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

Z Boson, Posiron-Electron Annihilation.

  1. Sep 4, 2009 #1
    Suppose I want to find the minimum velocity of the electron and positron required to make a Z boson during annihilation. How would I go about this? I had an attempt which came out at 422ms^-1. This doesnt really seem right... so i'm guessing i made a big mistake...
  2. jcsd
  3. Sep 4, 2009 #2
    If Z-boson is much heavier than electron, then the initial particles should be highly relativistic: with v ≈ c (to create a real Z-boson, not virtual).
  4. Sep 4, 2009 #3
    You need kinetic energy of the two ([tex]2 \gamma m_e c^2 [/tex]) to add up to rest energy of the Z boson. That gives you [tex]\gamma[/tex] around 90 thousand. Velocity [tex]v = c \sqrt{1-1/\gamma^2} \approx c(1-1/2\gamma^2)[/tex]
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook