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Two- and Three-Particle Correlations in a Partonic Transport Model

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This study investigates two- and three-particle correlations within a partonic transport model, exploring the implications of parton cascade mechanisms and hadronic rescattering on particle interactions. We analyze associated particles and di-hadron correlations, revealing significant insights into how a hard probe interacts with a colored medium and the emergence of Mach-like structures. Results suggest that partonic shock waves are essential in understanding the dynamics of heavy-ion collisions, with a focus on pT dependences and implications for future research in heavy-ion physics.

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Two- and Three-Particle Correlations in a Partonic Transport Model

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  1. Two- and Three-particle Correlations in a Partonic Transport Model Y.G. Ma, G.L. Ma, S. Zhang, X. Z. Cai, H. Z. Huang et al. Shanghai Institute of Applied Physics, CAS • Background introduction • Model introduction • Analysis method • Results and discussions • Conclusions G.L. Ma, S. Zhang, YGM et al., Phys Lett B 641, 362 (2006) G.L.Ma, YGM, S. Zhang et al., arXiv:nucl-th/0608050, sub to PLB G.L.Ma, S. Zhang, YGM et al., arXiv:nucl-th/0610088, sub to APS (1

  2. Associated particles On away side: pT(assoc) > 2 GeV/c Hard associated particles → suppression 4 < pT(trig) < 6 GeV/c pT(assoc) > 0.15 GeV/c Soft associated particles→ enhancement Di-hadron correlations (2

  3. <pT> from away jets near side SOFTENED BROADENED <pT> from medium decay thermalization??? away side Soft Associated particles on Away side (thermalization) What happens to a hard probe that traverses a colored medium? softened + broadened =?= thermalized (3

  4. PHENIX PRL 97, 052301 (2006) NPA 774, 581 (2006) Mach-like Structures (4

  5. Possible interpretations of Mach-like structures Wake Effect or “sonic boom” Θemission= arccos (cs/c) NPA 750, 121 (2005) Stöecker hep-ph/0411315, hep-ph/0602183 Casalderrey-Solana PLB 618, 123 (2005) J. Ruppert PRC 73, 011901(R) (2006) T. Renk PRL 97, 062301(2006) A. K. Chaudhuri Cherenkov gluon radiation Θemission= arccos (1/n(p)) PRL 96, 172302 (2006) Koch, Majumder, X.-N. Wang PLB 630, 78 (2005) I. Vitev NPA 767, 233 (2006) I.M. Dremin Correlation of Jet with flowing medium PRC 72, 064910 (2005) Armesto (5

  6. AMPT model a multi-phase transport model (by C. M. Ko and Z. W. Lin et al.) (2) Melting AMPT Model (1) Default AMPT Model (6

  7. Mixing-event Technique • (1) Get raw  correlation signal in same event. • (2)Get respective background by mixing events in same centrality. • (3)Get  correlation by removing background with ZYAM method. Background Subtracted signal (7

  8.  correlations from AMPT (3<pTtrigger<6GeV/c ,0.15<pTassoc<3GeV/c) Au+Au 200GeV (0-10%) (1) ▲melting version after hadronic rescattering (2) ● melting version before hadronic rescattering (3)◆ default version after hadronic rescattering (4)★ default version before hadronic rescattering (5) ■ Star Data 0-5% (4-6)*(0.15-4)GeV/c factor=1.58 (8

  9. D Mach-like Structures in AMPT model  correlations in Au+Au 200GeV (2.5<pTtrigger<4GeV/c ,1<pTassoc<2.5GeV/c) (9

  10. near near 3-4 GeV/c 1-2 GeV/c near assoc trigger Medium soft bkgd assoc Medium Medium away away mach cone away di-jets deflected jets Is there conical flow? Df2 3-particle correlation Df1 hard-soft-corr + soft-bkgd. Df2 flow modulated background: soft-soft-corr in underlying event. Df1

  11. background subtracted 3-particle correlation signal Three-particle correlations in AMPT mix-event technique (2.5<pTtrigger<4GeV/c ,1<pTassoc<2.5GeV/c) (10

  12. The Npart dependences of three-particle correlations 3-particle correlation density definition: (11

  13. No Mach-cone behavior! What happens for p+p?

  14. Mid-rapidity trig. asso. Forward-rapidity Correlations between forward- and mid-rapidity in d+Au collisions STAR Preliminary

  15. Parton cascade effect on 2- and 3- particle correlations (1)Hadronic rescattering mechanism also can produce 2- and 3-particle correlations, but it can not give big enough splitting parameters. (2) Parton cascade mechanism is essential for describing the amplitude of experimental mach-like structure. (12

  16. Time Evolution of Mach-like Structures in AMPT model Lifetime parton cascade hadronic rescattering • At least a lifetime of partonic matter of 1.5 fm/c is needed for the birth of Mach-like structures for 10mb. (13

  17. Au+Au 200GeV (0-10%) Partonic Mach-Like Shock Waves ? (14

  18. (15 pT dependences of Mach-like structures pT-dependent Mach-like shock waves (15

  19. ? ? √ ? ? ? η dependences of Mach-like structures PHOBOS (16

  20. Conclusions and Outlook Conclusions: • Partonic Mach-like shock waves are born in the strong parton cascade and further developed in hadronic rescattering process. • Hadronic rescattering mechanism can produce similar correlation, but it can not give big enough splitting parameters and correlation areas. • The partonic shock waves are centrality-dependent ,pT-dependent and η-dependent. Outlook: • Special trigger particles and associated particles • System-size dependence including d+Au and p+p • Δη and ridge- correlations (17

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