Measurements of Higher Order Flow Harmonics in Au plus Au Collisions at root s ( NN ) = 200 GeV

Flow coefficients nu(n) for n = 2, 3, 4, characterizing the anisotropic collective flow in Au + Au collisions at root s(NN) = 200 GeV, are measured relative to event planes Psi(n), determined at large rapidity. We report nu(n) as a function of transverse momentum and collision centrality, and study the correlations among the event planes of different order n. The nu(n) are well described by hydrodynamic models which employ a Glauber Monte Carlo initial state geometry with fluctuations, providing additional constraining power on the interplay between initial conditions and the effects of viscosity as the system evolves. This new constraint can serve to improve the precision of the extracted shear viscosity to entropy density ratio eta/s. Disciplines Elementary Particles and Fields and String Theory | Physics Comments This article is published as Adare, A., S. Afanasiev, C. Aidala, N. N. Ajitanand, Y. Akiba, H. Al-Bataineh, J. Alexander et al. "Measurements of higher order flow harmonics in Au+ Au collisions at s N N= 200 GeV." Physical Review Letters 107, no. 25 (2011): 252301. DOI:10.1103/PhysRevLett.107.252301. Posted with permission. Authors Andrew Adare, John C. Hill, Todd Kempel, John G. Lajoie, Alexandre Lebedev, Craig Ogilvie, H. Pei, Marzia Rosati, Alexey Yu. Semenov, Carla Vale, Feng Wei, et al., and PHENIX Collaboration This article is available at Iowa State University Digital Repository: http://lib.dr.iastate.edu/physastro_pubs/294 Measurements of Higher Order Flow Harmonics in AuþAu Collisions at ffiffiffiffiffiffiffiffi sNN p 1⁄4 200 GeV A. Adare, S. Afanasiev, C. Aidala, N.N. Ajitanand, Y. Akiba, H. Al-Bataineh, J. Alexander, K. Aoki, Y. Aramaki, E. T. Atomssa, R. Averbeck, T. C. Awes, B. Azmoun, V. Babintsev, M. Bai, G. Baksay, L. Baksay, K. N. Barish, B. Bassalleck, A. T. Basye, S. Bathe, V. Baublis, C. Baumann, A. Bazilevsky, S. Belikov,* R. Belmont, R. Bennett, A. Berdnikov, Y. Berdnikov, A.A. Bickley, J. S. Bok, K. Boyle, M. L. Brooks, H. Buesching, V. Bumazhnov, G. Bunce, S. Butsyk, C.M. Camacho, S. Campbell, C.-H. Chen, C. Y. Chi, M. Chiu, I. J. Choi, R.K. Choudhury, P. Christiansen, T. Chujo, P. Chung, O. Chvala, V. Cianciolo, Z. Citron, B. A. Cole, M. Connors, P. Constantin, M. Csanád, T. Csörgő, T. Dahms, S. Dairaku, I. Danchev, K. Das, A. Datta, G. David, A. Denisov, A. Deshpande, E. J. Desmond, O. Dietzsch, A. Dion, M. Donadelli, O. Drapier, A. Drees, K.A. Drees, J.M. Durham, A. Durum, D. Dutta, S. Edwards, Y. V. Efremenko, F. Ellinghaus, T. Engelmore, A. Enokizono, H. En’yo, S. Esumi, B. Fadem, D. E. Fields, M. Finger, M. Finger, Jr., F. Fleuret, S. L. Fokin, Z. Fraenkel,* J. E. Frantz, A. Franz, A.D. Frawley, K. Fujiwara, Y. Fukao, T. Fusayasu, I. Garishvili, A. Glenn, H. Gong, M. Gonin, Y. Goto, R. Granier de Cassagnac, N. Grau, S. V. Greene, M. Grosse Perdekamp, T. Gunji, H.-Å. Gustafsson,* J. S. Haggerty, K. I. Hahn, H. Hamagaki, J. Hamblen, R. Han, J. Hanks, E. P. Hartouni, E. Haslum, R. Hayano, X. He, M. Heffner, T. K. Hemmick, T. Hester, J. C. Hill, M. Hohlmann, W. Holzmann, K. Homma, B. Hong, T. Horaguchi, D. Hornback, S. Huang, T. Ichihara, R. Ichimiya, J. Ide, Y. Ikeda, K. Imai, M. Inaba, D. Isenhower, M. Ishihara, T. Isobe, M. Issah, A. Isupov, D. Ivanischev, B. V. Jacak, J. Jia, J. Jin, B.M. Johnson, K. S. Joo, D. Jouan, D. S. Jumper, F. Kajihara, S. Kametani, N. Kamihara, J. Kamin, J. H. Kang, J. Kapustinsky, K. Karatsu, D. Kawall, M. Kawashima, A.V. Kazantsev, T. Kempel, A. Khanzadeev, K.M. Kijima, B. I. Kim, D. H. Kim, D. J. Kim, E. Kim, E. J. Kim, S. H. Kim, Y. J. Kim, E. Kinney, K. Kiriluk, Á. Kiss, E. Kistenev, L. Kochenda, B. Komkov, M. Konno, J. Koster, D. Kotchetkov, A. Kozlov, A. Král, A. Kravitz, G. J. Kunde, K. Kurita, M. Kurosawa, Y. Kwon, G. S. Kyle, R. Lacey, Y. S. Lai, J. G. Lajoie, A. Lebedev, D.M. Lee, J. Lee, K. Lee, K. B. Lee, K. S. Lee, M. J. Leitch, M.A. L. Leite, E. Leitner, B. Lenzi, X. Li, P. Liebing, L. A. Linden Levy, T. Liška, A. Litvinenko, H. Liu, M.X. Liu, B. Love, R. Luechtenborg, D. Lynch, C. F. Maguire, Y. I. Makdisi, A. Malakhov, M.D. Malik, V. I. Manko, E. Mannel, Y. Mao, H. Masui, F. Matathias, M. McCumber, P. L. McGaughey, N. Means, B. Meredith, Y. Miake, A. C. Mignerey, P. Mikeš, K. Miki, A. Milov, M. Mishra, J. T. Mitchell, A.K. Mohanty, Y. Morino, A. Morreale, D. P. Morrison, T. V. Moukhanova, J. Murata, S. Nagamiya, J. L. Nagle, M. Naglis, M. I. Nagy, I. Nakagawa, Y. Nakamiya, T. Nakamura, K. Nakano, J. Newby, M. Nguyen, R. Nouicer, A. S. Nyanin, E. O’Brien, S. X. Oda, C. A. Ogilvie, M. Oka, K. Okada, Y. Onuki, A. Oskarsson, M. Ouchida, K. Ozawa, R. Pak, V. Pantuev, V. Papavassiliou, I. H. Park, J. Park, S. K. Park, W. J. Park, S. F. Pate, H. Pei, J.-C. Peng, H. Pereira, V. Peresedov, D. Yu. Peressounko, C. Pinkenburg, R. P. Pisani, M. Proissl, M. L. Purschke, A. K. Purwar, H. Qu, J. Rak, A. Rakotozafindrabe, I. Ravinovich, K. F. Read, K. Reygers, V. Riabov, Y. Riabov, E. Richardson, D. Roach, G. Roche, S. D. Rolnick, M. Rosati, C. A. Rosen, S. S. E. Rosendahl, P. Rosnet, P. Rukoyatkin, P. Ružička, B. Sahlmueller, N. Saito, T. Sakaguchi, K. Sakashita, V. Samsonov, S. Sano, T. Sato, S. Sawada, K. Sedgwick, J. Seele, R. Seidl, A.Yu. Semenov, R. Seto, D. Sharma, I. Shein, T.-A. Shibata, K. Shigaki, M. Shimomura, K. Shoji, P. Shukla, A. Sickles, C. L. Silva, D. Silvermyr, C. Silvestre, K. S. Sim, B. K. Singh, C. P. Singh, V. Singh, M. Slunečka, R.A. Soltz, W. E. Sondheim, S. P. Sorensen, I. V. Sourikova, N.A. Sparks, P.W. Stankus, E. Stenlund, S. P. Stoll, T. Sugitate, A. Sukhanov, J. Sziklai, E.M. Takagui, A. Taketani, R. Tanabe, Y. Tanaka, K. Tanida, M. J. Tannenbaum, S. Tarafdar, A. Taranenko, P. Tarján, H. Themann, T. L. Thomas, M. Togawa, A. Toia, L. Tomášek, H. Torii, R. S. Towell, I. Tserruya, Y. Tsuchimoto, C. Vale, H. Valle, H.W. van Hecke, E. Vazquez-Zambrano, A. Veicht, J. Velkovska, R. Vértesi, A. A. Vinogradov, M. Virius, V. Vrba, E. Vznuzdaev, X. R. Wang, D. Watanabe, K. Watanabe, Y. Watanabe, F. Wei, R. Wei, J. Wessels, S. N. White, D. Winter, J. P. Wood, C. L. Woody, R.M. Wright, M. Wysocki, W. Xie, Y. L. Yamaguchi, K. Yamaura, R. Yang, A. Yanovich, J. Ying, S. Yokkaichi, Z. You, G. R. Young, I. Younus, I. E. Yushmanov, W.A. Zajc, C. Zhang, S. Zhou, and L. Zolin PRL 107, 252301 (2011) P HY S I CA L R EV I EW LE T T E R S week ending 16 DECEMBER 2011 0031-9007=11=107(25)=252301(7) 252301-1 2011 American Physical Society (PHENIX Collaboration) Abilene Christian University, Abilene, Texas 79699, USA Department of Physics, Banaras Hindu University, Varanasi 221005, India Bhabha Atomic Research Centre, Bombay 400 085, India Collider-Accelerator Department, Brookhaven National Laboratory, Upton, New York 11973-5000, USA Physics Department, Brookhaven National Laboratory, Upton, New York 11973-5000, USA University of California-Riverside, Riverside, California 92521, USA Charles University, Ovocný trh 5, Praha 1, 116 36, Prague, Czech Republic Chonbuk National University, Jeonju, 561-756, Korea Science and Technology on Nuclear Data Laboratory, China Institute of Atomic Energy, Beijing 102413, P. R. China Center for Nuclear Study, Graduate School of Science, University of Tokyo, 7-3-1 Hongo, Bunkyo, Tokyo 113-0033, Japan University of Colorado, Boulder, Colorado 80309, USA Columbia University, New York, New York 10027 and Nevis Laboratories, Irvington, New York 10533, USA Czech Technical University, Zikova 4, 166 36 Prague 6, Czech Republic Dapnia, CEA Saclay, F-91191, Gif-sur-Yvette, France Debrecen University, H-4010 Debrecen, Egyetem tér 1, Hungary ELTE, Eötvös Loránd University, H-1117 Budapest, Pázmány P. s. 1/A, Hungary Ewha Womans University, Seoul 120-750, Korea Florida Institute of Technology, Melbourne, Florida 32901, USA Florida State University, Tallahassee, Florida 32306, USA Georgia State University, Atlanta, Georgia 30303, USA Hiroshima University, Kagamiyama, Higashi-Hiroshima 739-8526, Japan IHEP Protvino, State Research Center of Russian Federation, Institute for High Energy Physics, Protvino, 142281, Russia University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA Institute for Nuclear Research of the Russian Academy of Sciences, prospekt 60-letiya Oktyabrya 7a, Moscow 117312, Russia Institute of Physics, Academy of Sciences of the Czech Republic, Na Slovance 2, 182 21 Prague 8, Czech Republic Iowa State University, Ames, Iowa 50011, USA Joint Institute for Nuclear Research, 141980 Dubna, Moscow Region, Russia Helsinki Institute of Physics and University of Jyväskylä, P. O. Box 35, FI-40014 Jyväskylä, Finland KEK, High Energy Accelerator Research Organization, Tsukuba, Ibaraki 305-0801, Japan KFKI Research Institute for Particle and Nuclear Physics of the Hungarian Academy of Sciences (MTA KFKI RMKI), H-1525 Budapest 114, PO Box 49, Budapest, Hungary Korea University, Seoul, 136-701, Korea Russian Research Center ‘‘Kurchatov Institute’’, Moscow, 123098 Russia Kyoto University, Kyoto 606-8502, Japan Laboratoire Leprince-Ringuet, Ecole Polytechnique, CNRS-IN2P3, Route de Saclay, F-91128, Palaiseau, France Lawrence Livermore National Laboratory, Livermore, California 94550, USA Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA LPC, Université Blaise Pascal, CNRS-IN2P3, Clermont-Fd, 63177 Aubiere Cedex, France Department of Physics, Lund University, Box 118, SE-221 00 Lund, Sweden University of Maryland, College Park, Maryland 20742, USA Department of Physics, University of Massachusetts, Amherst, Massachusetts 01003-9337, USA Institut fur Kernphysik, University of Muenster, D-48149 Muenster, Germany Muhlenberg College, Allentown, Pennsylvania 18104-5586, USA Myongji University, Yongin, Kyonggido 449-728, Korea Nagasaki Institute of Applied Science, Nagasaki-shi, Nagasaki 851-0193, Japan University of New Mexico, Albuquerque, New Mexico 87131, USA New Mexico State University, Las Cruces, New Mexico 88003, USA Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA IPN-Orsay

F. Fleuret | D. Kim | A. Sukhanov | A. Mignerey | R. Nouicer | R. Pak | C. Vale | J. Hanks | A. Basye | Z. Citron | M. Donadelli | F. Ellinghaus | N. Grau | J. Jia | M. Leite | B. Lenzi | A. Milov | T. Nakamura | P. Ruzicka | V. Vrba | S. White | T. Ichihara | J. Kang | J. Ying | C. Woody | S. Stoll | Y. Onuki | D. Isenhower | J. Hill | M. Proissl | Y. Yamaguchi | T. Dahms | R. Choudhury | D. Dutta | A. Mohanty | P. Shukla | B. Hong | S. Park | K. Sim | S. Afanasiev | M. Nguyen | J. Alexander | M. Hohlmann | G. Kunde | C. Silvestre | M. Issah | C. Maguire | J. Velkovska | Y. Kim | M. Finger | S. Greene | A. Malakhov | K. Lee | A. Kiss | T. Fusayasu | L. Tomasek | A. Oskarsson | G. Baksay | L. Baksay | Y. Ikeda | R. Ichimiya | M. Csanád | T. Csörgő | A. Veicht | C. Rosen | R. Soltz | Y. Tanaka | D. Hornback | M. Heffner | J. Mitchell | C. Ogilvie | J. Peng | T. Sato | J. Jin | D. Kotchetkov | K. Tanida | O. Chvála | J. Haggerty | W. Xie | J. Frantz | V. Papavassiliou | R. Hayano | K. Read | E. Hartouni | J. Kamin | M. Nagy | B. Singh | C. Aidala | J. Durham | I. Ravinovich | A. Sickles | O. Drapier | V. Samsonov | A. Vinogradov | S. Rosendahl | J. Nagle | B. Cole | J. Sziklai | Y. Efremenko | R. Averbeck | Y. Berdnikov | H. Buesching | T. Chujo | S. Fokin | T. Gunji | H. Hamagaki | M. Inaba | B. Jacak | A. Kazantsev | A. Khanzadeev | V. Manko | Y. Miake | A. Nyanin | H. Pei | J. Rak | A. Rakotozafindrabe | K. Reygers | V. Riabov | K. Shigaki | M. Shimomura | D. Silvermyr | S. Sorensen | T. Sugitate | A. Toia | R. Vértesi | J. Wessels | P. Rosnet | S. Kim | J. Newby | A. Enokizono | R. Tanabe | A. Glenn | H. Torii | H. Pereira | T. Moukhanova | J. Hamblen | S. Sano | T. Awes | S. Zhou | D. Peressounko | K. Ozawa | I. Yushmanov | D. Kim | P. Constantin | T. Horaguchi | A. Adare | K. Das | S. Esumi | I. Garishvili | R. Belmont | M. Connors | A. Morreale | W. J. Park | D. Watanabe | P. Stankus | H. Masui | C. Zhang | W. Zajc | K. Barish | S. Huang | L. Kochenda | R. Lacey | J. Lee | X. Li | H. Liu | R. Seto | A. Taranenko | M. Gonin | W. Sondheim | E. Kim | Z. You | A. Frawley | O. Dietzsch | E. M. Takagui | A. Taketani | R. Seidl | Z. Fraenkel | V. Pantuev | J. Park | A. Berdnikov | A. Drees | A. Franz | N. Saito | C. Chi | S. Bathe | K. Drees | A. Durum | A. Yanovich | K. Karatsu | I. Park | K. Kurita | S. Nagamiya | M. Purschke | E. Atomssa | I. Shein | A. Bazilevsky | T. Liska | M. Malik | T. Isobe | Y. Kwon | S. Pate | M. Kawashima | K. Yamaura | B. Kim | C. Chen | N. Ajitanand | Y. Akiba | K. Aoki | B. Azmoun | V. Babintsev | M. Bai | B. Bassalleck | V. Baublis | J. Bok | K. Boyle | M. Brooks | V. Bumazhnov | S. Butsyk | S. Campbell | I. Choi | P. Christiansen | V. Cianciolo | S. Dairaku | A. Datta | G. David | A. Denisov | E. Desmond | A. Dion | T. Engelmore | B. Fadem | D. Fields | Y. Fukao | R. Cassagnac | M. Perdekamp | K. Hahn | X. He | T. Hemmick | T. Hester | K. Imai | A. Isupov | D. Ivanischev | B. Johnson | K. Joo | D. Jouan | D. Jumper | D. Kawall | K. Kijima | E. Kistenev | B. Komkov | J. Koster | M. Kurosawa | Y. Lai | J. Lajoie | A. Lebedev | K. Lee | M. Leitch | A. Litvinenko | M. Liu | B. Love | D. Lynch | Y. Makdisi | E. Mannel | M. McCumber | P. McGaughey | B. Meredith | D. Morrison | J. Murata | I. Nakagawa | Y. Nakamiya | K. Nakano | K. Okada | V. Peresedov | C. Pinkenburg | R. Pisani | H. Qu | Y. Riabov | E. Richardson | D. Roach | S. Rolnick | M. Rosati | P. Rukoyatkin | B. Sahlmueller | S. Sawada | K. Sedgwick | J. Seele | T. Shibata | K. Shoji | C. Silva | C. P. Singh | V. Singh | I. Sourikova | E. Stenlund | M. Tannenbaum | S. Tarafdar | R. Towell | I. Tserruya | H. W. Hecke | E. Vazquez-Zambrano | M. Virius | E. Vznuzdaev | X. Wang | K. Watanabe | Y. Watanabe | F. Wei | R. Wei | D. Winter | M. Wysocki | R. Yang | S. Yokkaichi | I. Younus | L. Zolin | Y. Aramaki | H. En’yo | Y. Goto | K. Homma | E. O'brien | T. Sakaguchi | D. Sharma | J. Wood | H. Al-Bataineh | C. Baumann | S. Belikov | R. Bennett | A. Bickley | G. Bunce | C. M. Camacho | M. Chiu | P. Chung | I. Danchev | S. Edwards | K. Fujiwara | H. Gong | H. Gustafsson | R. Han | E. Haslum | W. Holzmann | M. Ishihara | F. Kajihara | S. Kametani | N. Kamihara | J. Kapustinsky | T. Kempel | E. Kinney | K. Kiriluk | M. Konno | A. Kozlov | A. Kravitz | G. Kyle | D. Lee | P. Liebing | L. A. Levy | Y. Mao | F. Matathias | N. Means | K. Miki | M. Mishra | Y. Morino | M. Naglis | S. Oda | M. Oka | M. Ouchida | A. Purwar | G. Roche | K. Sakashita | A. Semenov | H. Themann | T. Thomas | M. Togawa | Y. Tsuchimoto | H. Valle | R. M. Wright | M. Slunecka | A. Král | P. Mikes | P. Tarjan | A. Deshpande | J. Ide | E. Leitner | R. Luechtenborg | N. A. Sparks | S. Huang | J. Wood | R. D. G. Cassagnac | C. Camacho