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We report measurements of the third harmonic coefficient of the azimuthal anisotropy, v_3, known as triangular flow. The analysis is for charged particles in Au+Au collisions at sqrtsNN = 200 GeV, based on data from the STAR experiment at…

Nuclear Experiment · Physics 2013-07-16 STAR Collaboration , L. Adamczyk , J. K. Adkins , G. Agakishiev , M. M. Aggarwal , Z. Ahammed , I. Alekseev , J. Alford , C. D. Anson , A. Aparin , D. Arkhipkin , E. Aschenauer , G. S. Averichev , J. Balewski , A. Banerjee , Z. Barnovska , D. R. Beavis , R. Bellwied , M. J. Betancourt , R. R. Betts , A. Bhasin , A. K. Bhati , H. Bichsel , J. Bielcik , J. Bielcikova , L. C. Bland , I. G. Bordyuzhin , W. Borowski , J. Bouchet , A. V. Brandin , S. G. Brovko , E. Bruna , S. Bültmann , I. Bunzarov , T. P. Burton , J. Butterworth , H. Caines , M. Calderón de la Barca Sánchez , D. Cebra , R. Cendejas , M. C. Cervantes , P. Chaloupka , Z. Chang , S. Chattopadhyay , H. F. Chen , J. H. Chen , J. Y. Chen , L. Chen , J. Cheng , M. Cherney , A. Chikanian , W. Christie , P. Chung , J. Chwastowski , M. J. M. Codrington , R. Corliss , J. G. Cramer , H. J. Crawford , X. Cui , S. Das , A. Davila Leyva , L. C. De Silva , R. R. Debbe , T. G. Dedovich , J. Deng , R. Derradi de Souza , S. Dhamija , B. di Ruzza , L. Didenko , F. Ding , A. Dion , P. Djawotho , X. Dong , J. L. Drachenberg , J. E. Draper , C. M. Du , L. E. Dunkelberger , J. C. Dunlop , L. G. Efimov , M. Elnimr , J. Engelage , K. S. Engle , G. Eppley , L. Eun , O. Evdokimov , R. Fatemi , S. Fazio , J. Fedorisin , R. G. Fersch , P. Filip , E. Finch , Y. Fisyak , C. E. Flores , C. A. Gagliardi , D. R. Gangadharan , D. Garand , F. Geurts , A. Gibson , S. Gliske , O. G. Grebenyuk , D. Grosnick , Y. Guo , A. Gupta , S. Gupta , W. Guryn , B. Haag , O. Hajkova , A. Hamed , L. -X. Han , R. Haque , J. W. Harris , J. P. Hays-Wehle , S. Heppelmann , A. Hirsch , G. W. Hoffmann , D. J. Hofman , S. Horvat , B. Huang , H. Z. Huang , P. Huck , T. J. Humanic , G. Igo , W. W. Jacobs , C. Jena , E. G. Judd , S. Kabana , K. Kang , K. Kauder , H. W. Ke , D. Keane , A. Kechechyan , A. Kesich , D. P. Kikola , J. Kiryluk , I. Kisel , A. Kisiel , D. D. Koetke , T. Kollegger , J. Konzer , I. Koralt , W. Korsch , L. Kotchenda , P. Kravtsov , K. Krueger , I. Kulakov , L. Kumar , M. A. C. Lamont , J. M. Landgraf , K. D. Landry , S. LaPointe , J. Lauret , A. Lebedev , R. Lednicky , J. H. Lee , W. Leight , M. J. LeVine , C. Li , W. Li , X. Li , X. Li , Y. Li , Z. M. Li , L. M. Lima , M. A. Lisa , F. Liu , T. Ljubicic , W. J. Llope , R. S. Longacre , X. Luo , A. Luszczak , G. L. Ma , Y. G. Ma , D. M. M. D. Madagodagettige Don , D. P. Mahapatra , R. Majka , S. Margetis , C. Markert , H. Masui , H. S. Matis , D. McDonald , T. S. McShane , S. Mioduszewski , M. K. Mitrovski , Y. Mohammed , B. Mohanty , M. M. Mondal , M. G. Munhoz , M. K. Mustafa , M. Naglis , B. K. Nandi , Md. Nasim , T. K. Nayak , J. M. Nelson , L. V. Nogach , J. Novak , G. Odyniec , A. Ogawa , K. Oh , A. Ohlson , V. Okorokov , E. W. Oldag , R. A. N. Oliveira , D. Olson , M. Pachr , B. S. Page , S. K. Pal , Y. X. Pan , Y. Pandit , Y. Panebratsev , T. Pawlak , B. Pawlik , H. Pei , C. Perkins , W. Peryt , P. Pile , M. Planinic , J. Pluta , D. Plyku , N. Poljak , J. Porter , A. M. Poskanzer , C. B. Powell , C. Pruneau , N. K. Pruthi , M. Przybycien , P. R. Pujahari , J. Putschke , H. Qiu , S. Ramachandran , R. Raniwala , S. Raniwala , C. K. Riley , H. G. Ritter , J. B. Roberts , O. V. Rogachevskiy , J. L. Romero , J. F. Ross , A. Roy , L. Ruan , J. Rusnak , N. R. Sahoo , P. K. Sahu , I. Sakrejda , S. Salur , A. Sandacz , J. Sandweiss , E. Sangaline , A. Sarkar , J. Schambach , R. P. Scharenberg , A. M. Schmah , B. Schmidke , N. Schmitz , T. R. Schuster , J. Seger , P. Seyboth , N. Shah , E. Shahaliev , M. Shao , B. Sharma , M. Sharma , W. Q. Shen , S. S. Shi , Q. Y. Shou , E. P. Sichtermann , R. N. Singaraju , M. J. Skoby , D. Smirnov , N. Smirnov , D. Solanki , P. Sorensen , U. G. deSouza , H. M. Spinka , B. Srivastava , T. D. S. Stanislaus , J. R. Stevens , R. Stock , M. Strikhanov , B. Stringfellow , A. A. P. Suaide , M. C. Suarez , M. Sumbera , X. M. Sun , Y. Sun , Z. Sun , B. Surrow , D. N. Svirida , T. J. M. Symons , A. Szanto de Toledo , J. Takahashi , A. H. Tang , Z. Tang , L. H. Tarini , T. Tarnowsky , J. H. Thomas , A. R. Timmins , D. Tlusty , M. Tokarev , S. Trentalange , R. E. Tribble , P. Tribedy , B. A. Trzeciak , O. D. Tsai , J. Turnau , T. Ullrich , D. G. Underwood , G. Van Buren , G. van Nieuwenhuizen , J. A. Vanfossen, , R. Varma , G. M. S. Vasconcelos , R. Vertesi , F. Videbæk , Y. P. Viyogi , S. Vokal , S. A. Voloshin , A. Vossen , M. Wada , M. Walker , F. Wang , G. Wang , H. Wang , J. S. Wang , Q. Wang , X. L. Wang , Y. Wang , G. Webb , J. C. Webb , G. D. Westfall , H. Wieman , S. W. Wissink , R. Witt , Y. F. Wu , Z. Xiao , W. Xie , K. Xin , H. Xu , N. Xu , Q. H. Xu , W. Xu , Y. Xu , Z. Xu , C. Yang , Y. Yang , Y. Yang , P. Yepes , L. Yi , K. Yip , I. -K. Yoo , Y. Zawisza , H. Zbroszczyk , W. Zha , J. B. Zhang , S. Zhang , X. P. Zhang , Y. Zhang , Z. P. Zhang , F. Zhao , J. Zhao , C. Zhong , X. Zhu , Y. H. Zhu , Y. Zoulkarneeva , M. Zyzak

The sensitivity of flow harmonics from cumulants on the event-by-event flow distribution $p(v_n)$ is investigated using a simple central moment expansion approach. For narrow distribution whose width is much smaller than the mean…

Nuclear Experiment · Physics 2015-08-26 Jiangyong Jia , Sooraj Krishnann

Predictions are made for elliptic flow in collisions of polarized deuterons with a heavy nucleus. It is shown that the eccentricity of the initial fireball, evaluated with respect to the deuteron polarization axis perpendicular to the beam…

Nuclear Theory · Physics 2018-11-21 Piotr Bozek , Wojciech Broniowski

Anisotropic flow coefficients beyond triangular flow receive important contributions from lower-order harmonics through nonlinear coupling. We present a theoretical framework which allows one to quantify the contribution induced by such…

Nuclear Theory · Physics 2019-02-20 Giuliano Giacalone

The elliptic flow parameter (component), $v_2$, in the Fourier expansion of event-by-event charged particle multiplicity azimuthal distribution in the momentum space is studied by taking into account the multiplicity fluctuations. The…

High Energy Physics - Phenomenology · Physics 2009-12-23 Dai-Mei Zhou , Yun Cheng , Yu-Liang Yan , Bao-Guo Dong , Ben-Hao Sa , Laszlo P. Csernai

We present a systematic procedure for analyzing cumulants to arbitrary order in the context of heavy-ion collisions. It generalizes and improves existing procedures in many respects. In particular, particles which are correlated are allowed…

Nuclear Theory · Physics 2017-04-28 Philippe Di Francesco , Maxime Guilbaud , Matthew Luzum , Jean-Yves Ollitrault

The relative correlation between the magnitudes of elliptic flow ($v_2$) and triangular flow ($v_3$) has been accurately measured in nucleus-nucleus collisions at the LHC collider. As a function of the centrality of the collision, it…

Nuclear Theory · Physics 2025-12-08 Mubarak Alqahtani , Jean-Yves Ollitrault

Event-by-event fluctuations in the amplitudes of flow harmonics offer a novel approach to probing the initial-state characteristics in heavy-ion collisions. In this study, we conduct a systematic investigation of correlations among various…

Nuclear Theory · Physics 2026-03-03 Zaining Wang , Jinhui Chen , Jiangyong Jia , Yu-Gang Ma , Chunjian Zhang

We present the directed flow measurement ($v_1$) from Au+Au collisions at $\sqrtsNN = 62$ GeV. Over the pseudorapidity range we have studied, which covers $\eta$ from -1.2 to 1.2 and $2.4 < |\eta| < 4$, the magnitude of $v_1$ for charged…

Nuclear Experiment · Physics 2009-11-10 Aihong Tang

Non-identical two particle correlation functions probe asymmetries between the average space-time emission points of different particle species. The system collective expansion would produce such asymmetry because massive particles, such as…

Nuclear Experiment · Physics 2019-08-14 F. Retiere

Flow observables in heavy-ion reactions at incident energies up to about 1 GeV per nucleon have been shown to be very useful for investigating the reaction dynamics and for determining the parameters of reaction models based on transport…

Nuclear Experiment · Physics 2014-03-25 P. Russotto , M. D. Cozma , A. Le Fevre , Y. Leifels , R. Lemmon , Q. Li , J. Lukasik , W. Trautmann

The first measurements of elliptic flow of $\pi^\pm$, ${\rm K}^\pm$, p+$\overline{\rm p}$, ${\rm K_{S}^0}$, $\Lambda$+$\overline{\Lambda}$, $\phi$, $\Xi^-$+$\Xi^+$, and $\Omega^-$+$\Omega^+$ using multiparticle cumulants in Pb$-$Pb…

Nuclear Experiment · Physics 2023-06-16 ALICE Collaboration

We present a study of the elliptic (v2) and triangular (v3) flow and their corresponding eccentricity fluctuations for asymmetric (Au+Ag, Au+Cu and Au+Si) collisions at \sqrt_NN = 200 GeV. These are compared to the corresponding results…

Nuclear Experiment · Physics 2015-06-03 Md. Rihan Haque , Md. Nasim , Bedangadas Mohanty

Measurements of two-particle azimuthal angle correlations are a useful tool to study the distribution of jet energy loss, however, they are complicated because of the significant anisotropic flow background. We devise a data-driven method…

Nuclear Experiment · Physics 2019-07-24 Liang Zhang , Kun Jiang , Cheng Li , Feng Liu , Fuqiang Wang

The magnitude of anisotropic flow in a nucleus-nucleus collision is determined by the energy density field, $\rho(x,y,z)$, created right after the collision occurs. Specifically, elliptic flow, $v_2$, and triangular flow, $v_3$, are…

The event-plane method, which is widely used to analyze anisotropic flow in nucleus-nucleus collisions, is known to be biased by nonflow effects,especially at high $p_t$. Various methods (cumulants, Lee-Yang zeroes) have been proposed to…

Nuclear Experiment · Physics 2015-03-13 Ante Bilandzic , Naomi van der Kolk , Jean-Yves Ollitrault , Raimond Snellings

This paper presents results on event-by-event elliptic flow fluctuations in Au+Au collisions at sqrt(s_NN)=200Gev, where the contribution from non-flow correlations has been subtracted. An analysis method is introduced to measure non-flow…

Nuclear Experiment · Physics 2019-08-13 B. Alver

We study the longitudinal decorrelations of elliptic, triangular and quadrangular flows in heavy-ion collisions at the LHC and RHIC energies. The event-by-event CLVisc (3+1)-dimensional hydrodynamics model, combined with the fully…

Nuclear Theory · Physics 2019-02-20 Xiang-Yu Wu , Long-Gang Pang , Guang-You Qin , Xin-Nian Wang

We discuss a specific model of elliptic flow fluctuations due to Gaussian fluctuations in the initial spatial $x$ and $y$ eccentricity components $\left\{\mean{(\sigma_y^2-\sigma_x^2)/(\sigma_x^2+\sigma_y^2)},…

Nuclear Theory · Physics 2008-11-26 Sergei A. Voloshin , Arthur M. Poskanzer , Aihong Tang , Gang Wang

The ALICE Collaboration has recently measured the correlations between amplitudes of anisotropic flow in different Fourier harmonics, referred to as symmetric cumulants. We derive approximate relations between symmetric cumulants involving…

Nuclear Theory · Physics 2016-07-27 Giuliano Giacalone , Li Yan , Jacquelyn Noronha-Hostler , Jean-Yves Ollitrault
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