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

Bazavov, A. and Ding, H. -T. and Hegde, P. and Kaczmarek, O. and Karsch, F. and Laermann, E. and Mukherjee, Swagato and Ohno, H. and Petreczky, P. and Rinaldi, E. and Sandmeyer, H. and Schmidt, C. and Schroeder, Chris and Sharma, S. and Soeldner, W. and Soltz, R. A. and Steinbrecher, P. and Vranas, P. M. (2017) Skewness and kurtosis of net baryon-number distributions at small values of the baryon chemical potential. PHYSICAL REVIEW D, 96 (7): 074510. ISSN 2470-0010, 2470-0029

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Abstract

We present results for the ratios of mean (MB), variance (sigma(2)(B)), skewness (SB) and kurtosis(kappa 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 cumulant ratios of net proton-number fluctuations for beam energies down to root s(NN) >= 19.6 GeV. We show that the difference in cumulant ratios for the mean net baryon-number, M-B/sigma(2)(B) = chi(1)(B) (T, mu(B)) / chi(2)(B) (T, mu(B)), and the normalized skewness, S-B sigma(B) = chi(B)(3) (T, mu(B)) / chi(B)(2) (T, mu B), naturally arises in QCD thermodynamics. Moreover, we establish a close relation between skewness and kurtosis ratios, S-B sigma(3)(B) / M-B = chi(B)(3) (T, mu(B)) / chi(B)(1) (T, mu(B)) and kappa(B)sigma(2)(B) = chi(B)(4) (T, mu(B)) /chi(B)(2) (T, mu(B)), valid at small values of the baryon chemical potential.

Item Type: Article
Uncontrolled Keywords: PHASE-DIAGRAM; FREEZE-OUT; TEMPERATURE; RESTORATION; DENSITY;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Andreas Schäfer
Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Gunnar Bali
Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Dirk Pleiter
Depositing User: Dr. Gernot Deinzer
Date Deposited: 14 Dec 2018 13:19
Last Modified: 28 Feb 2019 10:16
URI: https://pred.uni-regensburg.de/id/eprint/1981

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