Notices
Results 1 to 4 of 4

Thread: relativity - particle collision

  1. #1 relativity - particle collision 
    New Member
    Join Date
    Oct 2006
    Posts
    3
    A Proton, m_{1} with Kinetic energy T = 200MeV strikes a stationary proton in the lab frame.
    p + p -> p + p + X

    what is the maximum mass of X, which can be produced.

    I think I need to make use of E^2 - P^2 c^2 is invariant.
    and
    In S: E = (m_{1} + m_{0}c^2 , p = p_{1]
    In S ' :

    E^2 - P^2 c^2 = E^2_{1} + 2m_{0}E_{1}c^2 + m^2_{0}c^4 - T^2 (1)

    where E_{1} = T + m_{0}c^2
    I'm not sure what is happening in the centre of mass frame, I thought that the particle would have maximum mass when there was zero K.E i.e E' = (2m_{0} + m_{x})c^2, p' = 0 in the lab frame but I got lost when I tried to equate this with (1). This violates conservation of momentum so its pretty clearly wrong, but I'm not sure where to go any help would be appreciated.


    Reply With Quote  
     

  2.  
     

  3. #2  
    Forum Professor river_rat's Avatar
    Join Date
    Jun 2006
    Location
    South Africa
    Posts
    1,515
    Why cant you just convert all the kinetic energy of the moving proton into mass after the collision and then just balance the new masses velocity to conserve momentum and energy?

    The equations arent pretty but it seems to work, just two relatively easy simulaneous equations.


    As is often the case with technical subjects we are presented with an unfortunate choice: an explanation that is accurate but incomprehensible, or comprehensible but wrong.
    Reply With Quote  
     

  4. #3  
    New Member
    Join Date
    Oct 2006
    Posts
    3
    E = 2Moc^2 + T Initial state
    = 2Moc^2 + (Mx)c^2 Final state (protons are at rest)
    p = (Moc^2 + T)/ c Initial state
    =

    I tried the Book says the answer is 17.6GeV.
    Reply With Quote  
     

  5. #4  
    New Member
    Join Date
    Oct 2006
    Posts
    3
    Found the answer .
    Reply With Quote  
     

Bookmarks
Bookmarks
Posting Permissions
  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •