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The modified number of constituent quark (NCQ) scaling $v_{n}/n_{q}^{n/2} \sim KE_{T}/n_{q}$ for mesons and baryons and the scaling relation $v_{n} \sim v_{2}^{n/2}$ for higher-order anisotropic flows, which were observed experimentally,…

Nuclear Theory · Physics 2016-02-10 Chun-Jian Zhang , Jun Xu

Partonic collectivity is one of the necessary signatures for the formation of quark-gluon plasma in high-energy nuclear collisions. Number of constituent quarks (NCQ) scaling has been observed for hadron elliptic flow $v_2$ in top energy…

Nuclear Experiment · Physics 2025-08-13 STAR Collaboration , B. E. Aboona , J. Adam , L. Adamczyk , I. Aggarwal , M. M. Aggarwal , Z. Ahammed , A. K. Alshammri , E. C. Aschenauer , S. Aslam , J. Atchison , V. Bairathi , X. Bao , K. Barish , S. Behera , R. Bellwied , P. Bhagat , A. Bhasin , S. Bhatta , S. R. Bhosale , J. Bielcik , J. Bielcikova , J. D. Brandenburg , C. Broodo , X. Z. Cai , H. Caines , M. Calderón de la Barca Sánchez , D. Cebra , J. Ceska , I. Chakaberia , P. Chaloupka , B. K. Chan , Z. Chang , A. Chatterjee , D. Chen , J. Chen , J. H. Chen , Q. Chen , Z. Chen , J. Cheng , Y. Cheng , W. Christie , X. Chu , S. Corey , H. J. Crawford , M. Csanád , G. Dale-Gau , A. Das , I. M. Deppner , A. Deshpande , A. Dhamija , A. Dimri , P. Dixit , X. Dong , J. L. Drachenberg , E. Duckworth , J. C. Dunlop , J. Engelage , G. Eppley , S. Esumi , O. Evdokimov , O. Eyser , R. Fatemi , S. Fazio , Y. Feng , E. Finch , Y. Fisyak , F. A. Flor , C. Fu , T. Fu , C. A. Gagliardi , T. Galatyuk , T. Gao , F. Geurts , N. Ghimire , A. Gibson , K. Gopal , X. Gou , D. Grosnick , A. Gu , A. Gupta , A. Hamed , R. J. Hamilton , X. Han , S. Harabasz , M. D. Harasty , J. W. Harris , H. Harrison-Smith , L. B. Havener , X. H. He , Y. He , N. Herrmann , L. Holub , C. Hu , Q. Hu , Y. Hu , H. Huang , H. Z. Huang , S. L. Huang , T. Huang , Y. Huang , Y. Huang , T. J. Humanic , M. Isshiki , W. W. Jacobs , A. Jalotra , C. Jena , A. Jentsch , Y. Ji , J. Jia , C. Jin , N. Jindal , X. Ju , E. G. Judd , S. Kabana , D. Kalinkin , K. Kang , D. Kapukchyan , K. Kauder , D. Keane , M. Kesler , A. Khanal , Y. V. Khyzhniak , D. P. Kikoła , J. Kim , D. Kincses , I. Kisel , A. Kiselev , A. G. Knospe , J. Kołaś , B. Korodi , L. K. Kosarzewski , L. Kumar , M. C. Labonte , R. Lacey , J. M. Landgraf , C. Larson , J. Lauret , A. Lebedev , J. H. Lee , Y. H. Leung , C. Li , D. Li , H-S. Li , H. Li , H. Li , W. Li , X. Li , X. Li , Y. Li , Z. Li , Z. Li , X. Liang , Y. Liang , R. Licenik , T. Lin , Y. Lin , M. A. Lisa , C. Liu , G. Liu , H. Liu , L. Liu , Z. Liu , T. Ljubicic , O. Lomicky , R. S. Longacre , E. M. Loyd , T. Lu , J. Luo , X. F. Luo , L. Ma , R. Ma , Y. G. Ma , N. Magdy , D. Mallick , R. Manikandhan , S. Margetis , C. Markert , O. Matonoha , O. Mezhanska , K. Mi , S. Mioduszewski , B. Mohanty , B. Mondal , M. M. Mondal , I. Mooney , J. Mrazkova , M. I. Nagy , C. J. Naim , A. S. Nain , J. D. Nam , M. Nasim , H. Nasrulloh , D. Neff , J. M. Nelson , M. Nie , G. Nigmatkulov , T. Niida , T. Nonaka , G. Odyniec , A. Ogawa , S. Oh , K. Okubo , B. S. Page , S. Pal , A. Pandav , A. Panday , A. K. Pandey , T. Pani , A. Paul , S. Paul , D. Pawlowska , C. Perkins , J. Pluta , B. R. Pokhrel , I. D. Ponce Pinto , M. Posik , E. Pottebaum , S. Prodhan , T. L. Protzman , A. Prozorov , V. Prozorova , N. K. Pruthi , M. Przybycien , J. Putschke , Z. Qin , H. Qiu , C. Racz , S. K. Radhakrishnan , A. Rana , R. L. Ray , R. Reed , C. W. Robertson , M. Robotkova , M. A. Rosales Aguilar , D. Roy , P. Roy Chowdhury , L. Ruan , A. K. Sahoo , N. R. Sahoo , H. Sako , S. Salur , S. S. Sambyal , J. K. Sandhu , S. Sato , B. C. Schaefer , N. Schmitz , F-J. Seck , J. Seger , R. Seto , P. Seyboth , N. Shah , P. V. Shanmuganathan , T. Shao , M. Sharma , N. Sharma , R. Sharma , S. R. Sharma , A. I. Sheikh , D. Shen , D. Y. Shen , K. Shen , S. Shi , Y. Shi , F. Si , J. Singh , S. Singha , P. Sinha , M. J. Skoby , N. Smirnov , Y. Söhngen , Y. Song , T. D. S. Stanislaus , M. Stefaniak , Y. Su , M. Sumbera , X. Sun , Y. Sun , B. Surrow , M. Svoboda , Z. W. Sweger , A. C. Tamis , A. H. Tang , Z. Tang , T. Tarnowsky , J. H. Thomas , A. R. Timmins , D. Tlusty , T. Todoroki , D. Torres Valladares , S. Trentalange , P. Tribedy , S. K. Tripathy , T. Truhlar , B. A. Trzeciak , O. D. Tsai , C. Y. Tsang , Z. Tu , J. Tyler , T. Ullrich , D. G. Underwood , G. Van Buren , J. Vanek , I. Vassiliev , F. Videbæk , S. A. Voloshin , F. Wang , G. Wang , J. S. Wang , J. Wang , K. Wang , X. Wang , Y. Wang , Y. Wang , Y. Wang , Z. Wang , A. J. Watroba , J. C. Webb , P. C. Weidenkaff , G. D. Westfall , D. Wielanek , H. Wieman , G. Wilks , S. W. Wissink , R. Witt , C. P. Wong , J. Wu , J. Wu , X. Wu , B. Xi , Z. G. Xiao , G. Xie , W. Xie , H. Xu , N. Xu , Q. H. Xu , Y. Xu , Y. Xu , Z. Xu , Z. Xu , G. Yan , Z. Yan , C. Yang , Q. Yang , S. Yang , Y. Yang , Z. Ye , Z. Ye , L. Yi , Y. Yu , H. Zbroszczyk , W. Zha , C. Zhang , D. Zhang , J. Zhang , S. Zhang , W. Zhang , X. Zhang , Y. Zhang , Y. Zhang , Y. Zhang , Y. Zhang , Z. Zhang , Z. Zhang , F. Zhao , J. Zhao , M. Zhao , S. Zhou , Y. Zhou , X. Zhu , M. Zurek , M. Zyzak

We studied the number of constituent quark scaling (NCQ) behaviour of elliptic flow ($v_{2}$) under the framework of A Multi-Phase Transport model (AMPT) at both top-RHIC and LHC energies. The NCQ-scaling in $v_{2}$ holds at top-RHIC energy…

Nuclear Experiment · Physics 2016-03-30 Subhash Singha , Md. Nasim

We briefly summarize our recent study on the number of constituent quark (NCQ) scaling of hadron elliptic flows in high multiplicity p-Pb collisions at $\sqrt{s_{NN}}=$ 5.02 TeV. With the inclusion of hadron production via the quark…

Nuclear Theory · Physics 2021-02-03 Wenbin Zhao , Che Ming Ko , Yu-Xin Liu , Guang-You Qin , Huichao Song

The constituent quark number scaling of elliptic flow is studied in a non-equilibrium hadronization and freeze-out model with rapid dynamical transition from ideal, deconfined and chirally symmetric Quark Gluon Plasma, to final…

High Energy Physics - Phenomenology · Physics 2020-12-03 Sven Zschocke , Szabolcs Horvat , Igor N. Mishustin , Laszlo P. Csernai

We investigate the number-of-constituent-quark (NCQ) scaling of elliptic flow for various hadrons in non-central Au+Au collisions at \(\sqrt{s_{NN}} = 3.0\text{--}7.7\,\mathrm{GeV}\) using the AMPT model with string melting (SM) and pure…

Nuclear Theory · Physics 2025-07-25 Xun Zhu , Gao-Chan Yong

Constituent quark number scaling of elliptic flow has been proposed as one key observable to identify the phase transition or the absence of the Quark-Gluon Plasma (QGP) in heavy-ion collisions. At the fixed target program at RHIC the STAR…

Nuclear Theory · Physics 2026-03-04 Tom Reichert , Iurii Karpenko

Elliptic flow and Number of Constituent Quarks scaling provide crucial insights into the underlying dynamics and degrees of freedom in heavy-ion collisions. This article provides some insights on the transition from hadronic to partonic…

Nuclear Theory · Physics 2025-05-16 Rajeev Singh

We argue that measurements of identified-particle elliptic flow in a wide energy range could shed light on the possible phase change in high-energy heavy ion collisions at the BNL Relativistic Heavy Ion Collider (RHIC). When the…

Nuclear Theory · Physics 2009-09-28 J. Tian , J. H. Chen , Y. G. Ma , X. Z. Cai , F. Jin , G. L. Ma , S. Zhang , C. Zhong

Nonextensive statistics in a Blast-Wave model (TBW) is implemented to describe the identified hadron production in relativistic p+p and nucleus-nucleus collisions. Incorporating the core and corona components within the TBW formalism allows…

In the frame work of a nuclear overlap model, we estimate the number of nucleon and quark participants in proton-proton, proton-nucleus and nucleus-nucleus collisions. We observe the number of nucleon ($N_{N-part}$)-normalized enhancement…

High Energy Physics - Phenomenology · Physics 2013-11-19 Nirbhay K. Behera , Raghunath Sahoo , Basanta K. Nandi

The number of constituent quarks (NCQ-) scaling of hadrons and the number of constituent nucleons (NCN-) scaling of light nuclei are proposed for nuclear modification factors ($R_{cp}$) of hadrons and light nuclei, respectively, according…

Nuclear Theory · Physics 2016-12-02 C. S. Zhou , Y. G. Ma , S. Zhang

We show that the experimental data of transverse momentum ($p_{T}$) spectra of $\Omega$ baryon and $\phi$ meson at mid-rapidity in heavy-ion collisions exhibit the constituent quark number scaling in a wide energy range from RHIC to LHC.…

Nuclear Theory · Physics 2020-08-21 Jun Song , Feng-lan Shao , Zuo-tang Liang

Using models ranging from schematic one with a simple quark distribution to more realistic blast wave, we study the elliptic flow of hadrons produced from coalescence of quarks and antiquarks in the quark-gluon plasma that is formed in…

Nuclear Theory · Physics 2007-05-23 V. Greco , C. M. Ko

Anisotropic flows ($v_2$ and $v_4$) of hadrons and light nuclear clusters are studied by a partonic transport model and nucleonic transport model, respectively, in ultra-relativistic and intermediate energy heavy ion collisions. Both…

Nuclear Theory · Physics 2008-11-26 Y. G. Ma

During the early development of Quantum Chromodynamics, it was proposed that baryon number could be carried by a non-perturbative Y-shaped topology of gluon fields, called the gluon junction, rather than by the valence quarks as in the QCD…

Yields of hadrons, their average masses and energies per hadron at the stage of chemical freeze-out in (ultra)relativistic heavy-ion collisions are analyzed within the statistical model. The violation of the scaling <E>/<N> = 1 GeV observed…

Nuclear Theory · Physics 2009-11-07 L. Bravina , Amand Faessler , C. Fuchs , Z. -D. Lu , E. Zabrodin

The nucleon exhibits a rich internal structure governed by Quantum Chromodynamics (QCD), where its electric charge arises from valence quarks, while its spin and mass emerge from complex interactions among valence quarks, sea (anti-)quarks,…

High Energy Physics - Phenomenology · Physics 2025-11-19 Niseem Magdy , Prithwish Tribedy , Chun Yuen Tsang , Zhangbu Xu

The number-of-constituent-quark (NCQ) scaling behavior of the elliptic flow of identified particles produced in A+A collisions is studied quantitatively using an empirical function that fits the experimental $v_2$ data available from the…

High Energy Physics - Phenomenology · Physics 2022-03-22 M. Wang , J. Q. Tao , H. Zheng , W. C. Zhang , L. L. Zhu , A. Bonasera

The number of constituent quark (NCQ) scaling behavior of elliptic flow has been systematically studied at the LHC energy within the framework of a multiphase transport model (AMPT) in this work. We find that the parameters used to generate…

Nuclear Theory · Physics 2017-06-16 Liang Zheng , Hui Li , Hong Qin , Qi-Ye Shou , Zhong-Bao Yin
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