test1_2010.pdf - PY 203 Test#1 Practice 1 Why do...

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PY 203 Test #1 - Practice 1) Why do particle-physics experiments nowadays all involve colliding one diffuse beam of particles with an oppositely directed diffuse beam? Wouldn ʼ t it be easier to just smash one beam into a stationary target? We will address this question with particular application to the Large Hadron Collider. A. Consider two protons (mass m p ) approaching each other along the x-axis with equal and opposite velocities ±u and Lorentz factor γ u . Let that frame (the lab frame) be frame S . Call the right-moving proton A and the left-moving one B. Write down the total relativistic energy and x -momentum for each particle. B. Now let frame S move to the right at speed u . Find the energies of the two protons in S , in terms of the given quantities. Show that the result is qualitatively what you expect. By what factor is the energy of proton B different in S than in S ? C. Call the LHC beam energy E b , and find the Lorentz factor γ u that protons must have to have that energy in frame S . For the actual value
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  • Fall '08
  • Reynolds,S
  • Particle Physics, Large Hadron Collider, Lorentz, Lorentz factor γu, frame S., diffuse beam

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