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SUMMARY:Triangularity and Dipole Assymetry in Ideal Hydrodynamics
DTSTART;VALUE=DATE-TIME:20110809T211500Z
DTEND;VALUE=DATE-TIME:20110809T213500Z
DTSTAMP;VALUE=DATE-TIME:20200928T133939Z
UID:indico-contribution-1351093@indico.cern.ch
DESCRIPTION:Speakers: li Yan (Stony Brook University)\nWe introduce a cumm
ulant expansion to parameterize possible initial conditions\nin heavy ion
collisions. We show that the cummulant expansion converges and can\nsystem
atically reporduce the results of the Glauber type initial conditions.\nA
t third order in the gradient expansion\, the cummulants are described wit
h the\ntriangularity $\\llangle r^3 \\cos3(\\phi - \\psi_{1\,3} ) \\rrangl
e$\, and a dipole\nassymetry\, $\\llangle r^3 \\cos(\\phi- \\psi_{1\,3})
\\rrangle$. We show that the\norientation angle of the dipole assymetry $
\\psi_{1\,3}$ \nhas a $20\\%$ assymetry out of plane for mid-central colli
sons. \nThis leads to a small net $v_1$ out of plane.\nIn peripheral and
mid-central collisions the\norientation angles $\\psi_{1\,3}$ and $\\psi_
{3\,3}$ are strongly correlated\, but this correlation disappears towards
central collisions. \nWe study the ideal\nhydrodynamic response to these
cummulants and determine the associated $v_1/\\epsilon_1$\nand $v_3/\\eps
ilon_3$ for a massless ideal gas. The space time development of $v_1$ and
\n$v_3$ is clarified with figures. These figures show that $v_1$ and $v_
3$\ndevelop towards the edge of the nucleus\, and consequently the final
spectra are more sensitive to the viscous dynamics of freezeout.\n The hy
drodynamic calculations for $v_3$ is provisionally compared to Alver and
Roland fit of STAR inclusive two particle correlation functions. Finally\
, we propose to \nmeasure the $v_1$ associated with the dipole assymetry b
y measuring $\\llangle \\cos(\\phi - 3\\Psi_{R3} + 2\\Psi_{R2}) \\rrangl
e $ where $\\Psi_{R3}$ \nis an experimental estimate for the triangular e
vent plane while $\\Psi_{R2}$\nis the usual quadrupole event plane plane
estimate. \nThis experimental measurement would provide convincing evidenc
e for the \nstrong correlation between $\\psi_{1\,3}$ and $\\psi_{3\,3}$\,
and by association\nthe hydrodynamic interpretation of two particle corr
elations at RHIC.\n\nhttps://indico.cern.ch/event/129980/contributions/135
1093/
LOCATION:Rhode Island Convention Center 552 B
URL:https://indico.cern.ch/event/129980/contributions/1351093/
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