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Long Range Correlations and The Soft Ridge. Based on work with: Sean Gavin & Larry McLerran arXiv:0806.4718 [nucl-th]. Outline: Correlation Measurements PHOBOS STAR CGC + Correlations Flux Tubes Glasma Q s Dependence Blast Wave + Correlations Transverse Flow

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long range correlations and the soft ridge

Long Range Correlations and The Soft Ridge

Based on work with:

Sean Gavin

&

Larry McLerran

arXiv:0806.4718 [nucl-th]

  • Outline:
  • Correlation Measurements
    • PHOBOS
    • STAR
  • CGC + Correlations
    • Flux Tubes
    • Glasma
    • Qs Dependence
  • Blast Wave + Correlations
    • Transverse Flow
    • Glasma + Flow
    • Comparison to STAR

George Moschelli

Wayne State University

25th Winter Workshop on Nuclear Dynamics

phobos high p t triggered ridge
PHOBOS: High pt Triggered Ridge

from Edward Wenger, RHIC & AGS User’s Meeting, ‘08

phobos high p t triggered ridge1
PHOBOS: High pt Triggered Ridge

from Edward Wenger, RHIC & AGS User’s Meeting, ‘08

phobos high p t triggered ridge2
PHOBOS: High pt Triggered Ridge

long range correlations

from Edward Wenger, RHIC & AGS User’s Meeting, ‘08

phobos untriggered ridge
PHOBOS: Untriggered Ridge

from Edward Wenger, RHIC & AGS User’s Meeting, ‘08

  • soft ridge with very long range in rapidity?
  • caution: v2 not yet removed
long range correlations
Long Range Correlations

from Raju Venugopalan, RHIC & AGS User’s Meeting, ‘08

  • must originate at the earliest stages of the collision
  • like super-horizon fluctuations in the Universe
  • information on particle production mechanism
star soft ridge
STAR: Soft Ridge

from Lanny Ray, RHIC & AGS User’s Meeting, ‘08

Peak Amplitude

Peak η Width

Peak φ Width

peripheral

central

near side peak

Medium range correlations…implications for long range?

  • v2 and experimental effects subtracted
  • peak height and azimuthal width
  • not the rapidity width -- structure too narrow

Gavin + Abdel-Aziz; Gavin + Pokharel + Moschelli

hard vs soft ridge
Hard vs. Soft Ridge

hard ridge explanations -- jet interactions with matter

  • N. Armesto, C.A. Salgado, U.A. Wiedemann, Phys. Rev. Lett. 93, 242301 (2004)
  • P. Romatschke, Phys. Rev. C 75, 014901 (2007)
  • A. Majumder, B. Muller, S. A. Bass, Phys. Rev. Lett. 99, 042301 (2007)
  • C. B. Chiu, R. C. Hwa, Phys. Rev. C 72, 034903 (2005)
  • C. Y. Wong, arXiv:0712.3282 [hep-ph]
  • R. C. Hwa, C. B. Yang, arXiv:0801.2183 [nucl-th]
  • T. A. Trainor, arXiv:0708.0792 [hep-ph]
  • A. Dumitru, Y. Nara, B. Schenke, M. Strickland, arXiv:0710.1223 [hep-ph]
  • E. V. Shuryak, Phys. Rev. C 76, 047901 (2007)
  • C. Pruneau, S. Gavin, S. Voloshin, Nucl.Phys.A802:107-121,2008

soft ridge -- similar but no jet -- collective behavior

  • S. Gavin and M. Abdel-Aziz, Phys. Rev. Lett. 97, 162302 (2006)
  • S. A. Voloshin, Phys. Lett. B 632, 490 (2006)
  • S. Gavin and G. Moschelli, arXiv:0806.4366 [nucl-th]
  • A. Dumitru, F. Gelis, L. McLerran and R. Venugopalan, arXiv:0804.3858 [hep-ph]
  • S. Gavin, L. McLerran, G. Moschelli, arXiv:0806.4718 [nucl-th]
  • F. Gelis, T. Lappi, R. Venugopalan, arXiv:0807.1306 [hep-ph]
flux tubes and glasma
Flux Tubes and Glasma
  • Flux Tubes: longitudinal fields early on
  • Tubesquarks+gluons
  • Correlated Particles come from the same tube

Cross sectional slices are the same

  • Causally disconnected

Large 

flux tubes and glasma1
Flux Tubes and Glasma
  • Single flux tube: phase space density of gluons
  • Flux tube transverse size
  • Number of flux tubes
  • Gluon rapidity density

Kharzeev & Nardi:

flux tubes and the correlation function
Flux Tubes and the Correlation Function

pair density n2

single particle density n1

  • Correlation function:

Assume:

  • Partons from the same tube are correlated
  • Correlations between tubes are negligible

correlation strength

flux tube transverse size ~ Qs-1 << RA

correlation strength
Correlation Strength
  • Correlation Strength
  • Long range glasma fluctuations scale the phase space density

Dumitru, Gelis, McLerran & Venugopalan;

Gavin, McLerran & Moschelli

  • Energy and centrality dependence of correlation strength
flow and azimuthal correlations
Flow and Azimuthal Correlations

STAR soft ridge

Fireball cross section at freeze out

from Lanny Ray, RHIC & AGS User’s Meeting, ‘08

Fluid cells

r

  • Mean flow depends on position
  • Opening angle for each fluid element depends on r
blast wave and correlation function
Blast Wave and Correlation Function

Schnedermann, Sollfrank & Heinz

  • Single Particle Spectrum
  • Boltzmann Distribution
  • Cooper Frye Freeze Out Surface
  • Pair Spectrum
glasma blast wave
Glasma + Blast Wave

STAR measures:

We calculate:

Peak Amplitude 200 GeV

  • v and T from Blast Wave

Akio Kiyomichi, PHENIX

Blast Wave (with correlations)

  • Scaled to fit 200 GeV

STAR 200 GeV

  • Glasma Qs dependence

200GeV62GeV

glasma energy dependence
Glasma Energy Dependence
  • v and T from Blast Wave

Akio Kiyomichi, PHENIX

  • Scaled to fit 200 GeV
  • Glasma Qs dependence

200GeV62GeV

angular correlations
Angular Correlations
  • Fit using Gaussian + offset
  • Range:

Peak  Width

  • Error band: 20% shift in fit range

computed angular width is approximately independent of energy

summary
Summary
  • Long Range Correlation Measurements
  • PHOBOS: may extend to large rapidity
  • STAR: measurements in a smaller range
  • Blast Wave + Glasma
  • Describes amplitude and azimuthal width
  • Glasma energy and centrality dependence
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