How Do You Calculate Max Energy in Particle Accelerator Collisions?

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SUMMARY

The discussion focuses on calculating the maximum available energy in particle accelerator collisions involving a 1TeV proton beam. Three scenarios are analyzed: a fixed target, a 50GeV electron, and an antiproton beam. It is established that both momentum and total energy must be conserved during these collisions. To simplify calculations, determining the center-of-mass of the collision system is essential for applying conservation laws effectively.

PREREQUISITES
  • Understanding of relativistic energy-momentum relations
  • Familiarity with particle physics concepts, including center-of-mass
  • Knowledge of conservation laws in physics
  • Basic proficiency in using equations related to energy and momentum
NEXT STEPS
  • Study the principles of relativistic energy-momentum conservation
  • Learn how to calculate the center-of-mass energy in particle collisions
  • Explore the implications of different collision types in particle physics
  • Investigate the role of particle accelerators in high-energy physics experiments
USEFUL FOR

This discussion is beneficial for physicists, particle accelerator engineers, and students studying high-energy physics, particularly those interested in collision dynamics and energy calculations in particle interactions.

astrochick1133
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hi, just wondering if someone could help me with some questions about collisions in accelerators. i have a 1TeV proton beam being collided with a) a fixed target, b) a 50GeV electron and c) an antiproton beam. i have to find the max available energy for the production of new particles in each case.
is this just a case of e=mc^2, or do i have to start working out momentums?
 
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astrochick1133 said:
hi, just wondering if someone could help me with some questions about collisions in accelerators. i have a 1TeV proton beam being collided with a) a fixed target, b) a 50GeV electron and c) an antiproton beam. i have to find the max available energy for the production of new particles in each case.
is this just a case of e=mc^2, or do i have to start working out momentums?

You must conserve both momentum and total energy. If you can find the center-of-mass of the collision system, then conserving momentum will be easy.
 

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