Initial Condition Fluctuations Philipe de Almeida Mota Takeshi - - PowerPoint PPT Presentation

Initial Condition Fluctuations

Philipe de Almeida Mota Takeshi Kodama1 and Dirk Rischke2

1 Instituto de F´

ısica – UFRJ, Rio de Janeiro, Brasil

2 Institut f¨

ur Theoretische Physik – Goethe-Universit¨ at, Frankfurt, Germany

Quark Matter 2011

• Ph. Mota (ITP)

mota@th.physik.uni-frankfurt.de QM’11 1 / 20

shadow effect

hydro IC = smooth BG + gaussian tube final distribution − → away-side dip

• Ph. Mota (ITP)

mota@th.physik.uni-frankfurt.de QM’11 2 / 20

motivation

2-particle correlation @ RHIC from sBG+tube: qualitative behavior no jets purely geometrical

• Ph. Mota (ITP)

mota@th.physik.uni-frankfurt.de QM’11 3 / 20

smooth + fluctuation

symmetric BG + fluctuations non-symmetric BG + fluctuations C(∆φ) =

• dφ
• f1(φ)f2(φ + ∆φ)
• −
• f1(φ)
• f2(φ + ∆φ)
• Ph. Mota (ITP)

mota@th.physik.uni-frankfurt.de QM’11 4 / 20

initial conditions with fluctuations

parametrize the IC fluctuations in terms of longitudinal tubes apply event-by-event hydro to non-homogenous IC systematic study of the effects of the fluctuations on the observables

• Ph. Mota (ITP)

mota@th.physik.uni-frankfurt.de QM’11 5 / 20

longitudinal flux tubes

σ = 0.7 fm, N = 200 σ = 0.35 fm, N = 200

• Ph. Mota (ITP)

mota@th.physik.uni-frankfurt.de QM’11 6 / 20

random tubes model

samples Wounded Nucleons model P(r⊥; b) ∝ εWN(r⊥; b) total energy per tube independent of b EWN(b) N(b) = EWN(0) N(0) gaussian transverse profile model parameters σ and N impact parameter db ∝ b

• Ph. Mota (ITP)

mota@th.physik.uni-frankfurt.de QM’11 7 / 20

azimuthal distribution (.4–1×2–3)

dip for N 400 no dip for higher N, still different from WN more sensitive to N than σ

• Ph. Mota (ITP)

mota@th.physik.uni-frankfurt.de QM’11 8 / 20

spectrum

little effect @ low pT smaller N and σ increase spectra @ high pT

• Ph. Mota (ITP)

mota@th.physik.uni-frankfurt.de QM’11 9 / 20

elliptic flow

little change @ low pT σ reduces v2 @ high pT

• Ph. Mota (ITP)

mota@th.physik.uni-frankfurt.de QM’11 10 / 20

event plane

2 < pT < 3 0.4 < pT < 1 4 < pT < 5 2 < pT < 3 0.4 < pT < 1 4 < pT < 5

high v2 @ high pT ∆ψEP(pT) ∼ 0 two main peaks negative v2 @ high pT ∆ψEP(pT) ∼ π/2 three main peaks

• Ph. Mota (ITP)

mota@th.physik.uni-frankfurt.de QM’11 11 / 20

elliptic flow 2-particle method

increases v2 @ high pT for very granular does not affect fluctuations

• Ph. Mota (ITP)

mota@th.physik.uni-frankfurt.de QM’11 12 / 20

triangular flow, event plane method

v3/v2 = 0.25–0.5 @ pT = 1 GeV/c fairly independent of σ @ low pT

• Ph. Mota (ITP)

mota@th.physik.uni-frankfurt.de QM’11 13 / 20

triangular flow, 2-particle method

v3/v2 = 0.25–0.5 @ pT = 1 GeV/c fairly independent of σ @ low pT

• Ph. Mota (ITP)

mota@th.physik.uni-frankfurt.de QM’11 14 / 20

v4 and v5

v5, v4 and v3 have similar magnitude saturation happens also for v4{EP} and v5{EP}

• Ph. Mota (ITP)

mota@th.physik.uni-frankfurt.de QM’11 15 / 20

summary and perspectives

summary systematic study of the effects of granularity on the observables framework to study the effects of IC models on the final observables double peak probes the number of tubes tube fluctuations generate sizable higher flow moments which can used to probe the properties of ICs approach based on the existence of longitudinal tubes perspectives increase statistics and perform multiplicity based analysis compare random tubes with MC Glauber particle decays and compare to data compute the longitudinal dynamics (3+1D) apply to high multiplicity pp collisions

• Ph. Mota (ITP)

mota@th.physik.uni-frankfurt.de QM’11 16 / 20

backup

• Ph. Mota (ITP)

mota@th.physik.uni-frankfurt.de QM’11 17 / 20

backup

v2 v3

• Ph. Mota (ITP)

mota@th.physik.uni-frankfurt.de QM’11 18 / 20

backup

• Ph. Mota (ITP)

mota@th.physik.uni-frankfurt.de QM’11 19 / 20

backup

• Ph. Mota (ITP)

mota@th.physik.uni-frankfurt.de QM’11 20 / 20

v4 and v5

saturation happens also for v4{EP} and v5{EP}

• Ph. Mota (ITP)

mota@th.physik.uni-frankfurt.de QM’11 21 / 20