What is the collision probability for an energetic photon in free space?

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Discussion Overview

The discussion centers on the probability of an energetic photon interacting with ions in free space, considering factors such as ion gas density and photon wavelength. Participants explore whether the behavior of photons can be likened to that of classical particles in collision scenarios.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant inquires about the probability of photon interactions with ions, suggesting a comparison to particle collisions in a gas chamber.
  • Another participant argues that photon interactions cannot be treated as classical collisions and emphasizes the need for quantum electrodynamics (QED) or quantum field theory (QFT) for a complete understanding.
  • It is noted that the effective cross-sectional area for collisions peaks at certain energies, which correspond to the energy required to excite the ions, rather than being directly related to the wavelength of the photon.
  • One participant highlights that photon interactions depend significantly on the identity of the ions involved, referencing spectral lines.
  • A later reply suggests that if electrons are used as ions, there may be a relationship between the interaction probability and the wavelength of gamma rays.
  • A link to the Klein-Nishina formula is provided as a resource for further information.

Areas of Agreement / Disagreement

Participants express differing views on the treatment of photon interactions, with some emphasizing the quantum nature of these interactions and others exploring analogies to classical particle behavior. The discussion remains unresolved regarding the exact nature of the relationship between photon wavelength and interaction probability.

Contextual Notes

Participants acknowledge the complexity of the topic, indicating that a full understanding requires advanced knowledge of quantum mechanics and the specific characteristics of the ions involved. There are also references to the limitations of classical models in explaining photon interactions.

Ponderer
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Hi. Does anyone know the probability of an energetic photon interacting with ions in free space if we know the ion gas density and the photons wavelength? I'm trying to find out if the energetic photon is treated like a particle where its size is relative to it's wavelength. In other words, is it similar to the collision probability of a particle being shot inside a particle gas chamber? Thanks!
 
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It definitely cannot be treated as a classical collision. The full treatment would require stuff (QED/QFT) which is way beyond me. The size that you are after is the effective cross sectional area for the collision and typically peaks at certain energies where the available energy from the collision matches the energy required to excite the ion. It has nothing to do with the wavelength.
 
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Photon interaction is very much dependent on the identity of the ions - spectral lines.
 
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Yes that's what I thought, but was just wondering if it can be made to show results like a particle. If for example we use electrons for the ions, then I was wondering if the probability for interaction was relative to the gamma rays wavelength.
 

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