Electron Undergoing Annihilation

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SUMMARY

A 5 MeV electron undergoes annihilation with a stationary positron, resulting in the production of two photons. The total energy of the system, which includes the rest energy of the positron, is 5 MeV plus the rest mass energy of the positron (approximately 0.511 MeV). Therefore, the total energy available for the two photons is 6.022 MeV. Momentum conservation dictates that one photon travels in the direction of the incident electron while the other travels in the opposite direction. The energy of each photon can be calculated using these conservation laws.

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  • Understanding of particle physics concepts, specifically electron-positron annihilation
  • Knowledge of energy and momentum conservation laws
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  • Basic understanding of relativistic mass-energy equivalence
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Jacob87411
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A 5MeV electron undergoes annihilation with a positron that is at rest, producing two photons. One of the photons travels in the direction of the incident electron. Calculate the energy of each photon.

So the 5 MeV electron undergoes annihilation with a positron and from that 2 separate photons are formed. The energy of both photons should equal back up to the 5 MeV correct? Also one of the photons travels back the same way the electron came but I am not clear on how to use that piece of info.
 
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Jacob87411 said:
So the 5 MeV electron undergoes annihilation with a positron and from that 2 separate photons are formed. The energy of both photons should equal back up to the 5 MeV correct?

Don't forget to include the rest energy of the stationary particle. Is 5 MeV is the total energy or kinetic energy of the other one?


Also one of the photons travels back the same way the electron came but I am not clear on how to use that piece of info.

You need to conserve both momentum (a vector) and energy (a scalar).
 
Ah, right..momentum is conserved. So the particles will be a sum of the 5MeV and the rest energy of that positron.
 

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