Universal relations between non-Gaussian fluctuations in heavy-ion collisions

We show that universality near a critical end point implies a characteristic relation between third- and fourth-order baryon susceptibilities χ₃ and χ₄, resulting in a banana-shaped loop when χ₄ is plotted as a function of χ₃ along a freeze-out line. This result relies only on the derivative relatio...

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Bibliographic Details
Main Authors: Deng, Jian (Author), Kohyama, Hiroaki (Author), Labun, Lance (Author), Chen, Jiunn-Wei (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Physics (Contributor)
Format: Article
Language:English
Published: American Physical Society, 2017-05-18T18:37:38Z.
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Summary:We show that universality near a critical end point implies a characteristic relation between third- and fourth-order baryon susceptibilities χ₃ and χ₄, resulting in a banana-shaped loop when χ₄ is plotted as a function of χ₃ along a freeze-out line. This result relies only on the derivative relation between χ₃ and χ₄, the enhancement of the correlation length and the scaling symmetry near a critical point, and the freeze-out line near the critical point not too parallel to the μ[subscript B] axis. Including the individual enhancements of χ₃ and χ₄ near a critical point, these features may be a consistent set of observations supporting the interpretation of baryon fluctuation data as arising from criticality.
2470-0010
2470-0029