Special relativity collisions problem

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SUMMARY

The discussion centers on a physics problem involving two particles, p1 and p2, where p1 is stationary and p2 possesses energy E. Upon annihilation, they produce two particles each with a mass of 100m. The minimum value of E required for this process is determined by ensuring that the center of mass (CM) frame energy is sufficient to create the new particles, specifically requiring a total energy of 100m in the CM frame where total momentum equals zero.

PREREQUISITES
  • Understanding of special relativity principles
  • Familiarity with center of mass (CM) frame concepts
  • Knowledge of particle annihilation processes
  • Basic grasp of energy-momentum conservation laws
NEXT STEPS
  • Study the implications of energy-momentum conservation in particle collisions
  • Learn about the center of mass frame in special relativity
  • Explore particle annihilation and its energy requirements
  • Investigate the relationship between mass and energy in relativistic physics
USEFUL FOR

Students of physics, particularly those studying special relativity, as well as educators and professionals involved in particle physics and energy conservation analysis.

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Homework Statement


We have two particles mass m called p1 and p2. P1 is stationary, p2 has energy E. They annihilate to produce to particles of mass 100m. We need to find the min value of E


Homework Equations





The Attempt at a Solution


I suspect that the minimum initial energy of collision in the LAB frame is such that the CM frame energy is just enough to create the particles i.e that they are stat afterwards. In which case they would coalesce in the LAB frame (or any other). Is this true?
 
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Right. You need 100m in the CM frame (where total momentum=0).
 

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