Solving 4-Momentum Problem: Determining Threshold for Triplet Production

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SUMMARY

The discussion focuses on the conservation of 4-momentum in determining the threshold for triplet production from a photon and an electron. The correct threshold energy is established as 4m0c2, where m0 is the rest mass of the produced particles. The initial energy equation is given as E12 = (pc)2 + (m0c2)2, while the energy at threshold after collision is E22 = (3m0c2)2. The user struggles with the application of 4-momentum in their calculations, indicating a need for clarity on the conservation principles involved.

PREREQUISITES
  • Understanding of 4-momentum conservation principles
  • Familiarity with relativistic energy-momentum relations
  • Knowledge of particle physics, specifically triplet production
  • Basic grasp of photon and electron interactions
NEXT STEPS
  • Study the derivation of 4-momentum conservation in particle collisions
  • Learn about relativistic energy-momentum equations in detail
  • Research the conditions for triplet production in high-energy physics
  • Examine examples of threshold energy calculations in particle physics
USEFUL FOR

This discussion is beneficial for physics students, particle physicists, and educators focusing on relativistic mechanics and particle interactions, particularly those interested in the nuances of 4-momentum conservation.

coregis
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I'm having trouble understanding conservation of 4-momentum. My problem is about dertermining the threshold for triplet production from a photon and an electron using 4-momentum conservation. The answer is 4m0c^2. So far, I say the initial energy is:

E1^2=(pc)^2 + (m0c^2)^2=(hv)^2+(m0c^2)^2

At threshold energy after collision, three particles with no momentum are produced, so

E2^2=(3m0c^2)

E1=E2, but substituting and solving for hv does not work out correctly, and I have not used 4-momentum at all anyhow. What am I doing wrong/forgetting? Help!
 
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It might help to know what the question actually asks.
 
David said:
It might help to know what the question actually asks.
verbatim- "Show the threshold for triplet production is 4m0c^2 using the concept of conservation of 4-momentum." Sorry for the paraphrase.
 
Last edited:

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