Re: Hard/soft scaling Equation is wrong

From: Trine S. Tveter (trine@lynx.uio.no)
Date: Wed Nov 21 2001 - 11:07:52 EST

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    Hi Michael, Jens Jorgen and others,
    
    On Wed, 21 Nov 2001, Michael Murray wrote:
    
    > the Hard/soft scaling equation we use is
    > incorrect and clearly in contradiction to Fig 5.
      
    > Thus I think that we should write
    > dN             Npart
    > --   = alpha * -----  + Beta * Ncoll
    > dEta             2
    
    > I think this is what Trine fitted to. 
    > It is also clear that the errors on alpha and beta are 
    > anticorrelated since the total value of dN/dEta is fixed.
    
    > Therefore I suggest that we use +- for the errors on alpha
    > and -+ for the errors on beta.
    
    You're absolutely right, Michael - thanks for being so observant!
    
    The equation I actually fitted to was:
    
      dN             
      --   = alpha * Npart  + Beta * Ncoll
     dEta             
    
    (like Phenix did in Adcox, PRL 86) but it's trivial to transform to the 
    Npart/2 dependence by scaling alpha+-errors up with a factor of 2.  Which
    form of the equation should we use in the paper?
    
    Also alpha and beta errors are truly anticorrelated - they should be 
    +- and -+ (think I quoted the errors that way - but it's very hard to 
    overlook! :-))
    
                                          Cheers,
                                                  Trine
    



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