Is the Hard Sphere Collision Cross Section for 3-Body Systems Always Zero?

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SUMMARY

The hard sphere collision cross section for three-body systems is established as always equal to zero in classical physics due to the improbability of simultaneous contact among three bodies. In quantum systems, the cross section is influenced by particle speeds and energy bound states, complicating the analysis. The discussion highlights the need for clarity on whether the context is classical or quantum mechanics when addressing collision cross sections.

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  • Understanding of classical mechanics and the concept of collision cross sections.
  • Familiarity with quantum mechanics, particularly energy bound states.
  • Knowledge of hard sphere models in physics.
  • Basic grasp of particle dynamics and speed relations in quantum systems.
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brad sue
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Hi everybody,

I was reading an article and I have this affirmation i don't know if correct:
the hard sphere collision cross section for 3 bodies always equal to zero. Is it true?

Why should it be?
Thank you
 
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You might want to provide a reference or at least a definition for "hard sphere".

In the classical sense, it is surely unlikely that three bodies make contact simultaneously. But are you talking of a classical or a quantum system?
 
Dr Lots-o'watts said:
You might want to provide a reference or at least a definition for "hard sphere".

In the classical sense, it is surely unlikely that three bodies make contact simultaneously. But are you talking of a classical or a quantum system?

Hard sphere is the "normal" cross section we have in classical physics namely pi*radius^2.
we are in quantum system and usually thr cross section is function of the particle speeds.

I am trying to understand this 3 body cross section with the quantum energy bound states but all those curves drive me crazy! maybe it is not the good way to approach it...
 

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