Angular momentum in particle interaction

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SUMMARY

The discussion centers on the interaction between two electrons exchanging a virtual photon, specifically addressing the conservation of angular momentum. When electron A gains momentum ##-\vec{p}## and electron B gains momentum ##\vec{p}##, the non-collinearity of these momentum vectors results in additional angular momentum. In classical terms, using Lienard-Wiechert theory, it is established that if electron A accelerates perpendicularly to the line connecting A and B, electron B will receive momentum in a direction that is not parallel to this line, thus affecting angular momentum conservation.

PREREQUISITES
  • Understanding of virtual particles in quantum mechanics
  • Familiarity with angular momentum conservation laws
  • Knowledge of Lienard-Wiechert potentials
  • Basic principles of electromagnetic interactions
NEXT STEPS
  • Research the implications of virtual photon exchange in quantum electrodynamics
  • Study angular momentum conservation in particle physics
  • Explore Lienard-Wiechert theory in detail
  • Investigate non-collinear momentum interactions in particle collisions
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Physicists, particularly those specializing in quantum mechanics and particle physics, as well as students seeking to understand the complexities of angular momentum in particle interactions.

johne1618
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Imagine that two electrons interact by exchanging a virtual photon.

Electron A gains momentum ##-\vec{p}## and electron B gains momentum ##\vec{p}##.

If the two momentum vectors are not collinear then there will be extra angular momentum left over from the interaction.

In a simple Coulomb interaction the momenta of A and B are collinear but I would have thought that in a general interaction they would not be. In that case how would angular momentum be conserved?

PS As the photon is virtual there isn't anything left in the EM field.
 
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johne1618 said:
In a simple Coulomb interaction the momenta of A and B are collinear but I would have thought that in a general interaction they would not be.
Why do you think that?
 
mfb said:
Why do you think that?

I can only think in classical terms using the Lienard-Wiechert theory.

If electron A has an acceleration perpendicular to the line A-B then electron B will receive some momentum perpendicular to A-B opposite A's acceleration.

Therefore the total momentum, ##\vec{p}##, transferred to B will not be parallel to A-B.
 

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