Journal Article GSI-2025-00287

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Fluctuations and correlations of baryonic chiral partners

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2024
American Physical Society Ridge, NY

Physical review / D 109, 014033 () [10.1103/PhysRevD.109.014033]

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Report No.: arXiv:2308.15794

Abstract: The exploration of critical phenomena in phase transitions of strongly interacting matter governed by quantum chromodynamics (QCD) is one of the goals of present ultrarelativistic heavy-ion collision experiments at BNL and CERN. The key research direction is to locate the putative critical point on the phase diagram of QCD linked to the chiral symmetry restoration at finite temperature and/or density. One of the main theoretical tools used for this purpose is the fluctuations of conserved charges, such as the net-baryon number. However, due to experimental limitations, analyses of heavy-ion collision data suffer from a very doubtful basing of the net-proton number being a proxy for the total net-baryon number fluctuations. In this work, we use the parity doublet model to investigate the fluctuations of the net-baryon number density in hot and dense hadronic matter. The model accounts for chiral criticality within the mean-field approximation. We focus on the qualitative properties and systematics of the first- and second-order susceptibility of the net-baryon number density, and their ratios for nucleons of positive and negative parity, as well as their correlator. We show that the fluctuations of the positive-parity nucleon do not necessarily reflect the fluctuations of the total net-baryon number density at the phase boundary of the chiral phase transition. We also investigate the nontrivial structure of the correlator. Furthermore, we discuss and quantify the differences between the fluctuations of the net-baryon number density in the vicinity of the chiral and liquid-gas phase transition in nuclear matter. We indicate a possible relevance of our results with the interpretation of the experimental data on net-proton number fluctuations in heavy-ion collisions.

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Note: Published by the American Physical Society under the terms ofthe Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3

Contributing Institute(s):
  1. ExtreMe Matter Institute, EMMI (EXM)
Research Program(s):
  1. 612 - Cosmic Matter in the Laboratory (POF4-612) (POF4-612)
  2. STRONG-2020 - The strong interaction at the frontier of knowledge: fundamental research and applications (824093) (824093)
Experiment(s):
  1. no experiment theory work (theory)

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 Record created 2025-01-15, last modified 2025-05-12