Re: width of dnd/deta

From: Michael Murray (murray@CyclotronMail.tamu.edu)
Date: Mon Nov 26 2001 - 06:09:38 EST

  • Next message: Chellis Chasman: "RE: width of dnd/deta"

        Dear Friends,
                    I would like us to mention the change in Eta_RMS
      so I made a first stab at some text. After saving the odd word
      here and there to save lines the new text fits on 4 pages.
      Note that we are currently comparing to pp but not
      referencing it. We may also want to reference to SPS distributions.
    
      I have attached the latex file to this message.
    
       
    
    
    
    For the most peripheral collisions analyzed here (40-50\%)
    the multiplicities at $\eta=0$ reach $dN/d\eta=110\pm 10$ while the
    corresponding value scaled to the number of participating pairs is
    2.9$\pm 0.3$. For comparison, the similar number for proton-proton
    collisions at this energy is 2.5, also a 14\% increase as compared to
    the lower energy, \cite{ppmult}.
    Indeed, the  of the most central distributions
    is $\eta_{RMS} = 2.33 \pm 0.03$ for $\sqrt{s_{NN}}$=200~GeV, as
    compared to $\eta_{RMS} = 2.21 \pm 0.01$  at 130~GeV.
    This is large smaller than the corresponding pp result.
    In contrast
    to lower energy data \cite{SPSmult}    $\eta_{RMS}$  is larger
    , $2.41 \pm .01$ at   (40-50\%) centrality, for more
    for more peripheral  collisions. This presumably reflects
    the increasing importance of hard collisions near $\eta=0$.
    
    For the title how about
    title{Charged particle pseudorapidity distributions from  AuAu
      collisions at \protect{$\sqrt{s_{NN}}$}=200GeV}
    
    which fits on 1 line.
    
    
    Reaction centrality %if %MJM
    is obtained, for example, by assuming that
    the 5\% of events with the highest total multiplicity in either the
    MA or BBC arrays corresponds to the 5\% most central events.
    In analyzing particle
    
    The ZDC detectors are located $\pm$18m from the nominal
    interaction vertex and measure neutrons that are emitted at small
    angles with respect to the beam direction ~\cite{adler00}.
    
    Reaction centrality %if %MJM
    is obtained, for example, by assuming that
    the 5\% of events with the highest total multiplicity in either the
    MA or BBC arrays corresponds to the 5\% most central events.
    
    
    Indeed, the FWHM of the most central distributions
    is $\Delta \eta = 7.5 \pm 0.5$ for $\sqrt{s_{NN}}$=200~GeV, as
    compared to $\Delta \eta = 7.2 \pm 0.8$ for $\sqrt{s_{NN}}$=130~GeV
    collisions. For the most peripheral collisions analyzed here (40-50\%)
    the multiplicities at $\eta=0$ reach $dN/d\eta=110\pm 10$ while the
    corresponding value scaled to the number of participating pairs is
    2.9$\pm 0.3$. For comparison, the similar number for proton-proton
    collisions at this energy is 2.5, also a 14\% increase as compared to
    the lower energy.
    
    Replaced by
    
    
    %In general, statistical error on
    In general, statistical errors on
    the measurements are less than 1\%, while we estimate that the
    systematic errors are 8\% and 10\% for the SiMA and BBC arrays,
    respectively.
    Quoting Michael Murray <murray@cyclotronmail.tamu.edu>:
    
    >    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
    > 
    
    
    
    Michael Murray, Cyclotron TAMU, 979 845 1411 x 273, Fax 1899
    
    

    Dear Friends, I would like us to mention the change in Eta_RMS so I made a first stab at some text. After saving the odd word here and there to save lines the new text fits on 4 pages. Note that we are currently comparing to pp but not referencing it. We may also want to reference to SPS distributions. I have attached the latex file to this message. For the most peripheral collisions analyzed here (40-50\%) the multiplicities at $\eta=0$ reach $dN/d\eta=110\pm 10$ while the corresponding value scaled to the number of participating pairs is 2.9$\pm 0.3$. For comparison, the similar number for proton-proton collisions at this energy is 2.5, also a 14\% increase as compared to the lower energy, \cite{ppmult}. Indeed, the of the most central distributions is $\eta_{RMS} = 2.33 \pm 0.03$ for $\sqrt{s_{NN}}$=200~GeV, as compared to $\eta_{RMS} = 2.21 \pm 0.01$ at 130~GeV. This is large smaller than the corresponding pp result. In contrast to lower energy data \cite{SPSmult} $\eta_{RMS}$ is larger , $2.41 \pm .01$ at (40-50\%) centrality, for more for more peripheral collisions. This presumably reflects the increasing importance of hard collisions near $\eta=0$. For the title how about title{Charged particle pseudorapidity distributions from AuAu collisions at \protect{$\sqrt{s_{NN}}$}=200GeV} which fits on 1 line. Reaction centrality %if %MJM is obtained, for example, by assuming that the 5\% of events with the highest total multiplicity in either the MA or BBC arrays corresponds to the 5\% most central events. In analyzing particle The ZDC detectors are located $\pm$18m from the nominal interaction vertex and measure neutrons that are emitted at small angles with respect to the beam direction ~\cite{adler00}. Reaction centrality %if %MJM is obtained, for example, by assuming that the 5\% of events with the highest total multiplicity in either the MA or BBC arrays corresponds to the 5\% most central events. Indeed, the FWHM of the most central distributions is $\Delta \eta = 7.5 \pm 0.5$ for $\sqrt{s_{NN}}$=200~GeV, as compared to $\Delta \eta = 7.2 \pm 0.8$ for $\sqrt{s_{NN}}$=130~GeV collisions. For the most peripheral collisions analyzed here (40-50\%) the multiplicities at $\eta=0$ reach $dN/d\eta=110\pm 10$ while the corresponding value scaled to the number of participating pairs is 2.9$\pm 0.3$. For comparison, the similar number for proton-proton collisions at this energy is 2.5, also a 14\% increase as compared to the lower energy. Replaced by %In general, statistical error on In general, statistical errors on the measurements are less than 1\%, while we estimate that the systematic errors are 8\% and 10\% for the SiMA and BBC arrays, respectively.



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