A scattering of light particles from a heavy stationary particles,.

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SUMMARY

The discussion centers on the scattering of light particles from heavy stationary particles, emphasizing the use of Born approximations. It highlights that while the initial and final momentum of light particles maintains the same magnitude, this raises questions about total momentum conservation. The conversation also addresses the conditions under which recoil can be neglected, specifically when the mass of the heavy particle (M) is significantly greater than the momentum transfer (k). For cases where M is smaller, the Compton effect must be considered due to changes in wavelength.

PREREQUISITES
  • Understanding of momentum conservation principles
  • Familiarity with Born approximations in quantum mechanics
  • Knowledge of the Compton effect and its implications
  • Basic concepts of particle scattering
NEXT STEPS
  • Study the mathematical formulation of Born approximations in quantum scattering
  • Explore the Compton effect and its derivation
  • Investigate momentum conservation in particle physics
  • Learn about the implications of recoil in scattering experiments
USEFUL FOR

Physicists, students of quantum mechanics, and researchers involved in particle physics and scattering theory will benefit from this discussion.

touqra
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A scattering of light particles from a heavy stationary particles, the momentum of the light particles change direction after scattering, and we could use Born approximations.
We also take that the initial momentum and the final momentum has the same magnitude.
But how could it be when total momentum should be conserved?
 
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touqra said:
A scattering of light particles from a heavy stationary particles, the momentum of the light particles change direction after scattering, and we could use Born approximations.
We also take that the initial momentum and the final momentum has the same magnitude.But how could it be when total momentum should be conserved?


Can you justify your claim ?

Daniel.
 
touqra said:
A scattering of light particles from a heavy stationary particles, the momentum of the light particles change direction after scattering, and we could use Born approximations.
We also take that the initial momentum and the final momentum has the same magnitude.
But how could it be when total momentum should be conserved?
For M>>k, the neglect of recoil is a reasonable approximation.
For smaller M, the recoil momentum has to be included, and you have the
Compton effect with a change in wavelength.
 

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