Higher order cumulants of net baryon-number distributions at non-zero μ

Bollweg, D.; Karsch, F.; Mukherjee, S.; Schmidt, C.

doi:10.1016/j.nuclphysa.2020.121835

Title: Higher order cumulants of net baryon-number distributions at non-zero μ

Abstract

Using recent results on higher order cumulants of conserved charge fluctuations from lattice QCD, we construct mean, variance, skewness, kurtosis, hyper-skewness and hyper-kurtosis of net-baryon number distributions for small baryon chemical potentials μ_B. For the strangeness neutral case (μ_S = 0) at fixed ratio of electric charge to baryon number density ( $\frac{n_{Q}}{n_{B}} = 0.4$ ), which is appropriate for a comparison with heavy ion collisions, we present results for κ_Bσ²_B, S_Bσ³_B/M_B, κ^H_Bσ⁴_B and S^H_Bσ⁵_B/M_B on the crossover line for the chiral transition, T_pc(μ_B). Furthermore, continuum extrapolations for this pseudo-critical transition line have recently been reported by HotQCD up to baryon chemical potentials μ_B ≃ 300 MeV [A. Bazavov, et al., Chiral crossover in QCD at zero and non-zero chemical potentials, Phys. Lett. B 795 (2019) 15–21. arXiv:1812.08235.]. These cumulant ratios are of direct relevance for comparisons with corresponding ratios measured by STAR in the BES-I and II runs at beam energies $\sqrt{s_{NN}} \geq 20 GeV$ . In particular, we point out that recent high statistics results on skewness and kurtosis of net-baryon number distributions obtained by STAR at $\sqrt{s_{NN}} = 54.4 GeV$ put strong constraints on freeze-out parameters and are consistent with predictions from thermal QCD.

Authors:

^[1]; Karsch, F. ^[1]; Mukherjee, S. ^[2]; Schmidt, C. ^[1]

Univ. Bielefeld (Germany)
Brookhaven National Lab. (BNL), Upton, NY (United States)

Publication Date:: Thu Dec 10 00:00:00 EST 2020

Research Org.:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP); German Research Foundation (DFG); GBBF

OSTI Identifier:: 1763345

Alternate Identifier(s):: OSTI ID: 1760944

Report Number(s):: BNL-220897-2021-JAAM
Journal ID: ISSN 0375-9474; TRN: US2205955

Grant/Contract Number:: SC0012704; 315477589; 05P2018

Resource Type:: Accepted Manuscript

Journal Name:: Nuclear Physics. A

Additional Journal Information:: Journal Volume: 1005; Journal ID: ISSN 0375-9474

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Lattice QCD; freeze-out; fluctuations; cumulants

Citation Formats


                    Bollweg, D., Karsch, F., Mukherjee, S., and Schmidt, C. Higher order cumulants of net baryon-number distributions at non-zero μ.  United States: N. p., 2020. 
Web.  doi:10.1016/j.nuclphysa.2020.121835.

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                    Bollweg, D., Karsch, F., Mukherjee, S., & Schmidt, C. Higher order cumulants of net baryon-number distributions at non-zero μ.  United States.  https://doi.org/10.1016/j.nuclphysa.2020.121835

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                    Bollweg, D., Karsch, F., Mukherjee, S., and Schmidt, C. Thu .  
"Higher order cumulants of net baryon-number distributions at non-zero μ".  United States.  https://doi.org/10.1016/j.nuclphysa.2020.121835.  https://www.osti.gov/servlets/purl/1763345.

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@article{osti_1763345,

  title        = {Higher order cumulants of net baryon-number distributions at non-zero μ},

  author       = {Bollweg, D. and Karsch, F. and Mukherjee, S. and Schmidt, C.},

  abstractNote = {Using recent results on higher order cumulants of conserved charge fluctuations from lattice QCD, we construct mean, variance, skewness, kurtosis, hyper-skewness and hyper-kurtosis of net-baryon number distributions for small baryon chemical potentials μB. For the strangeness neutral case (μS = 0) at fixed ratio of electric charge to baryon number density (nQnB=0.4), which is appropriate for a comparison with heavy ion collisions, we present results for κBσ2B, SBσ3B/MB, κHBσ4B and SHBσ5B/MB on the crossover line for the chiral transition, Tpc(μB). Furthermore, continuum extrapolations for this pseudo-critical transition line have recently been reported by HotQCD up to baryon chemical potentials μB ≃ 300 MeV [A. Bazavov, et al., Chiral crossover in QCD at zero and non-zero chemical potentials, Phys. Lett. B 795 (2019) 15–21. arXiv:1812.08235.]. These cumulant ratios are of direct relevance for comparisons with corresponding ratios measured by STAR in the BES-I and II runs at beam energies sNN≥20GeV. In particular, we point out that recent high statistics results on skewness and kurtosis of net-baryon number distributions obtained by STAR at sNN=54.4GeV put strong constraints on freeze-out parameters and are consistent with predictions from thermal QCD.},

  doi          = {10.1016/j.nuclphysa.2020.121835},

  journal      = {Nuclear Physics. A},

  number       = ,

  volume       = 1005,

  place        = {United States},

  year         = {Thu Dec 10 00:00:00 EST 2020},

  month        = {Thu Dec 10 00:00:00 EST 2020}

}

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