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Kaon in an accelerator, Lorentz transformation problem

  1. Oct 28, 2012 #1
    1. The problem statement, all variables and given/known data
    Ok so a Kaon (m = 500MeV) is accelerated from rest along the z-axis to a final energy of 5GeV, I need to find two factors of a lorrentz transformation β and γ and write a four vector for this.


    2. Relevant equations
    β=p/E γ=E/m


    3. The attempt at a solution
    I have calculated this using the above equations but I don't know if I've gone about it the right way.

    I have β≈1 and γ=10 - can anyone tell me if this is anything like what it should be??

    Thanks,

    K xoxo
     
  2. jcsd
  3. Oct 28, 2012 #2

    vela

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    Your result for ##\gamma## is right, but you could be a bit more precise about what ##\beta## equals.
     
  4. Oct 28, 2012 #3
    Yeah it's actually 0.995 or something like that, it's just it seems from the nature of the question that it would require more work than that - I also don't understand where these components fit into a 4-vector?

    Thanks for this,

    K xx
     
  5. Oct 28, 2012 #4

    vela

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    The energy-momentum four-vector is simply ##p^\mu = (E, p_x, p_y, p_z)##, where E is the total energy and the pi's are the particle's three-momentum.
     
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