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Title: Skewness and kurtosis of net baryon-number distributions at small values of the baryon chemical potential

In this paper, we present results for the ratios of mean (M B), variance (σ$$2\atop{B}$$), skewness (S B) and kurtosis (κ B) of net baryon-number fluctuations obtained in lattice QCD calculations with physical values of light and strange quark masses. Using next-to-leading order Taylor expansions in baryon chemical potential we find that qualitative features of these ratios closely resemble the corresponding experimentally measured cumulants ratios of net proton-number fluctuations for beam energies down to √sNN ≥ 19.6 GeV. We show that the difference in cumulant ratios for the mean net baryon-number, M B/σ$$2\atop{B}$$ = χ$$B\atop{1}$$ (T, µ B)/χ$$B\atop{2}$$ (T, µ B) and the normalized skewness, S Bσ B = χ$$B\atop{3}$$ (T, µB)/χ2 (T, µB ), nat-urally arises in QCD thermodynamics. Moreover, we establish a close relation between skewness and kurtosis ratios, S Bσ$$B\atop{3}$$/M B = χ$$B\atop{3}$$ (T, µ B)/χ$$B\atop{1}$$ (T,µ B) and κ Bσ$$2\atop{B}$$ = χ$$B\atop{4}$$ (T,μ B)/χ$$B\atop{2}$$ (T,μ B), valid at small values of the baryon chemical potential.
Authors:
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Publication Date:
Report Number(s):
BNL-203396-2018-JAAM
Journal ID: ISSN 2470-0010; PRVDAQ
Grant/Contract Number:
SC0012704; AC52-07NA27344; SC001270
Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 96; Journal Issue: 7; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Research Org:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21); BNL Program Development
Contributing Orgs:
HotQCD Collaboration
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
OSTI Identifier:
1431281
Alternate Identifier(s):
OSTI ID: 1405219