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Study of Fluctuations on Isospin Symmetry in Au+Au Collisions at RHIC-PHENIX

Study of Fluctuations on Isospin Symmetry in Au+Au Collisions at RHIC-PHENIX. Tomoaki Nakamura / Kensuke Homma Hiroshima Univ. for the PHENIX Collaboration. Contents. Physics Motivation PHENIX Experiment Multi Resolution Analysis (MRA) Result Summary.

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Study of Fluctuations on Isospin Symmetry in Au+Au Collisions at RHIC-PHENIX

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  1. Study of Fluctuations on Isospin Symmetry in Au+Au Collisions at RHIC-PHENIX Tomoaki Nakamura / Kensuke Homma Hiroshima Univ. for the PHENIX Collaboration Tomoaki Nakamura Hiroshima Univ.

  2. Contents • Physics Motivation • PHENIX Experiment • Multi Resolution Analysis (MRA) • Result • Summary Tomoaki Nakamura Hiroshima Univ.

  3. Centauro Type Event Anti Centauro (High Energy Cosmic Ray Experiment) • (Brazil-Japan collaboration in Bolivia)Y.Fujimoto and S.Hasegawa, Phys. Rep. 65, 151 (1980) • (JACEE) J.J.Lord and Iwai, Paper No. 515, International Conference on High Energy Physics, Dallas (1992) (High Energy Accerarator Experiment) • (UA5) K. Alpgard rt al., Phys. Lett. 115B, 71 (1982) • (CDF) P.L.Melese for the CDF Collaboration XIth Topical Workshop on ppbar Collider Physics (1996) • (MINIMAX)T.C.Brooks et al., Phys. Rev. D 55, 5667 (1997) (High Energy Heavy Ion Experiment) • (WA98)Tapan K. Nayak et al., Nucl.Phys.A663:745-748, (2000) O : Photon, + : Charged Particle Tomoaki Nakamura Hiroshima Univ.

  4. Disoriented Chiral Condensate V V π π σ σ (Quench Mechanism) K.Rajagopal and F.Wilczek : Nucl. Phys. B379, 395 (1993) Restoration Quench QCD vacuum DCC Fluctuation of Asymmetry as a function of pseudo rapidity Chiral Transformation Linear sigma model Tomoaki Nakamura Hiroshima Univ.

  5. PHENIX Experiment at Rejected EMCal Cluster Associated PC3 Cluster PC1 Cluster BBC Z-Vertex Z Using Magnetic Field-off data Gamma like Cluster (EMC) Charged Track (PC1, PC3) Pad Chamber 1 (PC1) Pad Chamber 2 (PC2) Lead Grass Electro-Magnetic Calorimeter (EMC) Tomoaki Nakamura Hiroshima Univ.

  6. Correlation between Charged Tracks and Gamma like Clusters (Real Data) (MC with Full Reconstruction) Tomoaki Nakamura Hiroshima Univ.

  7. Isospin Asymmetry Domain Size δAI3 Deviation Size Domain Position pseudo rapidity Tomoaki Nakamura Hiroshima Univ.

  8. Multi Resolution Analysis (MRA) Levelj-1: 2j-1bins Levelj : 2jbins φ(x) 0.7 Scaling function x 1 φ(2x) 1 φ(2x-1) (+) -0.7 = 1 x 1 x ψ(x) (-) -1 0.7 -1 Wavelet function x φ(2x)= 1/√2 {φ(x)+ψ(x)} φ(2x-1)= 1/√2 {φ(x)- ψ(x)} -0.7 Tomoaki Nakamura Hiroshima Univ.

  9. Signal Decomposition Signal j=4 22 20 φ ψ Cjk Djk j=3 + j=2 + j=1 + j=0 + k k j : resolution level k : k-th bin in pseudo rapidity Cjk : coefficients of φ Djk : coefficients of ψ j → Domain Size k → Phase Space Position Djk → Deviation Size Tomoaki Nakamura Hiroshima Univ.

  10. Djk Max distribution j=5 Δη=0.0219 j=4 Δη=0.0438 j=3 Δη=0.0875 j=2 Δη=0.1750 j=1 Δη=0.3500 -0.6 -0.4 -0.2 0.0 0.2 0.4 0.6 [Djk max] Red : Real Data PHENIXB-field off data √sNN =130GeV Selected 44,180 events from minimum bias 700k events. Blue : MC with Full reconstructionHIJING √sNN =130GeV Selected 25,281 events from minimum bias 200k events Tomoaki Nakamura Hiroshima Univ.

  11. Probability of Large Djk Max Event Djk Max (J=5) (Nch = 10, Nγ=10) 99.95% exclude 99.98% exclude 99.999% exclude [Djk max] Binomial Distribution Tomoaki Nakamura Hiroshima Univ.

  12. Event Sample (1) Asymmetry (-) Asymmetry (+) PC1 PC1 j=5Δη=0.0219 Phi [rad] Phi [rad] PC3 PC3 Z [cm] Z [cm] Phi [rad] Phi [rad] Z [cm] Z [cm] EMC EMC Phi [rad] Phi [rad] Z [cm] Z [cm] Tomoaki Nakamura Hiroshima Univ.

  13. Event Sample (2) PC1 PC1 j=4Δη=0.0438 j=3Δη=0.0875 Phi [rad] Phi [rad] PC3 PC3 Z [cm] Z [cm] Phi [rad] Phi [rad] Z [cm] Z [cm] EMC EMC Phi [rad] Phi [rad] Z [cm] Z [cm] Tomoaki Nakamura Hiroshima Univ.

  14. Event Sample (3) PC1 PC1 j=2Δη=0.1750 j=1Δη=0.3500 Phi [rad] Phi [rad] PC3 PC3 Z [cm] Z [cm] Phi [rad] Phi [rad] Z [cm] Z [cm] EMC EMC Phi [rad] Phi [rad] Z [cm] Z [cm] Tomoaki Nakamura Hiroshima Univ.

  15. Total Energy (Centrality) j=5 Δη=0.0219 j=4 Δη=0.0438 j=3 Δη=0.0875 j=2 Δη=0.1750 j=1 Δη=0.3500 [GeV] Total Energy of Electro-Magnetic Calorimeter Tomoaki Nakamura Hiroshima Univ.

  16. Summary (# of anomalous events) / (selected total # of events) : 153 / 44,180 • The total 155 anomalous events are found by MRA. The definition of “anomalous events” is the events above thresholds which exclude 99.999% of normal events, if those normal events are based on combination of the binominal distributions. • We are investigating the nature of the events with large deviation from binomial, whether those are coming from PHYSICS or detector. Tomoaki Nakamura Hiroshima Univ.

  17. Backup Slide Tomoaki Nakamura Hiroshima Univ.

  18. Backup (1) PC1 PC1 j=1Δη=0.3500 Raw Cluster Phi [rad] Phi [rad] PC3 PC3 Z [cm] Z [cm] Phi [rad] Phi [rad] Z [cm] Z [cm] EMC EMC Phi [rad] Phi [rad] Z [cm] Z [cm] Tomoaki Nakamura Hiroshima Univ.

  19. Rejection of Asymmetric dense Cluster associated PC3 cluster PC3 cluster PC1 cluster associated PC1 cluster Z Z Rejected EMC cluster BBC-Zvertex Tomoaki Nakamura Hiroshima Univ.

  20. Window shift method A symmetric structure appears in wrong level Shift the start bin at each resolution level. Find djk max among all of levels. This can determine the level (domain size) with the largest deviation size. djk is lower should appear here ! Tomoaki Nakamura Hiroshima Univ.

  21. Performance of window shift method Success probability that a correct domain size is found Domain size of 28 / 2j j=1 j=2 j=3 j=4 j=5 j=6 j=7 Deviation size Ns Tomoaki Nakamura Hiroshima Univ.

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