of Basic and Applied Sciences, Central University of Tamil Nadu, Thiruvarur, 610005, India

    Nirbhay Kumar Behera

  2. Inha University, 100, Inharo, Nam-gu, Incheon, 22212, South Korea

    Min Jung Kweon

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  1. Nirbhay Kumar Behera
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  2. Min Jung Kweon
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Correspondence to Nirbhay Kumar Behera.

Additional information

Communicated by R. Sharma.

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Behera, N.K., Kweon, M.J. Constructing probability density function of net-proton multiplicity distributions using Pearson curve method. Eur. Phys. J. A 58, 43 (2022). https://doi.org/10.1140/epja/s10050-022-00696-9

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