Fluctuation induced equality of multi-particle eccentricities for four or more particles

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• 作者：Adam Bzdak^a ; ^{abzdak@bnl.gov" class="auth_mail} ; Piotr Bozek^b ; ^c ; ^{piotr.bozek@ifj.edu.pl" class="auth_mail} ; Larry McLerran^d ; ^a ; ^e ; ^{mclerran@bnl.gov" class="auth_mail}
• 关键词：p+Ap+A collisions ; Azimuthal anisotropy ; Ellipticity ; Glauber model ; Hydrodynamics
• 刊名：Nuclear Physics A
• 出版年：July 2014
• 年：2014
• 卷：927
• 期：Complete
• 页码：15-23
• 全文大小：505 K

文摘

We discuss eccentricities (ellipticity and triangularity) generated in nucleus–nucleus and proton–nucleus collisions. We define multi-particle eccentricities class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0375947414000657&_mathId=si1.gif&_user=111111111&_pii=S0375947414000657&_rdoc=1&_issn=03759474&md5=b90a8c84fbbf11cb66cd162271d86813" title="Click to view the MathML source">系_n{m}class="mathContainer hidden">class="mathCode">${系}_n\{m\}$ which are associated with the n  'th angular multipole moment for m   particles. We show that in the limit of fluctuation dominance all of the class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0375947414000657&_mathId=si1.gif&_user=111111111&_pii=S0375947414000657&_rdoc=1&_issn=03759474&md5=b90a8c84fbbf11cb66cd162271d86813" title="Click to view the MathML source">系_n{m}class="mathContainer hidden">class="mathCode">${系}_n\{m\}$'s are approximately equal for class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0375947414000657&_mathId=si2.gif&_user=111111111&_pii=S0375947414000657&_rdoc=1&_issn=03759474&md5=fecda653b6cbc073c21ab066a20d1eef" title="Click to view the MathML source">m猢?class="mathContainer hidden">class="mathCode">$m猢?/mo><mn>4</mn>$. For dynamics linearly responding to these eccentricities such as hydrodynamics, these relations among eccentricities are translated into relations among flow moments class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0375947414000657&_mathId=si3.gif&_user=111111111&_pii=S0375947414000657&_rdoc=1&_issn=03759474&md5=dfa1c7067f624e319f81b51aa621eaa4" title="Click to view the MathML source">v_n{m}class="mathContainer hidden">class="mathCode">$v_n\{m\}$. We explicitly demonstrate it with hydrodynamic calculations.