Which electron on annihilation will release more energy

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SUMMARY

The discussion focuses on the energy released during the annihilation of electrons, specifically comparing an electron at rest versus one in relative motion. It is established that in the center of mass reference frame, both electrons annihilate, producing two photons that travel in opposite directions. The energy released is determined by the total energy of the system, which includes the rest mass energy and any kinetic energy of the moving electron. Therefore, the electron in relative motion contributes additional kinetic energy, resulting in greater energy release upon annihilation.

PREREQUISITES
  • Understanding of particle physics concepts, specifically electron behavior.
  • Familiarity with the principles of energy conservation in particle interactions.
  • Knowledge of the center of mass reference frame in physics.
  • Basic understanding of photon production during particle annihilation.
NEXT STEPS
  • Research the concept of energy-momentum conservation in particle physics.
  • Explore the implications of relativistic effects on particle interactions.
  • Study the process of photon emission during electron-positron annihilation.
  • Learn about the role of kinetic energy in particle collisions and annihilation events.
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Students and enthusiasts of particle physics, educators teaching concepts of energy in particle interactions, and researchers exploring electron behavior in annihilation processes.

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Homework Statement


which electron on annihilation will release more energy ,the one at rest or the one in relative motion


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The Attempt at a Solution

 
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Where's your attempt? Remember that the annihilation involves, in the reference frame of the two particles' center of mass, the particles rushing in at each other at the same speed and two photons going out in the opposite direction.
 

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