Identifying the presence of the critical end point in QCD phase diagram by higher order susceptibilities

Abstract

For the first time, we investigate susceptibilities of dense quark matter up to $8$th order using an effective model. Generally higher order susceptibilities will have more sign changes and larger magnitude, thus should give more information about the presence and location of the conjectured QCD critical end point (CEP). Two cases are studied, one with the CEP and one being crossover phase transition throughout the QCD phase diagram. It is found that a rapid crossover transition can also give similar sign pattern as the case with the CEP and yield large signal. We propose that using several kinds of ions for collision to search for a wider range on the QCD phase diagram may help.

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Cited by in corpus (9)

• Cumulants and Correlation Functions of Net-proton, Proton and Antiproton Multiplicity Distributions in Au+Au Collisions at energies available at the BNL Relativistic Heavy Ion Collider
• A Study of the Properties of the QCD Phase Diagram in High-Energy Nuclear Collisions
• The Splitting of Chiral and Deconfinement Phase Transitions induced by Rotation
• Holographic study of higher-order baryon number susceptibilities at finite temperature and density
• Effects of finite volume and magnetic fields on thermodynamic properties of quark matter and fluctuations of conserved charges
• Effects of resonance weak decays and hadronic re-scattering on the proton number fluctuations in Au + Au collisions at $\sqrt{s_{\mathrm{NN}}}=5$ GeV from JAM model
• Pileup Correction on Higher-order Cumulants with Unfolding Approach
• Generalized susceptibilities of net-baryon number based on the 3-dimensional Ising universality class
• Fixed point behavior of cumulants in the three-dimensional Ising universality class