Quartic cumulant of baryon number in the presence of a QCD critical point

Mroczek, D.; Nava Acuna, A. R.; Noronha-Hostler, J.; Parotto, P.; Ratti, C.; Stephanov, M. A.

doi:10.1103/physrevc.103.034901

Title: Quartic cumulant of baryon number in the presence of a QCD critical point

Journal Article · Thu Mar 04 00:00:00 EST 2021 · Physical Review. C

DOI:https://doi.org/10.1103/physrevc.103.034901· OSTI ID:1836539

Mroczek, D. ^[1];

^[2]; Noronha-Hostler, J. ^[1];

^[3]; Ratti, C. ^[2]; Stephanov, M. A. ^[4]

Univ. of Illinois at Urbana-Champaign, IL (United States)
Univ. of Houston, TX (United States)
Univ. of Wuppertal (Germany)
Univ. of Illinois, Chicago, IL (United States)

In the context of the ongoing search for the QCD critical point at the Relativistic Heavy-Ion Collider, we study the equation of state near the critical point in the temperature and baryon chemical potential plane. We use the parametric representation introduced in earlier literature, which maps the universal three-dimensional Ising equation of state onto the QCD phase diagram using several non-universal parameters. We focus on the quartic cumulant of the baryon number, or baryon number susceptibility χ$$^ B_4$$, which can be accessed experimentally via net-proton fluctuation kurtosis measurements. It was originally predicted, through universality arguments based on the leading singular contribution, that χ$$^ B_4$$ and net-proton kurtosis should show a specific nonmonotonic behavior due to the critical point. In particular, when following the freeze-out curve on the phase diagram by decreasing beam energy, the kurtosis is expected to dip, and then peak, when the beam energy scan passes close to the critical point. We study the effects of the nonuniversal and thus far unknown parameters of the Ising-to-QCD mapping on the behavior of χ$$^ B_4$$. We find that, while the peak remains a solid feature, the presence of the critical point does not necessarily cause a dip in χ$$^ B_4$$ on the freeze-out line below the transition temperature. The critical point contribution to the dip appears only for a narrow set of mapping parameters, when subleading singular terms are sufficiently suppressed.

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Research Organization:: Univ. of Illinois at Urbana-Champaign, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF); Alfred P. Sloan Foundation

Grant/Contract Number:: SC0020633; SC0019175; FG02-01ER41195; DGE 1746047

OSTI ID:: 1836539

Journal Information:: Physical Review. C, Vol. 103, Issue 3; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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