Particle Accelerator Problem, proton -> electron positron

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SUMMARY

The discussion centers on the Particle Accelerator Problem involving the conversion of a proton into an electron and a positron. The user calculates the energy of the photons using the formula E = 2hc/lambda and the energy of the electron and positron with E = 2mc^2/sqrt(1 - (.9999995c/c)^2). The key conclusion is that energy conservation principles dictate that the energy input must equal the energy output in this particle interaction scenario.

PREREQUISITES
  • Understanding of photon energy calculations using E = hc/lambda
  • Familiarity with relativistic energy equations, specifically E = mc^2
  • Knowledge of particle physics, particularly electron and positron properties
  • Basic principles of energy conservation in particle interactions
NEXT STEPS
  • Research advanced photon energy calculations in particle physics
  • Study relativistic momentum and energy conservation in particle collisions
  • Explore the properties and behaviors of electrons and positrons in accelerators
  • Learn about the implications of high-energy physics experiments on particle creation
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Physicists, students studying particle physics, and researchers involved in high-energy experiments will benefit from this discussion.

btbam91
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Particle Accelerator Problem, proton --> electron positron

He guys, I could use some help on this problem.

[PLAIN]http://img31.imageshack.us/img31/2039/physhw.jpg


I got the energy of the photons:

E = 2hc/lambda

Energy of the electron and positron I believe are:

E = 2mc^2/sqrt(1 - (.9999995c/c)^2)

Where do I go from here?
 
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energy in equals energy out, my friend.
 

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