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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 Q s Dependence Blast Wave + Correlations Transverse Flow

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Long Range Correlations and The Soft Ridge

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  1. 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

  2. PHOBOS: High pt Triggered Ridge from Edward Wenger, RHIC & AGS User’s Meeting, ‘08

  3. PHOBOS: High pt Triggered Ridge from Edward Wenger, RHIC & AGS User’s Meeting, ‘08

  4. PHOBOS: High pt Triggered Ridge long range correlations from Edward Wenger, RHIC & AGS User’s Meeting, ‘08

  5. 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

  6. 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

  7. 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

  8. 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]

  9. 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 

  10. 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:

  11. 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

  12. 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

  13. 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

  14. Blast Wave and Correlation Function Schnedermann, Sollfrank & Heinz • Single Particle Spectrum • Boltzmann Distribution • Cooper Frye Freeze Out Surface • Pair Spectrum

  15. Blast Wave and Correlation Function • Correlation Function

  16. 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

  17. Glasma Energy Dependence • v and T from Blast Wave Akio Kiyomichi, PHENIX • Scaled to fit 200 GeV • Glasma Qs dependence 200GeV62GeV

  18. Angular Correlations • Fit using Gaussian + offset • Range: Peak  Width • Error band: 20% shift in fit range computed angular width is approximately independent of energy

  19. 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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