| THE PHYSICS OF ELEMENTARY PARTICLES AND FIELDS |
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Critical Opalescence and Its Impact on the Jet Quenching Parameter $\hat{q}$ |
| Jing Wu1, Shanshan Cao2*, and Feng Li1,3,4,5* |
1School of Physical Science and Technology, Lanzhou University, Lanzhou 730000, China
2Institute of Frontier and Interdisciplinary Science, Shandong University, Qingdao 266237, China
3Research Center for Hadron and CSR Physics, Lanzhou University and Institute of Modern Physics of CAS, Lanzhou 730000, China
4Lanzhou Center for Theoretical Physics, Key Laboratory of Theoretical Physics of Gansu Province, and Frontiers Science Center for Rare Isotopes, Lanzhou University, Lanzhou 730000, China
5Frontiers Science Center for Rare Isotopes, Lanzhou University, Lanzhou 730000, China
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| Cite this article: |
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Jing Wu, Shanshan Cao, and Feng Li 2024 Chin. Phys. Lett. 41 031202 |
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Abstract Jet quenching parameter $\hat{q}$ is essential for characterizing the interaction strength between jet partons and nuclear matter. Based on the quark-meson model, we develop a new framework for calculating $\hat{q}$ at finite chemical potentials, in which $\hat{q}$ is related to the spectral function of the chiral order parameter. A mean field perturbative calculation up to the one-loop order indicates that the momentum broadening of jets is enhanced at both high temperature and high chemical potential, and approximately proportional to the parton number density in the partonic phase. We further investigate the behavior of $\hat{q}$ in the vicinity of the critical endpoint (CEP) by coupling our calculation with a recently developed equation of state that includes a CEP in the universality class of the Ising model, from which we discover the partonic critical opalescence, i.e., the divergence of scattering rate of jets and their momentum broadening at the CEP, contributed by scatterings via the $\sigma$ exchange process. Hence, for the first time, jet quenching is connected with the search of CEP.
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Received: 24 January 2024
Editors' Suggestion
Published: 29 March 2024
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| PACS: |
12.38.Mh
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(Quark-gluon plasma)
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25.75.-q
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(Relativistic heavy-ion collisions (collisions induced by light ions studied to calibrate relativistic heavy-ion collisions should be classified under both 25.75.-q and sections 13 or 25 appropriate to the light ions))
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