Re: width of dnd/deta

From: Trine S. Tveter (trine@lynx.uio.no)
Date: Fri Nov 23 2001 - 05:52:13 EST

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    Hi collaborators,
    
    On Wed, 21 Nov 2001, Chellis Chasman wrote:
    
    > 1)  As I have said, I believe we have independent evidence 
    > that the distributions become narrower with increased              
    > centrality.  This seems counter-intuitive to me and thus
    > an interesting observation.  Perhaps it is worth a
    > sentence in the paper.
     
    and on Thu, 22 Nov 2001, Dieter Rohrich wrote:
    
    > At SPS, the h- rapidity distribution is narrower in central
    > nucleus-nucleus collisions than in nucleon-nucleon. It is not a big
    > effect, but it is significant. I would like to support Chellis' 
    > proposal to add a sentence and/or to include the RMS/FWHM in the table 
    > - if a quantitative analysis (RMS from the histogram, 2-Gaussian fit,
    > etc.) confirms Chellis' observation. 
    
    I calculated the RMS values for the dN/dEta distributions
    of various centrality classes for 200 and 130 GeV, from the
    data in the files dndeta_sym_200.dat and dndeta_sym_130.dat
    found at "the usual place at the kansas account".
    The results are plotted as a function of centrality class
    (1 = 0-5%, 6 = 40-50%) in the figures:
    
    http://lynx.uio.no/~trine/brahms/mult/RMS_fullerrors.gif
    (using the full errors taken from the .dat files)
    
    http://lynx.uio.no/~trine/brahms/mult/RMS_smallerrors.gif
    (using the 3% point-to-point errors like in the alpha,beta fits)
    
    Upper panels:  Red points 200 GeV data, blue points 130 GeV data.
    Lower panels:  RMS 200 GeV / RMS 130 GeV.
    
    The trend pointed out by Chellis looks significant.  Also there
    are indications that the width increase from 130 to 200 GeV
    is stronger for the more central collisions (as also seen from
    our figure 4.)  What do you think - does this merit a sentence
    in the paper?
    
    The numbers are given below for reference.
    
                                           Best wishes,
                                              Trine
    _____________________________________________________________
    
    Full errors:
    0-5%:
    RMS200: 2.32861+-0.0253931 RMS130: 2.21047+-0.024398 
    Ratio: 1.05345+-0.0163451
    5-10%:
    RMS200: 2.3554+-0.0252404 RMS130: 2.23798+-0.0244402 
    Ratio: 1.05247+-0.0161029
    10-20%:
    RMS200: 2.37433+-0.0252682 RMS130: 2.25484+-0.02383 
    Ratio: 1.05299+-0.0157931
    20-30%:
    RMS200: 2.38742+-0.0255841 RMS130: 2.27923+-0.024796 
    Ratio: 1.04747+-0.0159955
    30-40%:
    RMS200: 2.39571+-0.0255872 RMS130: 2.30663+-0.0247556 
    Ratio: 1.03862+-0.0157259
    40-50%:
    RMS200: 2.40582+-0.025714 RMS130: 2.32596+-0.0251689 
    Ratio: 1.03433+-0.0157317
    
    Point-to-point errors of 3% on dN/dEta:
    0-5%:
    RMS200: 2.32861+-0.00792104 RMS130: 2.21047+-0.00761942 
    Ratio: 1.05345+-0.00510162
    5-10%:
    RMS200: 2.3554+-0.00793332 RMS130: 2.23798+-0.00766753 
    Ratio: 1.05247+-0.00505651
    10-20%:
    RMS200: 2.37433+-0.00796683 RMS130: 2.25484+-0.00771144 
    Ratio: 1.05299+-0.00504501
    20-30%:
    RMS200: 2.38742+-0.00795419 RMS130: 2.27923+-0.00776257 
    Ratio: 1.04747+-0.00499057
    30-40%:
    RMS200: 2.39571+-0.00795148 RMS130: 2.30663+-0.00779476 
    Ratio: 1.03862+-0.00491955
    40-50%:
    RMS200: 2.40582+-0.00793511 RMS130: 2.32596+-0.00777788 
    Ratio: 1.03433+-0.00485815
    



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