Rich Mass vs. Mass^2

From: Claus O. E. Jorgensen (ekman@nbi.dk)
Date: Tue Apr 16 2002 - 12:50:09 EDT

  • Next message: Flemming Videbaek: "Re: brag and T2"

    Hi all,
    
    Thanks to Peter I realized that it's maybe not so clever to calculate the
    mass from the RICH rings (some may even say that it's a bit stupid). One
    should rather calculate the mass^2 (like for the time-of-flight walls).
    
    The RICH mass is calculated from the momentum and the radius of the
    reconstructed rings (or the cherenkov angle theta). The mass is
    calculated from
    
    m = p sqrt( (n*cos(theta))^2 - 1 )
    
    The problem is just that (n*cos(theta))^2 - 1) can be negative, if the
    measured theta/radius is bigger than the theoretical maximum 
    theta/radius. Fortunately the resolution of the RICH is so good that this
    does not happen very often - we loose approx 3% of the calculated masses 
    in the high field runs (1/2 field), and probably much less in the lower
    field runs.
    
    The right way to do it, is to use mass^2 all the way (as for the
    time-of-flight walls):
    
    m^2 = p^2 * (n*cos(theta))^2 - 1)
    
    If you use the RichPid objects the radius should be ok, but if you make
    cuts in mass I guess you will loose the few cases where (n*cos(theta))^2)>1. 
    
    I would like to make the changes in brat soon - that is introduce mass2
    instead of mass in the BrRichPid class. This will of course cause some 
    trouble for those that use the mass from the BrRichPid objects. If
    there are no strong objections I will commit the changes one of these
    days.
    
    Comments and suggestions are welcome!
    
    Claus
    
    +-------------------------------------------------------------+
    | Claus Jørgensen                                             |
    | Cand. Scient.                  Phone  : (+45) 33 32 49 49   |
    |                                Cell   : (+45) 27 28 49 49   |
    | Niels Bohr Institute, Ta-2,    Office : (+45) 35 32 53 07   |
    | Blegdamsvej 17, DK-2100,       E-mail : ekman@nbi.dk        |
    | University of Copenhagen       Home   : www.nbi.dk/~ekman/  |
    +-------------------------------------------------------------+
    



    This archive was generated by hypermail 2b30 : Tue Apr 16 2002 - 12:50:53 EDT