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Explore Glauber implementation, error analysis, and results presented by Mike Miller at Yale University. Study central vs peripheral events using Nh-, Npart, Ncoll, b parameters. Consider Woods-Saxon model, numerical calculations, and MC simulation. Discuss NH- mapping, particle production scaling, and cross-section calculations. Insights from STAR analysis meeting highlighted.
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Number of Participants Study Mike Miller Yale University 7/19/01
Outline • Motivation • Optical based Glauber implementation • Status of current results • Status of error analysis Glauber Working Group (7/19/01)
Motivation • Compare Central events to peripheral • Map Nh- to Npart, Ncoll, b • 2d-Centrality Selection: • ZDC + ? • STAR: • No beam-beam counter (until post AA FY2001), only CTB • ZDC+CTB works only for most central bins • Cannot plot NH- vs. NH-! • Plot NH- vs. Npart! Glauber Working Group (7/19/01)
Year 1 Centrality Selection • Do not want to select on Et, Ncharge • STAR Y1 selection valid only at high centrality • Large improvement in future centrality selection • Is plotting Ncharge vs Npart shady? Glauber Working Group (7/19/01)
Woods-Saxon: from e-A • Overlap Integral: • Sigma: • Binary Collisions: • Participants: General Glauber Theory All as a function of b! Glauber Working Group (7/19/01)
Numerical Calculations • Identical to Kharzeev Glauber Results ~Npart4/3 Glauber Working Group (7/19/01)
“M.C.” Glauber Implementation • Randomly generate b. • Look up probability of interaction. • Use M.C. sampling, decide if interaction takes place. • If interaction, fill histograms with Npart, Nbc Glauber Working Group (7/19/01)
0-5% 50-60% Mapping NH- to Npart • Map means bin-by-bin • Parameterize (pol2 fit) • Address Fluctuations later Avoid peripheral region Glauber Working Group (7/19/01)
More central Particle Production Scaling Model • Simple assumptions to map b-NH-: • Mean (bin-by-bin) • Dispersion • Statistical Model (Gaussian2) • Parameter: a! Cross section given by integrating over impact Npart with proper weighting. Glauber Working Group (7/19/01)
69 9.8 132 8 194 6.4 255 5 314 3.4 359 1.8 372 1.1 b(fm) Npart 121 294 481 694 926 1115 1170 Nbc Optical Glauber Results • Restricted to 60% or less centrality => Npart > 35 • Use a=1.2 Glauber Working Group (7/19/01)
Error Analysis • Sigmapp=41+-1 mb => less than 1% effect • Npart vs Ncoll “MC” distribution => less than 4% effect • Deformation => less than 1% effect • 5% Uncertainty in total cross-section: 17% in most peripheral bin, .5% in most central bin “Jiggle” bin boundaries, calculate change in Npart Glauber Working Group (7/19/01)
Results Glauber Working Group (7/19/01)
Results STAR Analysis Meeting (5/01)
Conclusions • Pluses: • No scaling hypothesis • Fluctuations well described with one parameter • Quote Npart > 35 • Error on Npart < 17% • Errors driven by vertex finding inefficiencies, trigger inefficiencies, theory estimate on cross-section • Minuses: • Limited to 60% most central bin • Dependent on Glauber differential cross-section Glauber Working Group (7/19/01)
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