Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Reference frames for photon collisions (pair production)

  1. Sep 26, 2007 #1
    1. The problem statement, all variables and given/known data

    My question probably has a simple answer, but I've been scratching my
    head over it a little too long so I thought I would ask it here. I
    have three initial photons involved in a collision with 4-momenta k1,
    k2 and k3. I have two reference frames:
    frame 1: the centre of mass frame of photons k1 and k2 (so that 3-momenta k1+k2=0)
    frame 2: the centre of mass frame of all photons k1, k2 and k3 (so that 3-momenta k1+k2+k3=0)

    I want to find out what the relativistic beta v/c and gamma 1/Sqrt(1-(v/c)^2 are.

    2. Relevant equations

    (observed frequency/source frequency)^2=(1+beta)/(1-beta)

    3. The attempt at a solution

    So there seems no way to directly find the relative velocity of the two frames is as only photons are involved (relative velocity=c ?!?). I thought to use the expression for the relativistic doppler shift, but that doesn't seem appropriate.
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted