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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Main Authors: Deng, Jian, Kohyama, Hiroaki, Labun, Lance, Chen, Jiunn-Wei
Other Authors: Massachusetts Institute of Technology. Department of Physics
Format: Article
Language:English
Published: American Physical Society 2017
Online Access:http://hdl.handle.net/1721.1/109174
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author Deng, Jian
Kohyama, Hiroaki
Labun, Lance
Chen, Jiunn-Wei
author2 Massachusetts Institute of Technology. Department of Physics
author_facet Massachusetts Institute of Technology. Department of Physics
Deng, Jian
Kohyama, Hiroaki
Labun, Lance
Chen, Jiunn-Wei
author_sort Deng, Jian
collection MIT
description 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.
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spelling mit-1721.1/1091742022-09-28T10:02:03Z Universal relations between non-Gaussian fluctuations in heavy-ion collisions Deng, Jian Kohyama, Hiroaki Labun, Lance Chen, Jiunn-Wei Massachusetts Institute of Technology. Department of Physics Chen, Jiunn-Wei 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 2017-05-18T18:37:38Z 2017-05-18T18:37:38Z 2017-01 2016-04 2017-01-31T23:00:02Z Article http://purl.org/eprint/type/JournalArticle http://hdl.handle.net/1721.1/109174 Chen, Jiunn-Wei; Deng,Jian ; Kohyama,Hiroaki and Labun,Lance. "Universal relations between non-Gaussian fluctuations in heavy-ion collisions." Physical Review D 95, no. 014038 (January 2017): 1-7 © 2017 American Physical Society en http://dx.doi.org/10.1103/PhysRevD.95.014038 Physical Review D Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society
spellingShingle Deng, Jian
Kohyama, Hiroaki
Labun, Lance
Chen, Jiunn-Wei
Universal relations between non-Gaussian fluctuations in heavy-ion collisions
title Universal relations between non-Gaussian fluctuations in heavy-ion collisions
title_full Universal relations between non-Gaussian fluctuations in heavy-ion collisions
title_fullStr Universal relations between non-Gaussian fluctuations in heavy-ion collisions
title_full_unstemmed Universal relations between non-Gaussian fluctuations in heavy-ion collisions
title_short Universal relations between non-Gaussian fluctuations in heavy-ion collisions
title_sort universal relations between non gaussian fluctuations in heavy ion collisions
url http://hdl.handle.net/1721.1/109174
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