Universal relations between nongaussian fluctuations in heavy-ion collisions

Abstract

We show that universality near a critical end point implies a characteristic relation between third- and fourth-order baryon susceptibilities ${\chi }_3$ and ${\chi }_4$, resulting in a banana-shaped loop when ${\chi }_4$ is plotted as a function of ${\chi }_3$ along a freeze-out line. Including the individual enhancements of ${\chi }_3$ and ${\chi }_4$ near a critical point, these features may be a consistent set of observations supporting the interpretation of baryon fluctuations data as arising from criticality.

5 pages, 6 figures, revtex style; v2 as published

References in corpus (6)

• Scale for the Phase Diagram of Quantum Chromodynamics
• Real time evolution of non-Gaussian cumulants in the QCD critical regime
• Exploring the QCD Phase Structure with Beam Energy Scan in Heavy-ion Collisions
• Universal off-equilibrium scaling of critical cumulants in the QCD phase diagram
• Fluctuations and Correlations of Conserved Charges near the QCD Critical Point
• Robust characteristics of nongaussian fluctuations from the NJL model

Cited by in corpus (6)

• Higher-order baryon number susceptibilities: interplay between the chiral and the nuclear liquid-gas transitions
• The presence of a critical end point in the QCD phase diagram from the net-baryon number fluctuations
• Speed of sound and polytropic index in QCD matter
• Isospin effect on baryon and charge fluctuations from the pNJL model
• Chiral, parity-doublet, effective-Lagrangian mean-field theories for nuclear and astrophysical phenomenology
• Finite-size behaviour of generalized susceptibilities in the whole phase plane of the Potts model