Simulations on the Event-by-event Fluctuations of the Particle Yield Ratios D. Kresan, V. Friese GSI, Darmstadt, Germany Correlations and Fluctuations.

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Simulations on the Event-by-event Fluctuations of the Particle Yield Ratios D. Kresan, V. Friese GSI, Darmstadt, Germany Correlations and Fluctuations in Relativistic Nuclear Collisions Arcetri, Florence July

July D. Kresan Correlations and Fluctuations Workshop, Florence2 Outline Motivation Definition of dynamical fluctuations NA49 results vs. UrQMD – previous studies and consistency UrQMD studies –single particle ratios (K + over pi + /  and vice versa) –acceptance effects –resonance decay influence –hadronic cascades Toy model simulations (K* and  decay)

July D. Kresan Correlations and Fluctuations Workshop, Florence3 Motivation E-b-e fluctuations of the particle yield ratio are proposed as the signature for the critical endpoint But influence of acceptance, resonance decays and hadronic cascades on e-b-e fluctuations remains to be studied Model to start from – UrQMD. Has both resonances and re-scattering

July D. Kresan Correlations and Fluctuations Workshop, Florence4 Dynamical Fluctuations Measure the particle yields ratio in an event : K/  Relative width of distribution :  = RMS / MEAN  data 2 =  fin 2 +  exp 2 +  dyn 2 background Event mixing: no two tracks coming from one real event  mixed  dyn 2 =  data 2   mixed 2

July D. Kresan Correlations and Fluctuations Workshop, Florence5 NA 49 Measurements vs. UrQMD QM 2004

July D. Kresan Correlations and Fluctuations Workshop, Florence6 Acceptance Effects – forward rapidity 44 y > y cm

July D. Kresan Correlations and Fluctuations Workshop, Florence7 Acceptance Effects – momentum cut (PID) 44 y > y cm p lab >3GeV/c Possible reasons for differences: 1.Different UrQMD versions ? 2.Different acceptance conditions (acceptance filter vs. simplified cuts)

July D. Kresan Correlations and Fluctuations Workshop, Florence8 UrQMD Results central Au+Au at 25 AGeV 44 real

July D. Kresan Correlations and Fluctuations Workshop, Florence9 Acceptance Effects  dyn (%)44 y > y cm y>y cm && p lab >3 GeV/c K/  2.6    0.6 p/     0.1 K+/+K+/    0.5 K+/K+/ -7.9    0.3 K/+K/    0.7 K/K/ -7.5    1.2 central Au+Au at 25 AGeV by UrQMD Acceptance effect is present but not dramatic

July D. Kresan Correlations and Fluctuations Workshop, Florence10 Sources of Kaons in UrQMD 1.3 Results of collision history analysis central Au+Au at 25 AGeV by UrQMD Majority of kaons come from the K* decay

July D. Kresan Correlations and Fluctuations Workshop, Florence11 K* Decay Suppressed central Au+Au at 25 AGeV by UrQMD real

July D. Kresan Correlations and Fluctuations Workshop, Florence12 Summary Table σ dyn Nominalno K* decay no  decay t = 5 fm/ct = 2 fm/c K/  2.6      0.1 p/       0.1 K+/+K+/      0.6 K+/K+/ -8.0      0.3 K/+K/      0.6 K/K/ -7.0      0.9 σ dyn K* contribution  contribution t = 5 fm/ct = 2 fm/c K/  -6.2     0.1 p/  0.9     0.07 K+/+K+/     0.6 K+/K+/ -4.9    0.21  2 K/+K/     1.4 K/K/ -2.3    0.85  1

July D. Kresan Correlations and Fluctuations Workshop, Florence13 Resonances in Toy Model – K* K*(892) 0  K  Toy Model features: 1.Independent particle production with yields and kinematics from UrQMD 2.Fluctuations of Kaon number of various amplitude 3.Resonance decays 4.Chains of resonance decays = 41 = 363 Independently produced:

July D. Kresan Correlations and Fluctuations Workshop, Florence14 Resonances in Toy Model –   K+KK+K K0LK0SK0LK0S 00 0000 ++ = 41 = 363 Independently produced: analytical formula

July D. Kresan Correlations and Fluctuations Workshop, Florence15 Conclusion Our results of UrQMD simulations are consistent with ones obtained by C.Roland Acceptance has effect on resulting fluctuations K* decay is not the only source of correlations Positive fluctuations of the (K + +K  )/(  + +   ) ratio in UrQMD are mainly due to  decay Possibly charge conservation ??? Interpretation of this observable is feasible ONLY IF yields (and phase space distr.) of all resonances and daughter particles are known