Re: width of dnd/deta

From: Michael Murray (murray@CyclotronMail.tamu.edu)
Date: Mon Nov 26 2001 - 05:04:41 EST

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       Dear Trine and Dieter,
                     I think it is worth discussing the 
    change of shape with centrality even if it only reflects the
    growth of hard collisions at central rapidity. What is |eta| RMS for pp and and
    what is the reference?
             Yours Michael        
    > 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
    > 
    
    
    
    Michael Murray, Cyclotron TAMU, 979 845 1411 x 273, Fax 1899
    



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