Gamma ray cross sections from classical plane wave

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SUMMARY

The discussion centers on the inadequacy of using classical electrodynamics principles, specifically the exponential attenuation of transverse electromagnetic (TEM) waves, to estimate the cross section of low energy gamma rays in metals. It is established that this approach fails due to the differing interactions between TEM waves and free electrons compared to gamma rays. Instead, accurate estimates for low energy gamma ray cross sections should utilize the Klein-Nishina formula, which accounts for relativistic effects during gamma ray interactions with electrons.

PREREQUISITES
  • Understanding of classical electrodynamics principles
  • Familiarity with gamma ray interactions and attenuation
  • Knowledge of the Klein-Nishina formula for Compton scattering
  • Basic concepts of relativistic physics
NEXT STEPS
  • Study the Klein-Nishina formula in detail
  • Research the mechanisms of Compton scattering
  • Explore the differences between low energy and high energy gamma ray interactions
  • Investigate the implications of relativistic effects in particle physics
USEFUL FOR

Physicists, researchers in nuclear and particle physics, and anyone interested in the interactions of gamma rays with matter.

pierce15
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I am aware that in classical electrodynamics a metal exponentially attenuates TEM waves. I am wondering if this fact is sufficient to obtain estimates of the cross section of low energy gamma rays in metals. Obviously it would fail for higher energy gamma rays where Compton scattering and pair production dominate.
 
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No, it is not sufficient to obtain estimates of the cross section of low energy gamma rays in metals because the exponential attenuation of TEM waves is a consequence of the interaction between the wave and the free electrons in a metal, and this interaction does not apply to gamma rays. Low energy gamma ray cross sections can be estimated using calculations based on the Klein-Nishina formula for Compton scattering, which takes into account the relativistic effects that occur when a gamma ray interacts with an electron.
 

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