CM energy for different mass/energy beams

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SUMMARY

The discussion centers on calculating the center of mass (CM) energy for collisions involving beams of differing masses and energies, specifically referencing the HERA electron and proton beams. The relevant equation for this calculation is derived from the 4-vector relativistic kinematic transformation, specifically equation 38.1 from the Particle Data Group's review. This equation is expressed as E² - p² = m², which is essential for determining the CM energy in such scenarios.

PREREQUISITES
  • Understanding of relativistic kinematics
  • Familiarity with 4-vector notation
  • Knowledge of particle collision dynamics
  • Basic grasp of the HERA experimental setup
NEXT STEPS
  • Study the derivation of the 4-vector relativistic kinematic transformation
  • Explore the implications of different mass and energy beams in particle physics
  • Learn about the HERA collider and its experimental significance
  • Investigate additional resources on CM energy calculations in particle collisions
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Particle physicists, researchers in high-energy physics, and students studying relativistic collisions will benefit from this discussion.

penguindecay
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Dear Particle Physicist,

I'm unable to find an equation for the CM energy to use for when colliding beams have different masses and energies, for example the HERA colliding electron beams with proton beams. If you know a website, and can write the equation I'd be grateful. Thanks in advance
 
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Just use E2- p2 = m2.
 

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