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Title: Multi-particle eccentricities in collisions dominated by fluctuations

Abstract

Here we compute analytically the multi-particle eccentricities, ϵm{2n}, for systems dominated by fluctuations, such as proton–nucleus collisions at the Large Hadron Collider. In particular, we derive a general relation for $$\langle$$ ϵ$$2n\atop{2}$$ $$\rangle$$. We further discuss the relations between various multi-particle eccentricities and demonstrate that ϵ2{2}>ϵ2{4}≃ϵ2{6}≃ϵ2{8}, in agreement with recent numerical calculations in a Glauber model.

Authors:
 [1];  [2]
  1. AGH Univ. of Science and Technology, Krakow (Poland); Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN Research Center
  2. Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN Research Center; Western Michigan Univ., Kalamazoo MI (United States). Dept. of Physics
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN Research Center
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); Ministry of Science and Higher Education (MNiSW), Poland; Foundation for Polish Science
OSTI Identifier:
1335427
Report Number(s):
BNL-112081-2016-JA
Journal ID: ISSN 0375-9474; R&D Project: PO-3
Grant/Contract Number:  
SC00112704; DEC-2014/15/B/ST2/00175; DEC-2013/09/B/ST2/00497
Resource Type:
Accepted Manuscript
Journal Name:
Nuclear Physics. A
Additional Journal Information:
Journal Volume: 943; Journal Issue: C; Journal ID: ISSN 0375-9474
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; LHC; p + A; Quark–gluon plasma

Citation Formats

Bzdak, Adam, and Skokov, Vladimir. Multi-particle eccentricities in collisions dominated by fluctuations. United States: N. p., 2015. Web. doi:10.1016/j.nuclphysa.2015.08.001.
Bzdak, Adam, & Skokov, Vladimir. Multi-particle eccentricities in collisions dominated by fluctuations. United States. https://doi.org/10.1016/j.nuclphysa.2015.08.001
Bzdak, Adam, and Skokov, Vladimir. Sun . "Multi-particle eccentricities in collisions dominated by fluctuations". United States. https://doi.org/10.1016/j.nuclphysa.2015.08.001. https://www.osti.gov/servlets/purl/1335427.
@article{osti_1335427,
title = {Multi-particle eccentricities in collisions dominated by fluctuations},
author = {Bzdak, Adam and Skokov, Vladimir},
abstractNote = {Here we compute analytically the multi-particle eccentricities, ϵm{2n}, for systems dominated by fluctuations, such as proton–nucleus collisions at the Large Hadron Collider. In particular, we derive a general relation for $\langle$ ϵ$2n\atop{2}$ $\rangle$. We further discuss the relations between various multi-particle eccentricities and demonstrate that ϵ2{2}>ϵ2{4}≃ϵ2{6}≃ϵ2{8}, in agreement with recent numerical calculations in a Glauber model.},
doi = {10.1016/j.nuclphysa.2015.08.001},
journal = {Nuclear Physics. A},
number = C,
volume = 943,
place = {United States},
year = {2015},
month = {11}
}

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Works referenced in this record:

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Long-range angular correlations on the near and away side in p–Pb collisions at <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msqrt><mml:msub><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">NN</mml:mi></mml:mrow></mml:msub></mml:msqrt><mml:mo>=</mml:mo><mml:mn>5.02</mml:mn><mml:mtext> TeV</mml:mtext></mml:math>
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Works referencing / citing this record:

Novel collective phenomena in high-energy proton–proton and proton–nucleus collisions
journal, January 2016

  • Dusling, Kevin; Li, Wei; Schenke, Björn
  • International Journal of Modern Physics E, Vol. 25, Issue 01
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Measurement of multi-particle azimuthal correlations in $pp$, $p+$Pb and low-multiplicity Pb$+$Pb collisions with the ATLAS detector
text, January 2017

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Measurement of multi-particle azimuthal correlations in pp, p + Pb and low-multiplicity Pb + Pb collisions with the ATLAS detector
text, January 2017


Novel Collective Phenomena in High-Energy Proton-Proton and Proton-Nucleus Collisions
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